-
1
-
-
0018656345
-
Population biology of infectious diseases: Part I
-
1. R.M. Anderson and R.M. May, Population biology of infectious diseases: Part I, Nature 280, 361-367 (1979).
-
(1979)
Nature
, vol.280
, pp. 361-367
-
-
Anderson, R.M.1
May, R.M.2
-
2
-
-
0003956990
-
-
American Public Health Association, Washington, DC
-
th edition, American Public Health Association, Washington, DC, (1990).
-
(1990)
th Edition
-
-
Benenson, A.S.1
-
4
-
-
0017228276
-
Quantitative analyses of communicable disease models
-
4. H.W. Hethcote, Quantitative analyses of communicable disease models, Math. Biosci. 28, 335-356 (1976).
-
(1976)
Math. Biosci.
, vol.28
, pp. 335-356
-
-
Hethcote, H.W.1
-
5
-
-
0018856876
-
Integral equations models for endemic infectious diseases
-
5. H.W. Hethcote and D.W. Tudor, Integral equations models for endemic infectious diseases, J. Math. Biol. 9, 37-47 (1980).
-
(1980)
J. Math. Biol.
, vol.9
, pp. 37-47
-
-
Hethcote, H.W.1
Tudor, D.W.2
-
6
-
-
0002449311
-
Periodicity and stability in epidemic models: A survey
-
Academic Press
-
6. 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, Academic Press, 65-82, (1981).
-
(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
-
7
-
-
0011252924
-
A problem in the theory of epidemics II
-
7. F.C. Hoppensteadt and P. Waltman, A problem in the theory of epidemics II, Math. Biosci. 12, 133-145 (1971).
-
(1971)
Math. Biosci.
, vol.12
, pp. 133-145
-
-
Hoppensteadt, F.C.1
Waltman, P.2
-
8
-
-
0016292753
-
A threshold criterion for the spread of infection in a two population model
-
8. P. Waltman, A threshold criterion for the spread of infection in a two population model, Math. Biosci. 21, 119-125 (1974).
-
(1974)
Math. Biosci.
, vol.21
, pp. 119-125
-
-
Waltman, P.1
-
9
-
-
0003277591
-
Deterministic threshold models in the theory of epidemics
-
Springer-Verlag, New York
-
9. P. Waltman, Deterministic threshold models in the theory of epidemics, Lecture Notes in Biomathematics, Volume 1, Springer-Verlag, New York, (1974).
-
(1974)
Lecture Notes in Biomathematics
, vol.1
-
-
Waltman, P.1
-
10
-
-
0003322241
-
Mathematical theories of populations: Demographics, genetics and epidemics
-
S.I.A.M., Philadelphia
-
10. F.C. Hoppensteadt, Mathematical theories of populations: Demographics, genetics and epidemics, Presented at the C.B.M.S. Regional Conference Series in Applied Mathematics, Volume 20, S.I.A.M., Philadelphia, (1975).
-
(1975)
C.B.M.S. Regional Conference Series in Applied Mathematics
, vol.20
-
-
Hoppensteadt, F.C.1
-
11
-
-
0022298258
-
Influence of non-linear incidence rates upon the behaviour of SIRS epidemiological models
-
11. W. Liu, S.A. Levin and Y. Iwasa, Influence of non-linear incidence rates upon the behaviour of SIRS epidemiological models, J. Math. Biol. 23, 187-204 (1986).
-
(1986)
J. Math. Biol.
, vol.23
, pp. 187-204
-
-
Liu, W.1
Levin, S.A.2
Iwasa, Y.3
-
12
-
-
0023070210
-
Dynamical behaviour of epidemiological models with non-linear incidence rates
-
12. W. Liu, H.W. Hethcote and S.A. Levin, Dynamical behaviour of epidemiological models with non-linear incidence rates, J. Math. Biol. 25, 359-380 (1987).
-
(1987)
J. Math. Biol.
, vol.25
, pp. 359-380
-
-
Liu, W.1
Hethcote, H.W.2
Levin, S.A.3
-
13
-
-
0027358312
-
Dose-dependent latent period and periodicity of infectious diseases
-
13. W. Liu, Dose-dependent latent period and periodicity of infectious diseases, J. Math. Biol. 31, 487-494 (1993).
-
(1993)
J. Math. Biol.
, vol.31
, pp. 487-494
-
-
Liu, W.1
-
14
-
-
0027429258
-
A disease transmission model in a non-constant population
-
14. W.R. Derrick and P. Van den Driessche, A disease transmission model in a non-constant population, J. Math. Biol. 31, 495-512 (1993).
-
(1993)
J. Math. Biol.
, vol.31
, pp. 495-512
-
-
Derrick, W.R.1
Van Den Driessche, P.2
-
15
-
-
0024578161
-
An epidemiological model with a delay and a non-linear incidence rate
-
15. H.W. Hethcote, M.A. Lewis and P. Van den Driessche, An epidemiological model with a delay and a non-linear incidence rate, J. Math. Biol. 27, 49-64 (1989).
-
(1989)
J. Math. Biol.
, vol.27
, pp. 49-64
-
-
Hethcote, H.W.1
Lewis, M.A.2
Van Den Driessche, P.3
-
16
-
-
0026491804
-
Dynamic models of infectious diseases as regulators of population sizes
-
16. J. Mena-Lorca and H.W. Hethcote, Dynamic models of infectious diseases as regulators of population sizes, J. Math. Biol. 30, 693-716 (1992).
-
(1992)
J. Math. Biol.
, vol.30
, pp. 693-716
-
-
Mena-Lorca, J.1
Hethcote, H.W.2
-
17
-
-
0026444580
-
Disease transmission models with density-dependent demographics
-
17. L.Q. Gao and H.W. Hethcote, Disease transmission models with density-dependent demographics, J. Math. Biol. 30, 717-731 (1992).
-
(1992)
J. Math. Biol.
, vol.30
, pp. 717-731
-
-
Gao, L.Q.1
Hethcote, H.W.2
-
18
-
-
0028726379
-
Population size dependent incidence in models for diseases without immunity
-
18. J. Zhou and H.W. Hethcote, Population size dependent incidence in models for diseases without immunity, J. Math. Biol. 32, 809-834 (1994).
-
(1994)
J. Math. Biol.
, vol.32
, pp. 809-834
-
-
Zhou, J.1
Hethcote, H.W.2
-
20
-
-
0025112636
-
Analysis of a disease transmission model with varying population size
-
20. S. Busenberg and P. Van den Driessche, Analysis of a disease transmission model with varying population size, J. Math. Biol. 29, 257-270 (1990).
-
(1990)
J. Math. Biol.
, vol.29
, pp. 257-270
-
-
Busenberg, S.1
Van Den Driessche, P.2
-
21
-
-
0026616167
-
Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
-
21. H.R. Thieme, Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations, Math. Biosci. 111, 99-130 (1992).
-
(1992)
Math. Biosci.
, vol.111
, pp. 99-130
-
-
Thieme, H.R.1
-
22
-
-
0001119103
-
Notice sur la loi que la population suit dans son accroissement
-
22. P.F. Verhulst, Notice sur la loi que la population suit dans son accroissement, Correspondence Mathematique et Physique 10, 113-121 (1838).
-
(1838)
Correspondence Mathematique et Physique
, vol.10
, pp. 113-121
-
-
Verhulst, P.F.1
-
24
-
-
0025950245
-
Epidemiology and infection in famine and disasters
-
24. P. Shears, Epidemiology and infection in famine and disasters, Epidemiol. Infect. 107, 241-251 (1991).
-
(1991)
Epidemiol. Infect.
, vol.107
, pp. 241-251
-
-
Shears, P.1
-
25
-
-
0002826333
-
The evaluation of rubella vaccination strategies
-
Edited by R.W. Hiorns and K. Cooke, Academic Press, New York
-
25. K. Dietz, The evaluation of rubella vaccination strategies, In The Mathematical Theory of the Dynamics of Biological Populations, (Edited by R.W. Hiorns and K. Cooke), pp. 81-98, Academic Press, New York, (1981).
-
(1981)
The Mathematical Theory of the Dynamics of Biological Populations
, pp. 81-98
-
-
Dietz, K.1
-
26
-
-
0024366777
-
Mathematical and statistical studies of the epidemiology of HIV
-
26. R.M. Anderson, Mathematical and statistical studies of the epidemiology of HIV, J. AIDS 3, 333-346 (1989).
-
(1989)
J. AIDS
, vol.3
, pp. 333-346
-
-
Anderson, R.M.1
-
27
-
-
0029287206
-
Modelling epidemics with variable contact rates
-
27. D. Greenhalgh and R. Das, Modelling epidemics with variable contact rates, Theoret. Popn. Biol. 47, 129-179 (1995).
-
(1995)
Theoret. Popn. Biol.
, vol.47
, pp. 129-179
-
-
Greenhalgh, D.1
Das, R.2
-
28
-
-
0024995399
-
An epidemic model with a density-dependent death rate
-
28. D. Greenhalgh, An epidemic model with a density-dependent death rate, IMA J. Math. Appl. Med. Biol. 7, 1-26 (1990).
-
(1990)
IMA J. Math. Appl. Med. Biol.
, vol.7
, pp. 1-26
-
-
Greenhalgh, D.1
-
29
-
-
0026915687
-
Vaccination in density-dependent epidemic models
-
29. D. Greenhalgh, Vaccination in density-dependent epidemic models, Bull. Math. Biol. 54, 733-758 (1992).
-
(1992)
Bull. Math. Biol.
, vol.54
, pp. 733-758
-
-
Greenhalgh, D.1
-
30
-
-
0027008214
-
Some threshold and stability results for epidemic models with a density-dependent death rate
-
30. D. Greenhalgh, Some threshold and stability results for epidemic models with a density-dependent death rate, Theoret. Popn. Biol. 42, 130-151 (1992).
-
(1992)
Theoret. Popn. Biol.
, vol.42
, pp. 130-151
-
-
Greenhalgh, D.1
-
31
-
-
77957188668
-
Some results for an SEIR epidemic model with density dependence in the death rate
-
31. D. Greenhalgh, Some results for an SEIR epidemic model with density dependence in the death rate, IMA J. Math. Appl. Med. Biol. 9, 67-106 (1992).
-
(1992)
IMA J. Math. Appl. Med. Biol.
, vol.9
, pp. 67-106
-
-
Greenhalgh, D.1
-
36
-
-
0025031240
-
Population models for diseases with no recovery
-
36. A. Pugliese, Population models for diseases with no recovery, J. Math. Biol. 28, 65-82 (1990).
-
(1990)
J. Math. Biol.
, vol.28
, pp. 65-82
-
-
Pugliese, A.1
-
37
-
-
0011252155
-
Non-existence of periodic solutions for a class of epidemiological models. Differential equation models in biology, epidemiology and ecology
-
Proceedings of a Conference held in Claremont, CA, January 13-16, 1990, Springer-Verlag
-
37. S. Busenberg and P. Van den Driessche, Non-existence of periodic solutions for a class of epidemiological models. Differential Equation Models in Biology, Epidemiology and Ecology, In Proceedings of a Conference held in Claremont, CA, January 13-16, 1990, Lecture Notes Biomath., Volume 92, pp. 70-79, Springer-Verlag, (1991).
-
(1991)
Lecture Notes Biomath.
, vol.92
, pp. 70-79
-
-
Busenberg, S.1
Van Den Driessche, P.2
-
38
-
-
0019405444
-
Population dynamics of fox rabies in Europe
-
38. R.M. Anderson, H.C. Jackson, R.M. May and A.M. Smith, Population dynamics of fox rabies in Europe, Nature 289, 765-771 (1981).
-
(1981)
Nature
, vol.289
, pp. 765-771
-
-
Anderson, R.M.1
Jackson, H.C.2
May, R.M.3
Smith, A.M.4
-
39
-
-
0011171133
-
An SEI epidemic model with varying population size
-
Differential Equation Models in Biology, Epidemiology and Ecology. Proceedings of a Conference held in Claremont, CA, January 13-16, 1990, Springer-Verlag
-
39. A. Pugliese, An SEI epidemic model with varying population size, In Differential Equation Models in Biology, Epidemiology and Ecology. Proceedings of a Conference held in Claremont, CA, January 13-16, 1990, Lecture Notes Biomath., Volume 92, pp. 121-138, Springer-Verlag, (1991).
-
(1991)
Lecture Notes Biomath.
, vol.92
, pp. 121-138
-
-
Pugliese, A.1
-
40
-
-
0029012360
-
Four SEI endemic models with periodicity and separatrices
-
40. L.Q. Gao, J. Mena-Lorca and H.W. Hethcote, Four SEI endemic models with periodicity and separatrices, Math. Biosci. 128, 157-184 (1995).
-
(1995)
Math. Biosci.
, vol.128
, pp. 157-184
-
-
Gao, L.Q.1
Mena-Lorca, J.2
Hethcote, H.W.3
-
41
-
-
0011180664
-
The persistence of direct life cycle infectious diseases within populations of hosts
-
American Mathematical Society
-
41. R.M. Anderson, The persistence of direct life cycle infectious diseases within populations of hosts, Lectures on Mathematics in the Life Sciences, Volume 12, pp. 1-67, American Mathematical Society, (1979).
-
(1979)
Lectures on Mathematics in the Life Sciences
, vol.12
, pp. 1-67
-
-
Anderson, R.M.1
-
42
-
-
0024205659
-
Modelling and analyzing HIV transmission: The effect of contact patterns
-
42. J.A. Jacquez, C.P. Simon, J.S. Koopman, L. Sattenspiel and T. Perry, Modelling and analyzing HIV transmission: The effect of contact patterns, Math. Biosci. 92, 119-199 (1988).
-
(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
|