-
1
-
-
0026616225
-
The effects of averaging on the basic reproduction ratio
-
F. R. ADLER, The effects of averaging on the basic reproduction ratio, Math. Biosci., 111 (1992), pp. 89-98.
-
(1992)
Math. Biosci.
, vol.111
, pp. 89-98
-
-
Adler, F.R.1
-
2
-
-
0028116676
-
Some discrete-time SI, SIR, and SIS epidemic models
-
L. J. S. ALLEN, Some discrete-time SI, SIR, and SIS epidemic models, Math. Biosci., 124 (1994), pp. 83-105.
-
(1994)
Math. Biosci.
, vol.124
, pp. 83-105
-
-
Allen, L.J.S.1
-
3
-
-
0033979874
-
Comparison of deterministic and stochastic SIS and SIR models in discrete-time
-
L. J. S. ALLEN AND A. M. BURGIN. Comparison of deterministic and stochastic SIS and SIR models in discrete-time, Math. Biosci., 163 (2000), pp. 1-33.
-
(2000)
Math. Biosci.
, vol.163
, pp. 1-33
-
-
Allen, L.J.S.1
Burgin, A.M.2
-
6
-
-
0024274733
-
The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS
-
R. M. ANDERSON, ED., The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS, J. AIDS, 1 (1988), pp. 241-256.
-
(1988)
J. AIDS
, vol.1
, pp. 241-256
-
-
Anderson, R.M.1
-
7
-
-
0018656345
-
Population biology of infectious diseases I
-
R. M. ANDERSON AND R. M. MAY, Population biology of infectious diseases I, Nature, 180 (1979), pp. 361-367.
-
(1979)
Nature
, vol.180
, pp. 361-367
-
-
Anderson, R.M.1
May, R.M.2
-
8
-
-
0001430464
-
The population dynamics of microparasites and their invertebrate hosts
-
R. M. ANDERSON AND R. M. MAY, The population dynamics of microparasites and their invertebrate hosts, Philos. Trans. Roy. Soc. London Ser. B, 291 (1981), pp. 451-524.
-
(1981)
Philos. Trans. Roy. Soc. London Ser. B
, vol.291
, pp. 451-524
-
-
Anderson, R.M.1
May, R.M.2
-
9
-
-
0003611945
-
-
Springer-Verlag, Berlin, Heidelberg, New York
-
R. M. ANDERSON AND R. M. MAY. EDS., Population Biology of Infectious Diseases, Springer-Verlag, Berlin, Heidelberg, New York, 1982.
-
(1982)
Population Biology of Infectious Diseases
-
-
Anderson, R.M.1
May, R.M.2
-
10
-
-
0020519519
-
Vaccination against rubella and measles: Quantitative investigations of different policies
-
R. M. ANDERSON AND R. M. MAY, EDS., Vaccination against rubella and measles: Quantitative investigations of different policies, J. Hyg. Camb., 90 (1983), pp. 259-325.
-
(1983)
J. Hyg. Camb.
, vol.90
, pp. 259-325
-
-
Anderson, R.M.1
May, R.M.2
-
11
-
-
0022262704
-
Age related changes in the rate of disease transmission: Implication for the design of vaccination programs
-
R. M. ANDERSON AND R. M. MAY, EDS., Age related changes in the rate of disease transmission: Implication for the design of vaccination programs, J. Hyg. Camb., 94 (1985), pp. 365-436.
-
(1985)
J. Hyg. Camb.
, vol.94
, pp. 365-436
-
-
Anderson, R.M.1
May, R.M.2
-
12
-
-
0003677583
-
-
Oxford University Press, Oxford, UK
-
R. M. ANDERSON AND R. M. MAY, EDS., Infectious Diseases of Humans: Dynamics and Control, Oxford University Press, Oxford, UK, 1991.
-
(1991)
Infectious Diseases of Humans: Dynamics and Control
-
-
Anderson, R.M.1
May, R.M.2
-
13
-
-
77957175423
-
A preliminary study of the transmission dynamics of the human immunodeficiency virus, the causative agent of AIDS
-
R. M. ANDERSON, G. P. MEDLEY, R. M. MAY, AND A. M. JOHNSON, A preliminary study of the transmission dynamics of the human immunodeficiency virus, the causative agent of AIDS, IMA J. Math. Appl. Med. Biol., 3 (1986), pp. 229-263.
-
(1986)
IMA J. Math. Appl. Med. Biol.
, vol.3
, pp. 229-263
-
-
Anderson, R.M.1
Medley, G.P.2
May, R.M.3
Johnson, A.M.4
-
14
-
-
0024743066
-
Disease regulation of age-structured host populations
-
V. ANDREASEN, Disease regulation of age-structured host populations, Theoret. Population Biol., 36 (1989), pp. 214-239.
-
(1989)
Theoret. Population Biol.
, vol.36
, pp. 214-239
-
-
Andreasen, V.1
-
15
-
-
0027338915
-
The effect of age-dependent host mortality on the dynamics of an endemic disease
-
V. ANDREASEN, The effect of age-dependent host mortality on the dynamics of an endemic disease, Math. Biosci., 114 (1993), pp. 29-58.
-
(1993)
Math. Biosci.
, vol.114
, pp. 29-58
-
-
Andreasen, V.1
-
16
-
-
0342823548
-
Instability in an SIR-model with age-dependent susceptibility
-
O. Arino, D. Axelrod, M. Kimmel, and M. Langlais, eds., Wuerz Publishing, Winnipeg, MB, Canada
-
V. ANDREASEN, Instability in an SIR-model with age-dependent susceptibility, in Mathematical Population Dynamics, Vol. 1, O. Arino, D. Axelrod, M. Kimmel, and M. Langlais, eds., Wuerz Publishing, Winnipeg, MB, Canada, 1995, pp. 3-14.
-
(1995)
Mathematical Population Dynamics
, vol.1
, pp. 3-14
-
-
Andreasen, V.1
-
17
-
-
0031203954
-
The dynamics of cocirculating influenza strains conferring partial cross-immunity
-
V. ANDREASEN, J. LIN, AND S. A. LEVIN, The dynamics of cocirculating influenza strains conferring partial cross-immunity, J. Math. Biol., 35 (1997), pp. 825-842.
-
(1997)
J. Math. Biol.
, vol.35
, pp. 825-842
-
-
Andreasen, V.1
Lin, J.2
Levin, S.A.3
-
21
-
-
0018332001
-
The use of epidemic models
-
N. BECKER, The use of epidemic models, Biometrics, 35 (1978), pp. 295-305.
-
(1978)
Biometrics
, vol.35
, pp. 295-305
-
-
Becker, N.1
-
23
-
-
0003956990
-
-
American Public Health Association, Washington, DC
-
A. S. BENENSON, Control of Communicable Diseases in Man, 16th ed., American Public Health Association, Washington, DC, 1995.
-
(1995)
Control of Communicable Diseases in Man, 16th Ed.
-
-
Benenson, A.S.1
-
24
-
-
0001992090
-
Essai d'une nouvelle analyse de la mortalité causée par la petite vérole et des avantages de l'inoculation pour la prévenir
-
Académie Royale des Sciences, Paris
-
D. BERNOULLI, Essai d'une nouvelle analyse de la mortalité causée par la petite vérole et des avantages de l'inoculation pour la prévenir, in Mémoires de Mathématiques et de Physique, Académie Royale des Sciences, Paris, 1760, pp. 1-45.
-
(1760)
Mémoires de Mathématiques et de Physique
, pp. 1-45
-
-
Bernoulli, D.1
-
25
-
-
0016296076
-
Evidence for the persistence of infectious disease agents in isolated human populations
-
F. L. BLACK, W. J. HIERHOLZER, F. D. P. PINHEIRO, ET AL., Evidence for the persistence of infectious disease agents in isolated human populations, Am. J. Epidemiol., 100 (1974), pp. 230-250.
-
(1974)
Am. J. Epidemiol.
, vol.100
, pp. 230-250
-
-
Black, F.L.1
Hierholzer, W.J.2
Pinheiro, F.D.P.3
-
26
-
-
0024439599
-
Like with like preference and sexual mixing models
-
S. P. BLYTHE AND C. CASTILLO-CHAVEZ, Like with like preference and sexual mixing models, Math. Biosci., 96 (1989), pp. 221-238.
-
(1989)
Math. Biosci.
, vol.96
, pp. 221-238
-
-
Blythe, S.P.1
Castillo-Chavez, C.2
-
27
-
-
0027465252
-
Chaos and biological complexity in measles dynamics
-
B. M. BOLKER AND B. T. GRENFELL, Chaos and biological complexity in measles dynamics, Proc. Roy. Soc. London Ser. B, 251 (1993), pp. 75-81.
-
(1993)
Proc. Roy. Soc. London Ser. B
, vol.251
, pp. 75-81
-
-
Bolker, B.M.1
Grenfell, B.T.2
-
28
-
-
0024490396
-
A model of the spread of HIV infection and the demographic impact of AIDS
-
J. BONGAARTS, A model of the spread of HIV infection and the demographic impact of AIDS, Stat. Med., 8 (1989), pp. 103-120.
-
(1989)
Stat. Med.
, vol.8
, pp. 103-120
-
-
Bongaarts, J.1
-
29
-
-
0025041909
-
Models for the spread of universally fatal diseases
-
F. BRAUER, Models for the spread of universally fatal diseases, J. Math. Biol., 28 (1990), pp. 451-462.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 451-462
-
-
Brauer, F.1
-
30
-
-
0024572669
-
A competitive exclusion principle for pathogen virulence
-
H. J. BREMERMANN AND H. R. THIEME, A competitive exclusion principle for pathogen virulence, J. Math. Biol., 27 (1989), pp. 179-190.
-
(1989)
J. Math. Biol.
, vol.27
, pp. 179-190
-
-
Bremermann, H.J.1
Thieme, H.R.2
-
31
-
-
0003784587
-
-
Cambridge University Press, Cambridge, UK
-
M. BURNETT AND D. O. WHITE, Natural History of Infectious Disease, 4th ed., Cambridge University Press, Cambridge, UK, 1974.
-
(1974)
Natural History of Infectious Disease, 4th Ed.
-
-
Burnett, M.1
White, D.O.2
-
32
-
-
77957175569
-
A general solution of the problem of mixing of sub-populations and its application to risk-and age-structured models for the spread of AIDS
-
S. BUSENBERG AND C. CASTILLO-CHAVEZ, A general solution of the problem of mixing of sub-populations and its application to risk-and age-structured models for the spread of AIDS, IMA J. Math. Appl. Med. Biol., 8 (1991), pp. 1-29.
-
(1991)
IMA J. Math. Appl. Med. Biol.
, vol.8
, pp. 1-29
-
-
Busenberg, S.1
Castillo-Chavez, C.2
-
33
-
-
0009967980
-
Vertically transmitted diseases
-
Springer-Verlag, Berlin
-
S. BUSENBERG AND K. L. COOKE, Vertically Transmitted Diseases, Biomathematics 23, Springer-Verlag, Berlin, 1993.
-
(1993)
Biomathematics
, vol.23
-
-
Busenberg, S.1
Cooke, K.L.2
-
34
-
-
0000272544
-
Endemic thresholds and stability in a class of age-structured epidemics
-
S. N. BUSENBERG, K. L. COOKE, AND M. IANNELLI, Endemic thresholds and stability in a class of age-structured epidemics, SIAM J. Appl. Math., 48 (1988), pp. 1379-1395.
-
(1988)
SIAM J. Appl. Math.
, vol.48
, pp. 1379-1395
-
-
Busenberg, S.N.1
Cooke, K.L.2
Iannelli, M.3
-
36
-
-
0000195264
-
Global behavior of an age-structured epidemic model
-
S. N. BUSENBERG, M. IANNELLI, AND H. R. THIEME, Global behavior of an age-structured epidemic model, SIAM J. Math. Anal., 22 (1991), pp. 1065-1080.
-
(1991)
SIAM J. Math. Anal.
, vol.22
, pp. 1065-1080
-
-
Busenberg, S.N.1
Iannelli, M.2
Thieme, H.R.3
-
37
-
-
0025112636
-
Analysis of a disease transmission model in a population with varying size
-
S. N. BUSENBERG AND P. VAN DEN DRIESSCHE, Analysis of a disease transmission model in a population with varying size, J. Math. Biol., 28 (1990), pp. 257-270.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 257-270
-
-
Busenberg, S.N.1
Van Den Driessche, P.2
-
38
-
-
0003318955
-
Mathematical structures of epidemic systems
-
Springer-Verlag, Berlin
-
V. CAPASSO, Mathematical Structures of Epidemic Systems, Lecture Notes in Biomath. 97, Springer-Verlag, Berlin, 1993.
-
(1993)
Lecture Notes in Biomath.
, vol.97
-
-
Capasso, V.1
-
39
-
-
0013629821
-
Mathematical and statistical approaches to AIDS epidemiology
-
Springer-Verlag, Berlin
-
C. CASTILLO-CHAVEZ, ED., Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomath. 83, Springer-Verlag, Berlin, 1989.
-
(1989)
Lecture Notes in Biomath.
, vol.83
-
-
Castillo-Chavez, C.1
-
40
-
-
0024537829
-
Epidemiological models with age structure, proportionate mixing, and cross-immunity
-
C. CASTILLO-CHAVEZ, H. W. HETHCOTE, V. ANDREASEN, S. A. LEVIN, AND W. M. LIU, Epidemiological models with age structure, proportionate mixing, and cross-immunity, J. Math. Biol., 27 (1989), pp. 233-258.
-
(1989)
J. Math. Biol.
, vol.27
, pp. 233-258
-
-
Castillo-Chavez, C.1
Hethcote, H.W.2
Andreasen, V.3
Levin, S.A.4
Liu, W.M.5
-
41
-
-
0030128038
-
Competitive exclusion in gonorrhea models and other sexually-transmitted diseases
-
C. CASTILLO-CHAVEZ, W. HUANG, AND J. LI, Competitive exclusion in gonorrhea models and other sexually-transmitted diseases, SIAM J. Appl. Math., 56 (1996), pp. 494-508.
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 494-508
-
-
Castillo-Chavez, C.1
Huang, W.2
Li, J.3
-
42
-
-
0033356422
-
Competitive exclusion and multiple strains in an SIS STD model
-
C. CASTILLO-CHAVEZ, W. HUANG, AND J. LI, Competitive exclusion and multiple strains in an SIS STD model, SIAM J. Appl. Math., 59 (1999), pp. 1790-1811.
-
(1999)
SIAM J. Appl. Math.
, vol.59
, pp. 1790-1811
-
-
Castillo-Chavez, C.1
Huang, W.2
Li, J.3
-
43
-
-
2042483758
-
Summary of notifiable diseases, United States, 1998
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Summary of notifiable diseases, United States, 1998, MMWR, 47 (1999), pp. 78-83.
-
(1999)
MMWR
, vol.47
, pp. 78-83
-
-
-
44
-
-
0033515256
-
Ten great public health achievements -United States, 1900-1999
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Ten great public health achievements -United States, 1900-1999, MMWR, 48 (1999), pp. 241-248.
-
(1999)
MMWR
, vol.48
, pp. 241-248
-
-
-
45
-
-
0033612042
-
Progress toward global poliomyelitis eradication, 1997-1998
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Progress toward global poliomyelitis eradication, 1997-1998, MMWR, 48 (1990), pp. 416-421.
-
(1990)
MMWR
, vol.48
, pp. 416-421
-
-
-
46
-
-
0033538366
-
Rubella outbreak - Westchester County, New York, 1997-1998
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Rubella outbreak - Westchester County, New York, 1997-1998, MMWR, 48 (1999), pp. 560-563.
-
(1999)
MMWR
, vol.48
, pp. 560-563
-
-
-
47
-
-
0033520163
-
Epidemiology of measles - United States, 1998
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Epidemiology of measles - United States, 1998, MMWR, 48 (1999), pp. 749-753.
-
(1999)
MMWR
, vol.48
, pp. 749-753
-
-
-
48
-
-
0033579234
-
Global measles control and regional elimination, 1998-99
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Global measles control and regional elimination, 1998-99, MMWR, 48 (1999), pp. 1124-1130.
-
(1999)
MMWR
, vol.48
, pp. 1124-1130
-
-
-
49
-
-
0002669765
-
Update: Raccoon rabies epizootic - United States and Canada, 1999
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Update: Raccoon rabies epizootic - United States and Canada, 1999, MMWR, 49 (2000), pp. 31-35.
-
(2000)
MMWR
, vol.49
, pp. 31-35
-
-
-
50
-
-
0034695265
-
Recommended childhood immunization schedule - United States, 2000
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Recommended childhood immunization schedule - United States, 2000, MMWR, 49 (2000), pp. 35-47.
-
(2000)
MMWR
, vol.49
, pp. 35-47
-
-
-
51
-
-
0034723129
-
Update: Influenza activity - United States, 1999-2000 season
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Update: Influenza activity - United States, 1999-2000 season, MMWR, 49 (2000), pp. 53-57.
-
(2000)
MMWR
, vol.49
, pp. 53-57
-
-
-
52
-
-
0034646523
-
Measles outbreak - Netherlands, april 1999-january 2000
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, Measles outbreak - Netherlands, April 1999-January 2000, MMWR, 49 (2000), pp. 299-303.
-
(2000)
MMWR
, vol.49
, pp. 299-303
-
-
-
53
-
-
0032526441
-
Existence and uniqueness of endemic states for age-structured S-I-R epidemic model
-
Y. CHA, M. IANNELLI, AND F. A. MILNER, Existence and uniqueness of endemic states for age-structured S-I-R epidemic model. Math. Biosci., 150 (1998), pp. 177-190.
-
(1998)
Math. Biosci.
, vol.150
, pp. 177-190
-
-
Cha, Y.1
Iannelli, M.2
Milner, F.A.3
-
54
-
-
0001961847
-
Incorporating spatial components into models of epidemic spread
-
D. Mollison, ed., Cambridge University Press, Cambridge, UK
-
A. D. CLIFF, Incorporating spatial components into models of epidemic spread, in Epidemic Models: Their Structure and Relation to Data, D. Mollison, ed., Cambridge University Press, Cambridge, UK, 1996, pp. 119-149.
-
(1996)
Epidemic Models: Their Structure and Relation to Data
, pp. 119-149
-
-
Cliff, A.D.1
-
57
-
-
0002091257
-
How does transmission depend on population size?
-
D. Mollison, ed., Cambridge University Press, Cambridge, UK
-
M. C. M. DE JONG, O. DIEKMANN, AND J. A. P. HEESTERBEEK, How does transmission depend on population size?, in Human Infectious Diseases, Epidemic Models, D. Mollison, ed., Cambridge University Press, Cambridge, UK, 1995, pp. 84-94.
-
(1995)
Human Infectious Diseases, Epidemic Models
, pp. 84-94
-
-
De Jong, M.C.M.1
Diekmann, O.2
Heesterbeek, J.A.P.3
-
60
-
-
0001369140
-
Epidemics and rumours: A survey
-
K. DIETZ, Epidemics and rumours: A survey, J. Roy. Statist. Soc. Ser. A, 130 (1967), pp. 505-528.
-
(1967)
J. Roy. Statist. Soc. Ser. A
, vol.130
, pp. 505-528
-
-
Dietz, K.1
-
61
-
-
0003066251
-
Transmission and control of arbovirus diseases
-
K. L. Cooke, ed., SIAM, Philadelphia
-
K. DIETZ, Transmission and control of arbovirus diseases, in Epidemiology, K. L. Cooke, ed., SIAM, Philadelphia, 1975, pp. 104-121.
-
(1975)
Epidemiology
, pp. 104-121
-
-
Dietz, K.1
-
62
-
-
0002454064
-
The incidence of infectious diseases under the influence of seasonal fluctuations, in mathematical models in medicine
-
J. Berger, W. Buhler, R. Repges, and P. Tautu, eds., Springer-Verlag, Berlin
-
K. DIETZ, The incidence of infectious diseases under the influence of seasonal fluctuations, in Mathematical Models in Medicine, J. Berger, W. Buhler, R. Repges, and P. Tautu, eds., Lecture Notes in Biomath. 11, Springer-Verlag, Berlin, 1976, pp. 1-15.
-
(1976)
Lecture Notes in Biomath.
, vol.11
, pp. 1-15
-
-
Dietz, K.1
-
63
-
-
0018581270
-
Epidemiologic interference of virus populations
-
K. DIETZ, Epidemiologic interference of virus populations, J. Math. Biol., 8 (1979), pp. 291-300.
-
(1979)
J. Math. Biol.
, vol.8
, pp. 291-300
-
-
Dietz, K.1
-
64
-
-
0002826333
-
The evaluation of rubella vaccination strategies
-
R. W. Hiorns and D. Cooke, eds., Academic Press, London
-
K. DIETZ, The evaluation of rubella vaccination strategies, in The Mathematical Theory of the Dynamics of Populations, Vol. 2, R. W. Hiorns and D. Cooke, eds., Academic Press, London, 1981, pp. 81-97.
-
(1981)
The Mathematical Theory of the Dynamics of Populations
, vol.2
, pp. 81-97
-
-
Dietz, K.1
-
65
-
-
0023932760
-
Density dependence in parasite transmission dynamics
-
K. DIETZ, Density dependence in parasite transmission dynamics, Parasit. Today, 4 (1988), pp. 91-97.
-
(1988)
Parasit. Today
, vol.4
, pp. 91-97
-
-
Dietz, K.1
-
66
-
-
0011053510
-
The first epidemic model: A historical note on P. D. En'ko
-
K. DIETZ, The first epidemic model: A historical note on P. D. En'ko, Austral. J. Statist., 30A (1988), pp. 56-65.
-
(1988)
Austral. J. Statist.
, vol.30 A
, pp. 56-65
-
-
Dietz, K.1
-
67
-
-
0002836854
-
Mathematical models for infectious disease statistics
-
A. C. Atkinson and S. E. Feinberg, eds., Springer-Verlag, New York
-
K. DIETZ AND D. SCHENZLE, Mathematical models for infectious disease statistics, in A Celebration of Statistics, A. C. Atkinson and S. E. Feinberg, eds., Springer-Verlag, New York, 1985, pp. 167-204.
-
(1985)
A Celebration of Statistics
, pp. 167-204
-
-
Dietz, K.1
Schenzle, D.2
-
68
-
-
0021823575
-
Proportionate mixing models for age-dependent infection transmission
-
K. DIETZ AND D. SCHENZLE, Proportionate mixing models for age-dependent infection transmission, J. Math. Biol., 22 (1985), pp. 117-120.
-
(1985)
J. Math. Biol.
, vol.22
, pp. 117-120
-
-
Dietz, K.1
Schenzle, D.2
-
69
-
-
0033314540
-
Stochastic spatial models
-
R. DURRETT, Stochastic spatial models, SIAM Rev., 41 (1999), pp. 677-718.
-
(1999)
SIAM Rev.
, vol.41
, pp. 677-718
-
-
Durrett, R.1
-
70
-
-
0025632808
-
A simulation model of the population dynamics and evolution of myomatosis
-
G. DWYER, S. A. LEVIN, AND L. BUTTEL, A simulation model of the population dynamics and evolution of myomatosis, Ecological Monographs, 60 (1990), pp. 423-447.
-
(1990)
Ecological Monographs
, vol.60
, pp. 423-447
-
-
Dwyer, G.1
Levin, S.A.2
Buttel, L.3
-
71
-
-
0034723248
-
A simple model for complex dynamical transitions in epidemics
-
D. J. D. EARN, P. ROHANI, B. M. BOLKER, AND B. T. GRENFELL, A simple model for complex dynamical transitions in epidemics, Science, 287 (2000), pp. 667-670.
-
(2000)
Science
, vol.287
, pp. 667-670
-
-
Earn, D.J.D.1
Rohani, P.2
Bolker, B.M.3
Grenfell, B.T.4
-
72
-
-
38249034482
-
Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models
-
M. EL-DOMA, Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models, Nonlinear Anal., 11 (1987), pp. 913-937.
-
(1987)
Nonlinear Anal.
, vol.11
, pp. 913-937
-
-
El-Doma, M.1
-
73
-
-
0032526469
-
Analysis of a dengue disease transmission model
-
L. ESTEVA AND C. VARGAS, Analysis of a dengue disease transmission model, Math. Biosci., 150 (1998), pp. 131-151.
-
(1998)
Math. Biosci.
, vol.150
, pp. 131-151
-
-
Esteva, L.1
Vargas, C.2
-
74
-
-
0033089022
-
A model for dengue disease with variable human population
-
L. ESTEVA AND C. VARGAS, A model for dengue disease with variable human population, J. Math. Biol., 38 (1999), pp. 220-240.
-
(1999)
J. Math. Biol.
, vol.38
, pp. 220-240
-
-
Esteva, L.1
Vargas, C.2
-
76
-
-
0031137301
-
Competitive exclusion in a vector-host model for the dengue fever
-
Z. FENG AND J. X. VELASCO-HERNANDEZ, Competitive exclusion in a vector-host model for the dengue fever, J. Math. Biol., 35 (1997), pp. 523-544.
-
(1997)
J. Math. Biol.
, vol.35
, pp. 523-544
-
-
Feng, Z.1
Velasco-Hernandez, J.X.2
-
77
-
-
0003974187
-
-
World Health Organization, Geneva
-
F. FENNER, D. A. HENDERSON, I. ARITA, Z. JEZEK, AND I. D. LADNYI, Smallpox and its Eradication, World Health Organization, Geneva, 1988.
-
(1988)
Smallpox and Its Eradication
-
-
Fenner, F.1
Henderson, D.A.2
Arita, I.3
Jezek, Z.4
Ladnyi, I.D.5
-
78
-
-
0342388716
-
Mass vaccination to control chickenpox: The influence of zoster
-
N. M. FERGUSON, R. M. ANDERSON, AND G. P. GARNETT, Mass vaccination to control chickenpox: The influence of zoster, Rev. Med. Virology, 6 (1996), pp. 151-161.
-
(1996)
Rev. Med. Virology
, vol.6
, pp. 151-161
-
-
Ferguson, N.M.1
Anderson, R.M.2
Garnett, G.P.3
-
79
-
-
0030561585
-
Dynamical complexity in age-structured models of the transmission of measles virus: Epidemiological implications of high levels of vaccine uptake
-
N. M. FERGUSON, D. J. NOKES, AND R. M. ANDERSON, Dynamical complexity in age-structured models of the transmission of measles virus: Epidemiological implications of high levels of vaccine uptake, Math. Biosci., 138 (1996), pp. 101-130.
-
(1996)
Math. Biosci.
, vol.138
, pp. 101-130
-
-
Ferguson, N.M.1
Nokes, D.J.2
Anderson, R.M.3
-
81
-
-
0345575997
-
-
Springer-Verlag, Berlin
-
J. P. GABRIEL, C. LEFEVER, AND P. PICARD, EDS., Stochastic Processes in Epidemic Theory, Springer-Verlag, Berlin, 1990.
-
(1990)
Stochastic Processes in Epidemic Theory
-
-
Gabriel, J.P.1
Lefever, C.2
Picard, P.3
-
83
-
-
0026444580
-
Disease transmission models with density-dependent demographics
-
L. Q. GAO AND H. W. HETHCOTE, Disease transmission models with density-dependent demographics, J. Math. Biol., 30 (1992), pp. 717-731.
-
(1992)
J. Math. Biol.
, vol.30
, pp. 717-731
-
-
Gao, L.Q.1
Hethcote, H.W.2
-
84
-
-
0029012360
-
Four SEI endemic models with periodicity and separatrices
-
L. GAO, J. MENA-LORCA, AND H. W. HETHCOTE, Four SEI endemic models with periodicity and separatrices, Math. Biosci., 128 (1995), pp. 157-184.
-
(1995)
Math. Biosci.
, vol.128
, pp. 157-184
-
-
Gao, L.1
Mena-Lorca, J.2
Hethcote, H.W.3
-
85
-
-
0002104659
-
Variations on a theme of SEI endemic models
-
M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, and H. Thieme, eds., World Scientific Publishing, Singapore
-
L. GAO, J. MENA-LORCA, AND H. W. HETHCOTE, Variations on a theme of SEI endemic models, in Differential Equations and Applications to Biology and to Industry, M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, and H. Thieme, eds., World Scientific Publishing, Singapore, 1996, pp. 191-207.
-
(1996)
Differential Equations and Applications to Biology and to Industry
, pp. 191-207
-
-
Gao, L.1
Mena-Lorca, J.2
Hethcote, H.W.3
-
86
-
-
0024028971
-
Analytical threshold and stability results on age-structured epidemic models with vaccination
-
D. GREENHALGH, Analytical threshold and stability results on age-structured epidemic models with vaccination, Theoret. Population Biol., 33 (1988), pp. 266-290.
-
(1988)
Theoret. Population Biol.
, vol.33
, pp. 266-290
-
-
Greenhalgh, D.1
-
87
-
-
0025160594
-
Vaccination campaigns for common childhood diseases
-
D. GREENHALGH, Vaccination campaigns for common childhood diseases, Math. Biosci., 100 (1990), pp. 201-240.
-
(1990)
Math. Biosci.
, vol.100
, pp. 201-240
-
-
Greenhalgh, D.1
-
88
-
-
0027008214
-
Some threshold and stability results for epidemic models with a density dependent death rate
-
D. GREENHALGH AND R. DAS, Some threshold and stability results for epidemic models with a density dependent death rate, Theoret. Population Biol., 42 (1992), pp. 130-151.
-
(1992)
Theoret. Population Biol.
, vol.42
, pp. 130-151
-
-
Greenhalgh, D.1
Das, R.2
-
89
-
-
0024815472
-
Pertussis in England and Wales: An investigation of transmission dynamics and control by mass vaccination
-
B. T. GRENFELL AND R. M. ANDERSON, Pertussis in England and Wales: An investigation of transmission dynamics and control by mass vaccination, Proc. Roy. Soc. London Ser. B, 236 (1989), pp. 213-252.
-
(1989)
Proc. Roy. Soc. London Ser. B
, vol.236
, pp. 213-252
-
-
Grenfell, B.T.1
Anderson, R.M.2
-
90
-
-
0003848433
-
-
Cambridge University Press, Cambridge, UK
-
B. T. GRENFELL AND A. P. DOBSON, EDS., Ecology of Infectious Diseases in Natural Populations, Cambridge University Press, Cambridge, UK, 1995.
-
(1995)
Ecology of Infectious Diseases in Natural Populations
-
-
Grenfell, B.T.1
Dobson, A.P.2
-
91
-
-
84867241615
-
On a nonlinear integral equation modelling an epidemic in an age-structured population
-
G. GRIPENBERG, On a nonlinear integral equation modelling an epidemic in an age-structured population, J. Reine Angew. Math., 341 (1983), pp. 147-158.
-
(1983)
J. Reine Angew. Math.
, vol.341
, pp. 147-158
-
-
Gripenberg, G.1
-
93
-
-
0028229451
-
Theoretical epidemiologic and morbidity effects of routine varicella immunization of preschool children in the United States
-
M. E. HALLORAN, S. L. COCHI, T. A. LIEU, M. WHARTON, AND L. FEHRS, Theoretical epidemiologic and morbidity effects of routine varicella immunization of preschool children in the United States, Am. J. Epidemiol., 140 (1994), pp. 81-104.
-
(1994)
Am. J. Epidemiol.
, vol.140
, pp. 81-104
-
-
Halloran, M.E.1
Cochi, S.L.2
Lieu, T.A.3
Wharton, M.4
Fehrs, L.5
-
94
-
-
0028278160
-
Epidemiological effects of vaccines with complex direct effects in an age-structured population
-
M. E. HALLORAN, L. WATELET, AND C. J. STRUCHINER, Epidemiological effects of vaccines with complex direct effects in an age-structured population, Math. Biosci., 121 (1994), pp. 193-225.
-
(1994)
Math. Biosci.
, vol.121
, pp. 193-225
-
-
Halloran, M.E.1
Watelet, L.2
Struchiner, C.J.3
-
95
-
-
0001622139
-
Epidemic disease in England
-
W. H. HAMER, Epidemic disease in England, Lancet, 1 (1906), pp. 733-739.
-
(1906)
Lancet
, vol.1
, pp. 733-739
-
-
Hamer, W.H.1
-
96
-
-
0017228276
-
Qualitative analyses of communicable disease models
-
H. W. HETHCOTE, Qualitative analyses of communicable disease models, Math. Biosci., 28 (1976), pp. 335-356.
-
(1976)
Math. Biosci.
, vol.28
, pp. 335-356
-
-
Hethcote, H.W.1
-
97
-
-
0018247773
-
An immunization model for a heterogeneous population
-
H. W. HETHCOTE, An immunization model for a heterogeneous population, Theoret. Population Biol., 14 (1978), pp. 338-349.
-
(1978)
Theoret. Population Biol.
, vol.14
, pp. 338-349
-
-
Hethcote, H.W.1
-
98
-
-
0020699951
-
Measles and rubella in the United States
-
H. W. HETHCOTE, Measles and rubella in the United States, Am. J. Epidemiol., 117 (1983), pp. 2-13.
-
(1983)
Am. J. Epidemiol.
, vol.117
, pp. 2-13
-
-
Hethcote, H.W.1
-
99
-
-
0023887538
-
Optimal ages of vaccination for measles
-
H. W. HETHCOTE, Optimal ages of vaccination for measles, Math. Biosci., 89 (1988), pp. 29-52.
-
(1988)
Math. Biosci.
, vol.89
, pp. 29-52
-
-
Hethcote, H.W.1
-
100
-
-
0000824569
-
Three basic epidemiological models
-
L. Gross, T. G. Hallam, and S. A. Levin, eds., Springer-Verlag, Berlin
-
H. W. HETHCOTE, Three basic epidemiological models, in Applied Mathematical Ecology, L. Gross, T. G. Hallam, and S. A. Levin, eds., Springer-Verlag, Berlin, 1989, pp. 119-144.
-
(1989)
Applied Mathematical Ecology
, pp. 119-144
-
-
Hethcote, H.W.1
-
101
-
-
0040436404
-
Rubella
-
L. Gross, T. G. Hallam, and S. A. Levin, eds., Springer-Verlag, Berlin
-
H. W. HETHCOTE, Rubella, in Applied Mathematical Ecology, L. Gross, T. G. Hallam, and S. A. Levin, eds., Springer-Verlag, Berlin, 1989, pp. 212-234.
-
(1989)
Applied Mathematical Ecology
, pp. 212-234
-
-
Hethcote, H.W.1
-
102
-
-
0000751578
-
A thousand and one epidemic models, in frontiers in theoretical biology
-
S. A. Levin, ed., Springer-Verlag, Berlin
-
H. W. HETHCOTE, A thousand and one epidemic models, in Frontiers in Theoretical Biology, S. A. Levin, ed., Lecture Notes in Biomath. 100, Springer-Verlag, Berlin, 1994, pp. 504-515.
-
(1994)
Lecture Notes in Biomath.
, vol.100
, pp. 504-515
-
-
Hethcote, H.W.1
-
103
-
-
0002530264
-
Modeling heterogeneous mixing in infectious disease dynamics
-
V. Isham and G. F. H. Medley, eds., Cambridge University Press, Cambridge, UK
-
H. W. HETHCOTE, Modeling heterogeneous mixing in infectious disease dynamics, in Models for Infectious Human Diseases, V. Isham and G. F. H. Medley, eds., Cambridge University Press, Cambridge, UK, 1996, pp. 215-238.
-
(1996)
Models for Infectious Human Diseases
, pp. 215-238
-
-
Hethcote, H.W.1
-
104
-
-
0343258268
-
Modeling AIDS prevention programs in a population of homosexual men
-
E. H. Kaplan and M. L. Brandeau, eds., Raven Press, New York
-
H. W. HETHCOTE, Modeling AIDS prevention programs in a population of homosexual men, in Modeling the AIDS Epidemic: Planning, Policy and Prediction, E. H. Kaplan and M. L. Brandeau, eds., Raven Press, New York, 1994, pp. 91-107.
-
(1994)
Modeling the AIDS Epidemic: Planning, Policy and Prediction
, pp. 91-107
-
-
Hethcote, H.W.1
-
105
-
-
0030867201
-
An age-structured model for pertussis transmission
-
H. W. HETHCOTE, An age-structured model for pertussis transmission, Math. Biosci., 145 (1997), pp. 89-136.
-
(1997)
Math. Biosci.
, vol.145
, pp. 89-136
-
-
Hethcote, H.W.1
-
106
-
-
0032907094
-
Simulations of pertussis epidemiology in the United States: Effects of adult booster vaccinations
-
H. W. HETHCOTE, Simulations of pertussis epidemiology in the United States: Effects of adult booster vaccinations, Math. Biosci., 158 (1999), pp. 47-73.
-
(1999)
Math. Biosci.
, vol.158
, pp. 47-73
-
-
Hethcote, H.W.1
-
107
-
-
0000236256
-
Periodicity in epidemiological models
-
L. Gross, T. G. Hallam, and S. A. Levin, eds., Springer-Verlag, Berlin
-
H. W. HETHCOTE AND S. A. LEVIN. Periodicity in epidemiological models, in Applied Mathematical Ecology, L. Gross, T. G. Hallam, and S. A. Levin, eds., Springer-Verlag, Berlin, 1989, pp. 193-211.
-
(1989)
Applied Mathematical Ecology
, pp. 193-211
-
-
Hethcote, H.W.1
Levin, S.A.2
-
108
-
-
0033486294
-
Hopf bifurcation in models for pertussis epidemiology
-
H. W. HETHCOTE, Y. LI, AND Z. J. JING. Hopf bifurcation in models for pertussis epidemiology, Math. Comput. Modelling, 30 (1999), pp. 29-45.
-
(1999)
Math. Comput. Modelling
, vol.30
, pp. 29-45
-
-
Hethcote, H.W.1
Li, Y.2
Jing, Z.J.3
-
109
-
-
0002449311
-
Periodicity and stability in epidemic models: A survey
-
S. N. Busenberg and K. L. Cooke, eds., Academic Press, New York
-
H. W. HETHCOTE, H. W. STECH, AND P. VAN DEN DRIESSCHE, Periodicity and stability in epidemic models: A survey, in Differential Equations and Applications in Ecology, Epidemics and Population Problems, S. N. Busenberg and K. L. Cooke, eds., Academic Press, New York, 1981, pp. 65-82.
-
(1981)
Differential Equations and Applications in Ecology, Epidemics and Population Problems
, pp. 65-82
-
-
Hethcote, H.W.1
Stech, H.W.2
Van Den Driessche, P.3
-
110
-
-
0023177943
-
Epidemiological models with heterogeneous populations: Proportionate mixing, parameter estimation and immunization programs
-
H. W. HETHCOTE AND J. W. VAN ARK, Epidemiological models with heterogeneous populations: Proportionate mixing, parameter estimation and immunization programs, Math. Biosci., 84 (1987), pp. 85-118.
-
(1987)
Math. Biosci.
, vol.84
, pp. 85-118
-
-
Hethcote, H.W.1
Van Ark, J.W.2
-
111
-
-
0002915678
-
Modeling HIV transmission and AIDS in the United States
-
Springer-Verlag, Berlin
-
H. W. HETHCOTE AND J. W. VAN ARK, Modeling HIV Transmission and AIDS in the United States, Lecture Notes in Biomath. 95, Springer-Verlag, Berlin, 1992.
-
(1992)
Lecture Notes in Biomath.
, vol.95
-
-
Hethcote, H.W.1
Van Ark, J.W.2
-
112
-
-
0025985745
-
Some epidemiological models with nonlinear incidence
-
H. W. HETHCOTE AND P. VAN DEN DRIESSCHE, Some epidemiological models with nonlinear incidence, J. Math. Biol., 29 (1991), pp. 271-287.
-
(1991)
J. Math. Biol.
, vol.29
, pp. 271-287
-
-
Hethcote, H.W.1
Van Den Driessche, P.2
-
113
-
-
0003020529
-
Gonorrhea transmission dynamics and control
-
Springer-Verlag, Berlin
-
H. W. HETHCOTE AND J. A. YORKE, Gonorrhea Transmission Dynamics and Control, Lecture Notes in Biomath. 56, Springer-Verlag, Berlin, 1984.
-
(1984)
Lecture Notes in Biomath.
, vol.56
-
-
Hethcote, H.W.1
Yorke, J.A.2
-
115
-
-
0000723140
-
Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission
-
W. HUANG, K. L. COOKE, AND C. CASTILLO-CHAVEZ, Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission, SIAM J. Appl. Math., 52 (1992), pp. 835-854.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, pp. 835-854
-
-
Huang, W.1
Cooke, K.L.2
Castillo-Chavez, C.3
-
116
-
-
0028272238
-
Paralytic poliomyelitis: Seasoned strategies, disappearing disease
-
H. F. HULL, N. A. WARD, B. F. HULL, J. B. MILSTEIN, AND C. DE QUATROS, Paralytic poliomyelitis: Seasoned strategies, disappearing disease, Lancet, 343 (1994), pp. 1331-1337.
-
(1994)
Lancet
, vol.343
, pp. 1331-1337
-
-
Hull, H.F.1
Ward, N.A.2
Hull, B.F.3
Milstein, J.B.4
De Quatros, C.5
-
117
-
-
0030070393
-
Measles outbreaks in the United States, 1987 through 1990
-
S. S. HUTCHINS, L. E. MARKOWITZ, W. L. ATKINSON, E. SWINT, AND S. HADLER, Measles outbreaks in the United States, 1987 through 1990, Pediatr. Infect. Dis. J., 15 (1996), pp. 31-38.
-
(1996)
Pediatr. Infect. Dis. J.
, vol.15
, pp. 31-38
-
-
Hutchins, S.S.1
Markowitz, L.E.2
Atkinson, W.L.3
Swint, E.4
Hadler, S.5
-
118
-
-
0000323491
-
Using mathematical models to understand the AIDS epidemic
-
J. M. HYMAN AND E. A. STANLEY, Using mathematical models to understand the AIDS epidemic, Math. Biosci., 90 (1988), pp. 415-473.
-
(1988)
Math. Biosci.
, vol.90
, pp. 415-473
-
-
Hyman, J.M.1
Stanley, E.A.2
-
119
-
-
0000121386
-
The effect of social mixing patterns on the spread of AIDS, in mathematical approaches to problems in resource management and epidemiology
-
C. Castillo-Chavez, S. A. Levin, and C. Shoemaker, eds., Springer-Verlag, New York
-
J. M. HYMAN AND E. A. STANLEY. The effect of social mixing patterns on the spread of AIDS, in Mathematical Approaches to Problems in Resource Management and Epidemiology, C. Castillo-Chavez, S. A. Levin, and C. Shoemaker, eds., Lecture Notes in Biomath. 81, Springer-Verlag, New York, 1989.
-
(1989)
Lecture Notes in Biomath.
, vol.81
-
-
Hyman, J.M.1
Stanley, E.A.2
-
120
-
-
0028289097
-
Threshold conditions for the spread of HIV infection in age-structured populations of homosexual men
-
J. M. HYMAN, J. LI, AND E. A. STANLEY, Threshold conditions for the spread of HIV infection in age-structured populations of homosexual men, J. Theoret. Biol., 166 (1994), pp. 9-31.
-
(1994)
J. Theoret. Biol.
, vol.166
, pp. 9-31
-
-
Hyman, J.M.1
Li, J.2
Stanley, E.A.3
-
121
-
-
0033073528
-
The differential infectivity and staged progression models for the transmission of HIV
-
J. M. HYMAN, J. LI, AND E. A. STANLEY, The differential infectivity and staged progression models for the transmission of HIV, Math. Biosci., 155 (1999), pp. 77-109.
-
(1999)
Math. Biosci.
, vol.155
, pp. 77-109
-
-
Hyman, J.M.1
Li, J.2
Stanley, E.A.3
-
122
-
-
0033845428
-
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations
-
J. M. HYMAN AND J. LI, An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations, Math. Biosci., 167 (2000), pp. 65-86.
-
(2000)
Math. Biosci.
, vol.167
, pp. 65-86
-
-
Hyman, J.M.1
Li, J.2
-
123
-
-
0003295257
-
Mathematical theory of age-structured population dynamics
-
Giardini Editori, Pisa, Italy
-
M. IANNELLI, Mathematical Theory of Age-Structured Population Dynamics, C.N.R. Applied Mathematics Monograph 7, Giardini Editori, Pisa, Italy, 1994.
-
(1994)
C.N.R. Applied Mathematics Monograph
, vol.7
-
-
Iannelli, M.1
-
124
-
-
0000942360
-
Analytic and numerical results for the age-structured S-I-S model with mixed inter-intracohort transmission
-
M. IANNELLI, F. A. MILNER, AND A. PUGLIESE, Analytic and numerical results for the age-structured S-I-S model with mixed inter-intracohort transmission, SIAM J. Math. Anal., 23 (1992), pp. 662-688.
-
(1992)
SIAM J. Math. Anal.
, vol.23
, pp. 662-688
-
-
Iannelli, M.1
Milner, F.A.2
Pugliese, A.3
-
125
-
-
0025118998
-
Threshold and stability results for an age-structured epidemic model
-
H. INABA, Threshold and stability results for an age-structured epidemic model, J. Math. Biol., 28 (1990), pp. 411-434.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 411-434
-
-
Inaba, H.1
-
126
-
-
0002292350
-
Mathematical modeling of the transmission dynamics of HIV infection and AIDS: A review
-
V. ISHAM, Mathematical modeling of the transmission dynamics of HIV infection and AIDS: A review, J. Roy. Statist. Soc. Ser. A, 151 (1988), pp. 5-31.
-
(1988)
J. Roy. Statist. Soc. Ser. A
, vol.151
, pp. 5-31
-
-
Isham, V.1
-
127
-
-
0004029338
-
-
Cambridge University Press, Cambridge, UK
-
V. ISHAM AND G. MEDLEY, EDS., Models for Infectious Human Diseases, Cambridge University Press, Cambridge, UK, 1996.
-
(1996)
Models for Infectious Human Diseases
-
-
Isham, V.1
Medley, G.2
-
128
-
-
0027305851
-
The stochastic SI model with recruitment and deaths I: Comparison with the closed SIS model
-
J. A. JACQUEZ AND C. P. SIMON, The stochastic SI model with recruitment and deaths I: Comparison with the closed SIS model, Math. Biosci., 117 (1993), pp. 77-125.
-
(1993)
Math. Biosci.
, vol.117
, pp. 77-125
-
-
Jacquez, J.A.1
Simon, C.P.2
-
129
-
-
0000145168
-
The reproduction number in deterministic models of contagious diseases
-
J. A. JACQUEZ, C. P. SIMON, AND J. S. KOOPMAN, The reproduction number in deterministic models of contagious diseases, Curr. Topics in Theoret. Biol., 2 (1991), pp. 159-209.
-
(1991)
Curr. Topics in Theoret. Biol.
, vol.2
, pp. 159-209
-
-
Jacquez, J.A.1
Simon, C.P.2
Koopman, J.S.3
-
130
-
-
0028170791
-
Role of the primary infection in epidemics of HIV infection in gay cohorts
-
J. A. JACQUEZ, J. S. KOOPMAN, C. P. SIMON, AND I. M. LONGINI, Role of the primary infection in epidemics of HIV infection in gay cohorts, J. AIDS, 7 (1994), pp. 1169-1184.
-
(1994)
J. AIDS
, vol.7
, pp. 1169-1184
-
-
Jacquez, J.A.1
Koopman, J.S.2
Simon, C.P.3
Longini, I.M.4
-
131
-
-
0000337775
-
0's for subgroups in heterogeneous SIS models
-
D. Mollison, ed., Cambridge University Press, Cambridge, UK
-
0's for subgroups in heterogeneous SIS models, in Epidemic Models: Their Structure and Relation to Data, D. Mollison, ed., Cambridge University Press, Cambridge, UK, 1996, pp. 279-301.
-
(1996)
Epidemic Models: Their Structure and Relation to Data
, pp. 279-301
-
-
Jacquez, J.A.1
Simon, C.P.2
Koopman, J.S.3
-
132
-
-
0024205659
-
Modeling and analyzing HIV transmission: The effect of contact patterns
-
J. A. JACQUEZ, C. P. SIMON, J. S. KOOPMAN, L. SATTENSPIEL, AND T. PERRY, Modeling and analyzing HIV transmission: The effect of contact patterns, Math. Biosci., 92 (1988), pp. 119-199.
-
(1988)
Math. Biosci.
, vol.92
, pp. 119-199
-
-
Jacquez, J.A.1
Simon, C.P.2
Koopman, J.S.3
Sattenspiel, L.4
Perry, T.5
-
135
-
-
0021418503
-
Evaluation of age-specific vaccination strategies
-
W. KATZMANN AND K. DIETZ, Evaluation of age-specific vaccination strategies, Theoret. Population Biol., 25 (1984), pp. 125-137.
-
(1984)
Theoret. Population Biol.
, vol.25
, pp. 125-137
-
-
Katzmann, W.1
Dietz, K.2
-
136
-
-
0000998185
-
Contributions to the mathematical theory of epidemics, part 1
-
W. O. KERMACK AND A. G. MCKENDRICK, Contributions to the mathematical theory of epidemics, part 1, Proc. Roy. Soc. London Ser. A, 115 (1927), pp. 700-721.
-
(1927)
Proc. Roy. Soc. London Ser. A
, vol.115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
138
-
-
0032838997
-
Structured models for heterosexual disease transmission
-
C. M. KRIBS-ZALETA, Structured models for heterosexual disease transmission, Math. Biosci., 160 (1999), pp. 83-108.
-
(1999)
Math. Biosci.
, vol.160
, pp. 83-108
-
-
Kribs-Zaleta, C.M.1
-
139
-
-
0032783870
-
Core recruitment effects in SIS models with constant total populations
-
C. M. KRIBS-ZALETA, Core recruitment effects in SIS models with constant total populations, Math. Biosci., 160 (1999), pp. 109-158.
-
(1999)
Math. Biosci.
, vol.160
, pp. 109-158
-
-
Kribs-Zaleta, C.M.1
-
140
-
-
0017226769
-
A deterministic model for gonorrhea in a nonhomogeneous population
-
A. LAJMANOVICH AND J. A. YORKE, A deterministic model for gonorrhea in a nonhomogeneous population, Math. Biosci., 28 (1976), pp. 221-236.
-
(1976)
Math. Biosci.
, vol.28
, pp. 221-236
-
-
Lajmanovich, A.1
Yorke, J.A.2
-
142
-
-
0002375351
-
The emergence of new diseases
-
R. LEVINS, T. AWERBUCH, U. BRINKMAN, I. ECKARDT, P. EPSTEIN, N. MAKHOUL, C. A. DE POSSAS, C. PUCCIA, A. SPIELMAN, AND M. E. WILSON, The emergence of new diseases, American Scientist, 82 (1994), pp. 52-60.
-
(1994)
American Scientist
, vol.82
, pp. 52-60
-
-
Levins, R.1
Awerbuch, T.2
Brinkman, U.3
Eckardt, I.4
Epstein, P.5
Makhoul, N.6
De Possas, C.A.7
Puccia, C.8
Spielman, A.9
Wilson, M.E.10
-
143
-
-
0028817626
-
Global stability for the SEIR model in epidemiology
-
M. Y. LI AND J. S. MULDOWNEY, Global stability for the SEIR model in epidemiology, Math. Biosci., 125 (1995), pp. 155-164.
-
(1995)
Math. Biosci.
, vol.125
, pp. 155-164
-
-
Li, M.Y.1
Muldowney, J.S.2
-
144
-
-
0032812296
-
Global dynamics of an SEIR model with varying population size
-
M. Y. LI, J. R. GRAEF, L. WANG, AND J. KARSAI, Global dynamics of an SEIR model with varying population size, Math. Biosci., 160 (1999), pp. 191-213.
-
(1999)
Math. Biosci.
, vol.160
, pp. 191-213
-
-
Li, M.Y.1
Graef, J.R.2
Wang, L.3
Karsai, J.4
-
146
-
-
0027452018
-
An epidemiological model for HIV/AIDS with proportional recruitment
-
X. LIN, H. W. HETHCOTE, AND P. VAN DEN DRIESSCHE, An epidemiological model for HIV/AIDS with proportional recruitment, Math. Biosci., 118 (1993), pp. 181-195.
-
(1993)
Math. Biosci.
, vol.118
, pp. 181-195
-
-
Lin, X.1
Hethcote, H.W.2
Van Den Driessche, P.3
-
147
-
-
0023070210
-
Dynamical behavior of epidemiological models with nonlinear incidence rates
-
W. M. LIU, H. W. HETHCOTE, AND S. A. LEVIN, Dynamical behavior of epidemiological models with nonlinear incidence rates, J. Math. Biol., 25 (1987), pp. 359-380.
-
(1987)
J. Math. Biol.
, vol.25
, pp. 359-380
-
-
Liu, W.M.1
Hethcote, H.W.2
Levin, S.A.3
-
148
-
-
0022298258
-
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
-
W. M. LIU, S. A. LEVIN, AND Y. IWASA, Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models, J. Math. Biol., 23 (1986), pp. 187-204.
-
(1986)
J. Math. Biol.
, vol.23
, pp. 187-204
-
-
Liu, W.M.1
Levin, S.A.2
Iwasa, Y.3
-
149
-
-
0015739604
-
Recurrent outbreaks of measles, chickenpox and mumps I: Seasonal variation in contact rates
-
W. P. LONDON AND J. A. YORKE, Recurrent outbreaks of measles, chickenpox and mumps I: Seasonal variation in contact rates, Am. J. Epidemiol., 98 (1973), pp. 453-468.
-
(1973)
Am. J. Epidemiol.
, vol.98
, pp. 453-468
-
-
London, W.P.1
Yorke, J.A.2
-
150
-
-
0001487973
-
The stability of the normal age distribution
-
A. J. LOTKA, The stability of the normal age distribution, Proc. Nat. Acad. Sci. USA, 8 (1922), pp. 339-345.
-
(1922)
Proc. Nat. Acad. Sci. USA
, vol.8
, pp. 339-345
-
-
Lotka, A.J.1
-
152
-
-
0033402274
-
How will climate change affect human health?
-
P. MARTENS, How will climate change affect human health?, American Scientist, 87 (1999), pp. 534-541.
-
(1999)
American Scientist
, vol.87
, pp. 534-541
-
-
Martens, P.1
-
153
-
-
0018357820
-
Population biology of infectious diseases II
-
R. M. MAY AND R. M. ANDERSON, Population biology of infectious diseases II, Nature, 280 (1979), pp. 455-461.
-
(1979)
Nature
, vol.280
, pp. 455-461
-
-
May, R.M.1
Anderson, R.M.2
-
154
-
-
0023091646
-
Transmission dynamics of HIV infection
-
R. M. MAY AND R. M. ANDERSON, Transmission dynamics of HIV infection, Nature, 326 (1987), pp. 137-142.
-
(1987)
Nature
, vol.326
, pp. 137-142
-
-
May, R.M.1
Anderson, R.M.2
-
155
-
-
0025196926
-
Parasite-host coevolution
-
R. M. MAY AND R. M. ANDERSON, Parasite-host coevolution, Parasitology, 100 (1990), pp. S89-S101.
-
(1990)
Parasitology
, vol.100
-
-
May, R.M.1
Anderson, R.M.2
-
156
-
-
0023734156
-
Possible demographic consequences of HIV/AIDS
-
R. M. MAY, R. M. ANDERSON, AND A. R. MCLEAN, Possible demographic consequences of HIV/AIDS, Math. Biosci., 90 (1988), pp. 475-506.
-
(1988)
Math. Biosci.
, vol.90
, pp. 475-506
-
-
May, R.M.1
Anderson, R.M.2
McLean, A.R.3
-
157
-
-
84860215339
-
Applications of mathematics to medical problems
-
A. G. MCKENDRICK, Applications of mathematics to medical problems, Proc. Edinburgh Math. Soc., 44 (1926), pp. 98-130.
-
(1926)
Proc. Edinburgh Math. Soc.
, vol.44
, pp. 98-130
-
-
McKendrick, A.G.1
-
159
-
-
0026491804
-
Dynamic models of infectious diseases as regulators of population sizes
-
J. MENA-LORCA AND H. W. HETHCOTE, Dynamic models of infectious diseases as regulators of population sizes, J. Math. Biol., 30 (1992), pp. 693-716.
-
(1992)
J. Math. Biol.
, vol.30
, pp. 693-716
-
-
Mena-Lorca, J.1
Hethcote, H.W.2
-
160
-
-
0033372465
-
Density-dependent dynamics and superinfection in an epidemic model
-
J. MENA-LORCA, J. X. VELASCO-HERNANDEZ, AND C. CASTILLO-CHAVEZ, Density-dependent dynamics and superinfection in an epidemic model, IMA J. Math. Appl. Med. Biol., 16 (1999), pp. 307-317.
-
(1999)
IMA J. Math. Appl. Med. Biol.
, vol.16
, pp. 307-317
-
-
Mena-Lorca, J.1
Velasco-Hernandez, J.X.2
Castillo-Chavez, C.3
-
161
-
-
0002246064
-
Velocities of epidemic spread
-
D. Mollison, ed., Cambridge University Press, Cambridge, UK
-
J. A. J. METZ AND F. VAN DEN BOSCH, Velocities of epidemic spread, in Epidemic Models: Their Structure and Relation to Data, D. Mollison, ed., Cambridge University Press, Cambridge, UK, 1996, pp. 150-186.
-
(1996)
Epidemic Models: Their Structure and Relation to Data
, pp. 150-186
-
-
Metz, J.A.J.1
Van Den Bosch, F.2
-
162
-
-
0342823458
-
Asymptotically autonomous semiflows: Chain recurrence and lyapunov functions
-
K. MISCHAIKOW, H. SMITH, AND H. R. THIEME, Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions, Trans. Amer. Math. Soc., 53 (1993), pp. 1447-1479.
-
(1993)
Trans. Amer. Math. Soc.
, vol.53
, pp. 1447-1479
-
-
Mischaikow, K.1
Smith, H.2
Thieme, H.R.3
-
163
-
-
0026360188
-
Dependence of epidemic and population velocities on basic parameters
-
D. MOLLISON, Dependence of epidemic and population velocities on basic parameters, Math. Biosci., 107 (1991), pp. 255-287.
-
(1991)
Math. Biosci.
, vol.107
, pp. 255-287
-
-
Mollison, D.1
-
165
-
-
0032153822
-
Optimal vaccination patterns in age-structured populations
-
J. MULLER, Optimal vaccination patterns in age-structured populations, SIAM J. Appl. Math., 59 (1998), pp. 222-241.
-
(1998)
SIAM J. Appl. Math.
, vol.59
, pp. 222-241
-
-
Muller, J.1
-
168
-
-
0003896978
-
-
Oxford University Press, New York
-
M. B. A. OLDSTONE, Viruses, Plagues, and History, Oxford University Press, New York, 1998.
-
(1998)
Viruses, Plagues, and History
-
-
Oldstone, M.B.A.1
-
169
-
-
0025196595
-
Chaos versus noisy periodicity: Alternative hypotheses for childhood epidemics
-
L. F. OLSON AND W. M. SCHAFFER, Chaos versus noisy periodicity: Alternative hypotheses for childhood epidemics, Science, 249 (1990), pp. 499-504.
-
(1990)
Science
, vol.249
, pp. 499-504
-
-
Olson, L.F.1
Schaffer, W.M.2
-
170
-
-
0003752679
-
-
Random House, New York
-
R. PRESTON, The Hot Zone, Random House, New York, 1994.
-
(1994)
The Hot Zone
-
-
Preston, R.1
-
171
-
-
0025031240
-
Population models for diseases with no recovery
-
A. PUGLIESE, Population models for diseases with no recovery, J. Math. Biol., 28 (1990), pp. 65-82.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 65-82
-
-
Pugliese, A.1
-
172
-
-
10044286375
-
Spatial deterministic epidemics
-
AMS, Providence, RI
-
J. RADCLIFFE AND L. RASS, Spatial Deterministic Epidemics, Mathematical Surveys and Monographs, AMS, Providence, RI, 2001.
-
(2001)
Mathematical Surveys and Monographs
-
-
Radcliffe, J.1
Rass, L.2
-
174
-
-
0028046642
-
Waning immunity and its effects on vaccination schedules
-
V. ROUDERFER, N. BECKER, AND H. W. HETHCOTE, Waning immunity and its effects on vaccination schedules, Math. Biosci., 124 (1994), pp. 59-82.
-
(1994)
Math. Biosci.
, vol.124
, pp. 59-82
-
-
Rouderfer, V.1
Becker, N.2
Hethcote, H.W.3
-
175
-
-
0029143602
-
Assessment of two-dose vaccination schedules: Availability for vaccination and catch-up
-
V. ROUDERFER AND N. BECKER, Assessment of two-dose vaccination schedules: Availability for vaccination and catch-up, Math. Biosci., 129 (1995), pp. 41-66.
-
(1995)
Math. Biosci.
, vol.129
, pp. 41-66
-
-
Rouderfer, V.1
Becker, N.2
-
176
-
-
0022394032
-
A mathematical model for the global spread of influenza
-
L. A. RVACHEV AND I. M. LONGINI, A mathematical model for the global spread of influenza, Math. Biosci., 75 (1985), pp. 3-22.
-
(1985)
Math. Biosci.
, vol.75
, pp. 3-22
-
-
Rvachev, L.A.1
Longini, I.M.2
-
177
-
-
77957185501
-
An age-structured model of pre-and post-vaccination measles transmission
-
D. SCHENZLE, An age-structured model of pre-and post-vaccination measles transmission, IMA J. Math. Appl. Med. Biol., 1 (1984), pp. 169-191.
-
(1984)
IMA J. Math. Appl. Med. Biol.
, vol.1
, pp. 169-191
-
-
Schenzle, D.1
-
178
-
-
0032498154
-
Hunting down the last of the poliovirus
-
L. SCHLIEN, Hunting down the last of the poliovirus, Science, 279 (1998), p. 168.
-
(1998)
Science
, vol.279
, pp. 168
-
-
Schlien, L.1
-
179
-
-
0032744884
-
Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles
-
M. C. SCHUETTE AND H. W. HETHCOTE, Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles, Bull. Math. Biol., 61 (1999), pp. 1031-1064.
-
(1999)
Bull. Math. Biol.
, vol.61
, pp. 1031-1064
-
-
Schuette, M.C.1
Hethcote, H.W.2
-
182
-
-
0032875640
-
Bioterrorism: How prepared are we?
-
D. SHALALA, Bioterrorism: How prepared are we?, Emerg. Infect. Dis., 5 (1999). Available online from http://www.cdc.gov/ncidod/eid/vol5no4/shalala.htm.
-
(1999)
Emerg. Infect. Dis.
, vol.5
-
-
Shalala, D.1
-
184
-
-
0026846319
-
Reproduction numbers and the stability of equilibria of SI models for heterogeneous populations
-
C. P. SIMON AND J. A. JACQUEZ, Reproduction numbers and the stability of equilibria of SI models for heterogeneous populations, SIAM J. Appl. Math., 52 (1992), pp. 541-576.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, pp. 541-576
-
-
Simon, C.P.1
Jacquez, J.A.2
-
185
-
-
0032900664
-
The next influenza pandemic: Lessons from Hong Kong, 1997
-
R. SNACKEN, A. P. KENDAL, L. R. HAAHEIM, AND J. M. WOOD, The next influenza pandemic: Lessons from Hong Kong, 1997, Emerg. Infect. Dis., 5 (1999). Available online from http://www.cdc.gov/ncidod/eid/vol5no2/snacken.htm.
-
(1999)
Emerg. Infect. Dis.
, vol.5
-
-
Snacken, R.1
Kendal, A.P.2
Haaheim, L.R.3
Wood, J.M.4
-
186
-
-
0008260279
-
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations
-
H. R. THIEME, Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations, J. Reine Angew. Math., 306 (1979), pp. 94-121.
-
(1979)
J. Reine Angew. Math.
, vol.306
, pp. 94-121
-
-
Thieme, H.R.1
-
187
-
-
33847619711
-
Global asymptotic stability in epidemic models, in equadiff 82 proceedings
-
H. W. Knobloch and K. Schmitt, eds., Springer-Verlag, Berlin
-
H. R. THIEME, Global asymptotic stability in epidemic models, in Equadiff 82 Proceedings, H. W. Knobloch and K. Schmitt, eds., Lecture Notes in Math. 1017, Springer-Verlag, Berlin, 1983, pp. 609-615.
-
(1983)
Lecture Notes in Math.
, vol.1017
, pp. 609-615
-
-
Thieme, H.R.1
-
188
-
-
0344419318
-
Local stability in epidemic models for heterogeneous populations, in mathematics in biology and medicine
-
V. Capasso, E. Grosso, and S. L. Paveri-Fontana, eds., Springer-Verlag, Berlin
-
H. R. THIEME, Local stability in epidemic models for heterogeneous populations, in Mathematics in Biology and Medicine, V. Capasso, E. Grosso, and S. L. Paveri-Fontana, eds., Lecture Notes in Biomath. 97, Springer-Verlag, Berlin, 1985, pp. 185-189.
-
(1985)
Lecture Notes in Biomath.
, vol.97
, pp. 185-189
-
-
Thieme, H.R.1
-
189
-
-
0001511664
-
Stability change of the endemic equilibrium in age-structured models for the spread of S-I-R type infectious diseases, in differential equations models in biology, epidemiology, and ecology
-
S. Busenberg and M. Martelli, eds., Springer-Verlag, Berlin
-
H. R. THIEME, Stability change of the endemic equilibrium in age-structured models for the spread of S-I-R type infectious diseases, in Differential Equations Models in Biology, Epidemiology, and Ecology, S. Busenberg and M. Martelli, eds., Lecture Notes in Biomath. 92, Springer-Verlag, Berlin, 1991, pp. 139-158.
-
(1991)
Lecture Notes in Biomath.
, vol.92
, pp. 139-158
-
-
Thieme, H.R.1
-
190
-
-
0026616167
-
Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
-
H. R. THIEME, Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations, Math. Biosci., 111 (1992), pp. 99-130.
-
(1992)
Math. Biosci.
, vol.111
, pp. 99-130
-
-
Thieme, H.R.1
-
191
-
-
0039591930
-
Persistence under relaxed point-dissipativity (with an application to an endemic model)
-
H. R. THIEME, Persistence under relaxed point-dissipativity (with an application to an endemic model), SIAM J. Math. Anal., 24 (1993), pp. 407-435.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 407-435
-
-
Thieme, H.R.1
-
192
-
-
0022035886
-
An age-dependent epidemic model with application to measles
-
D. W. TUDOR, An age-dependent epidemic model with application to measles, Math. Biosci., 73 (1985), pp. 131-147.
-
(1985)
Math. Biosci.
, vol.73
, pp. 131-147
-
-
Tudor, D.W.1
-
193
-
-
0000237904
-
The velocity of spatial population expansion
-
F. VAN DEN BOSCH, J. A. J. METZ, AND O. DIEKMANN, The velocity of spatial population expansion, J. Math. Biol., 28 (1990), pp. 529-565.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 529-565
-
-
Van Den Bosch, F.1
Metz, J.A.J.2
Diekmann, O.3
-
196
-
-
0003277591
-
Deterministic threshold models in the theory of epidemics
-
Springer-Verlag, Berlin
-
P. E. WALTMAN, Deterministic Threshold Models in the Theory of Epidemics, Lecture Notes in Biomath. 1, Springer-Verlag, Berlin, 1974.
-
(1974)
Lecture Notes in Biomath.
, vol.1
-
-
Waltman, P.E.1
-
198
-
-
0031866130
-
Influenza: An emerging disease
-
R. G. WEBSTER, Influenza: An emerging disease, Emerg. Infect. Dis., 4 (1998). Available online from http://www.cdc.gov/ncidod/eid/vol4no3/webster.htm.
-
(1998)
Emerg. Infect. Dis.
, vol.4
-
-
Webster, R.G.1
-
199
-
-
0017481192
-
Mathematical models for the control of pests and infectious diseases: A survey
-
K. WICKWIRE, Mathematical models for the control of pests and infectious diseases: A survey, Theoret. Population Biol., 11 (1977), pp. 182-238.
-
(1977)
Theoret. Population Biol.
, vol.11
, pp. 182-238
-
-
Wickwire, K.1
-
200
-
-
0015711463
-
Recurrent outbreaks of measles, chickenpox, and mumps II
-
J. A. YORKE AND W. P. LONDON, Recurrent outbreaks of measles, chickenpox, and mumps II, Am. J. Epidemiol., 98 (1973), pp. 469-482.
-
(1973)
Am. J. Epidemiol.
, vol.98
, pp. 469-482
-
-
Yorke, J.A.1
London, W.P.2
-
201
-
-
0028726379
-
Population size dependent incidence in models for diseases without immunity
-
J. ZHOU AND H. W. HETHCOTE, Population size dependent incidence in models for diseases without immunity, J. Math. Biol., 32 (1994), pp. 809-834.
-
(1994)
J. Math. Biol.
, vol.32
, pp. 809-834
-
-
Zhou, J.1
Hethcote, H.W.2
-
202
-
-
0004254979
-
-
Brown and Company, Boston
-
H. ZINSSER, Rats, Lice, and History, Little, Brown and Company, Boston, 1935.
-
(1935)
Rats, Lice, and History, Little
-
-
Zinsser, H.1
|