-
1
-
-
35348935958
-
Asymptotic profile of the steady states for an SIS epidemic disease reaction-diffusion model
-
to appear
-
J. S. ALLEN, B. M. BOLKER, Y. LOU, AND A. L. NEVAI (2007), Asymptotic profile of the steady states for an SIS epidemic disease reaction-diffusion model, Discrete Contin. Dynam. Systems, to appear.
-
(2007)
Discrete Contin. Dynam. Systems
-
-
ALLEN, J.S.1
BOLKER, B.M.2
LOU, Y.3
NEVAI, A.L.4
-
2
-
-
0842346795
-
SIS epidemic models with multiple pathogen strains
-
J. S. ALLEN, N. KIRUPAHARAN, AND S. M. WILSON (2004), SIS epidemic models with multiple pathogen strains, J. Difference Equations Appl., 10, pp. 53-75.
-
(2004)
J. Difference Equations Appl
, vol.10
, pp. 53-75
-
-
ALLEN, J.S.1
KIRUPAHARAN, N.2
WILSON, S.M.3
-
3
-
-
0345305376
-
The role of density-dependent dispersal in source-sink dynamics
-
P. AMARASEKARE (2004), The role of density-dependent dispersal in source-sink dynamics, J. Theoret. Biol., 226, pp. 159-168.
-
(2004)
J. Theoret. Biol
, vol.226
, pp. 159-168
-
-
AMARASEKARE, P.1
-
4
-
-
25144517817
-
-
J. ARINO, J. R. DAVIS, D. HARTLEY, R. JORDAN, J. M. MILLER, AND P. VAN DEN DRIESSCHE (2005), A multi-species epidemic model with spatial dynamics, Math. Med. Biol., 22, pp. 129-142.
-
J. ARINO, J. R. DAVIS, D. HARTLEY, R. JORDAN, J. M. MILLER, AND P. VAN DEN DRIESSCHE (2005), A multi-species epidemic model with spatial dynamics, Math. Med. Biol., 22, pp. 129-142.
-
-
-
-
5
-
-
35348959326
-
-
J. ARINO AND P. VAN DEN DRIESSCHE (2003a), The basic reproduction number in a multi-city compartmental epidemic model, in Proceedings of Posta, Lecture Notes in Control and Inform. Sci. 294, L. Benvenuti, A. De Santis, and L. Farina, eds., Springer, New York, pp. 135-142.
-
J. ARINO AND P. VAN DEN DRIESSCHE (2003a), The basic reproduction number in a multi-city compartmental epidemic model, in Proceedings of Posta, Lecture Notes in Control and Inform. Sci. 294, L. Benvenuti, A. De Santis, and L. Farina, eds., Springer, New York, pp. 135-142.
-
-
-
-
6
-
-
4744356460
-
-
J. ARINO AND P. VAN DEN DRIESSCHE (2003b), A multi-city epidemic model, Math. Popul. Stud., 10, pp. 175-193.
-
J. ARINO AND P. VAN DEN DRIESSCHE (2003b), A multi-city epidemic model, Math. Popul. Stud., 10, pp. 175-193.
-
-
-
-
7
-
-
35348935959
-
-
J. ARINO AND P. VAN DEN DRIESSCHE (2006), Disease spread in metapopulations, in Nonlinear Dynamics and Evolution Equations, Fields Inst. Commun. 48, H. Brunner, X.-O. Zhao, and X. Zou, eds., AMS, Providence, RI, pp. 1-13.
-
J. ARINO AND P. VAN DEN DRIESSCHE (2006), Disease spread in metapopulations, in Nonlinear Dynamics and Evolution Equations, Fields Inst. Commun. 48, H. Brunner, X.-O. Zhao, and X. Zou, eds., AMS, Providence, RI, pp. 1-13.
-
-
-
-
9
-
-
0029654470
-
Space, persistence, and dynamics of measles epidemics
-
B. M. BOLKER AND B. T. GRENFELL (1995), Space, persistence, and dynamics of measles epidemics, Phil. Trans. R. Soc. Lond. B, 348, pp. 309-320.
-
(1995)
Phil. Trans. R. Soc. Lond. B
, vol.348
, pp. 309-320
-
-
BOLKER, B.M.1
GRENFELL, B.T.2
-
11
-
-
0034770285
-
Dispersal, disease and life-history evolution
-
CASTILLO-CHAVEZ AND A.-A. YAKUBU (2001), Dispersal, disease and life-history evolution, Math. Biosci., 173, pp. 35-53.
-
(2001)
Math. Biosci
, vol.173
, pp. 35-53
-
-
CASTILLO-CHAVEZ1
YAKUBU, A.-A.2
-
12
-
-
0011058386
-
Intraspecific competition, dispersal, and disease dynamics in discrete-time patchy environments
-
C. Castillo-Chavez, S. Blower, P. van den Driessche, D. Kirschner, and A.-A. Yakubu, eds, Springer-Verlag, New York, pp
-
CASTILLO-CHAVEZ AND A.-A. YAKUBU (2002), Intraspecific competition, dispersal, and disease dynamics in discrete-time patchy environments, in Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, C. Castillo-Chavez, S. Blower, P. van den Driessche, D. Kirschner, and A.-A. Yakubu, eds., Springer-Verlag, New York, pp. 165-181.
-
(2002)
Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction
, pp. 165-181
-
-
CASTILLO-CHAVEZ1
YAKUBU, A.-A.2
-
13
-
-
35348938066
-
-
T. DHIRASAKDANON, H. THIEME, AND P. VAN DEN DRIESSCHE (2007), A Sharp Threshold for Disease Persistence in Patchy Host Populations, preprint.
-
T. DHIRASAKDANON, H. THIEME, AND P. VAN DEN DRIESSCHE (2007), A Sharp Threshold for Disease Persistence in Patchy Host Populations, preprint.
-
-
-
-
15
-
-
0025159677
-
On the definition and the computation of the basic reproduction ratio TZo in models for infectious diseases in heterogeneous populations
-
O. DIEKMANN, J. A. P. HEESTERBEEK, AND J. A. J. METZ (1990), On the definition and the computation of the basic reproduction ratio TZo in models for infectious diseases in heterogeneous populations, J. Math. Biol., 28, pp. 365-382.
-
(1990)
J. Math. Biol
, vol.28
, pp. 365-382
-
-
DIEKMANN, O.1
HEESTERBEEK, J.A.P.2
METZ, J.A.J.3
-
17
-
-
0033150733
-
The effects of density dependence and immigration on local adaptation and niche evolution in a black-hole sink environment
-
R. GOMULKIEWICZ, R. D. HOLT, AND M. BARFIELD (1995), The effects of density dependence and immigration on local adaptation and niche evolution in a black-hole sink environment, Theoret. Pop. Biol., 55, pp. 283-296.
-
(1995)
Theoret. Pop. Biol
, vol.55
, pp. 283-296
-
-
GOMULKIEWICZ, R.1
HOLT, R.D.2
BARFIELD, M.3
-
18
-
-
0030427822
-
Disease in metapopulation models: Implications for conservation
-
G. HESS (1996), Disease in metapopulation models: Implications for conservation, Ecology, 77, pp. 1617-1632.
-
(1996)
Ecology
, vol.77
, pp. 1617-1632
-
-
HESS, G.1
-
19
-
-
19044385162
-
The effect of population dispersal on the spread of a disease
-
Y. JIN AND W. WANG (2005), The effect of population dispersal on the spread of a disease, J. Math. Anal. Appl., 308, pp. 343-364.
-
(2005)
J. Math. Anal. Appl
, vol.308
, pp. 343-364
-
-
JIN, Y.1
WANG, W.2
-
20
-
-
0000337775
-
0's for subgroups in heterogeneous SIS and SI models
-
D. Mollison, ed, Cambridge University Press, Cambridge, UK
-
0's for subgroups in heterogeneous SIS and SI models, in Epidemic Models: Their Structure and Relation to Data, D. Mollison, ed., Cambridge University Press, Cambridge, UK.
-
(1995)
Epidemic Models: Their Structure and Relation to Data
-
-
JACQUEZ, J.A.1
SIMON, C.P.2
KOOPMAN, J.S.3
-
21
-
-
0842324733
-
Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models
-
A. L. LLOYD AND V. A. A. JANSEN (2004), Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models, Math. Biosci., 188, pp. 1-16.
-
(2004)
Math. Biosci
, vol.188
, pp. 1-16
-
-
LLOYD, A.L.1
JANSEN, V.A.A.2
-
22
-
-
0029980587
-
Spatial heterogeneity in epidemic models
-
A. LLOYD AND R. M. MAY (1996), Spatial heterogeneity in epidemic models, J. Theoret. Biol., 179, pp. 1-11.
-
(1996)
J. Theoret. Biol
, vol.179
, pp. 1-11
-
-
LLOYD, A.1
MAY, R.M.2
-
23
-
-
35348975462
-
-
Ph.D. dissertation, Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX
-
R. K. MCCORMACK (2006), Multi-Host and Multi-Patch Mathematical Epidemic Models for Disease Emergence with Applications to Hantavirus in Wild Rodent Populations, Ph.D. dissertation, Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX.
-
(2006)
Multi-Host and Multi-Patch Mathematical Epidemic Models for Disease Emergence with Applications to Hantavirus in Wild Rodent Populations
-
-
MCCORMACK, R.K.1
-
24
-
-
3042766296
-
Dispersal-mediated coexistence of competing predators
-
T. NAMBA AND C. HASHIMOTO (2004), Dispersal-mediated coexistence of competing predators, Theoret. Pop. Biol., 66, pp. 53-70.
-
(2004)
Theoret. Pop. Biol
, vol.66
, pp. 53-70
-
-
NAMBA, T.1
HASHIMOTO, C.2
-
26
-
-
35348979058
-
Spatial-temporal dynamics in nonlocal epidemiological models
-
Y. Takeuchi, K. Sato, and Y. Iwasa, eds, Springer-Verlag, New York, pp
-
S. RUAN (2006), Spatial-temporal dynamics in nonlocal epidemiological models, in Mathematics for Life Science and Medicine, Vol. 2, Y. Takeuchi, K. Sato, and Y. Iwasa, eds., Springer-Verlag, New York, pp. 99-122.
-
(2006)
Mathematics for Life Science and Medicine
, vol.2
, pp. 99-122
-
-
RUAN, S.1
-
27
-
-
33747161363
-
The effect of global travel on the spread of SARS
-
S. RUAN, W. WANG, AND S. A. LEVIN (2006), The effect of global travel on the spread of SARS, Math. Biosci., 3, pp. 205-218.
-
(2006)
Math. Biosci
, vol.3
, pp. 205-218
-
-
RUAN, S.1
WANG, W.2
LEVIN, S.A.3
-
28
-
-
0022394032
-
A mathematical model for the global spread of influenza
-
A. RVACHEV AND I. M. LONGINI (1985), A mathematical model for the global spread of influenza, Math. Biosci., 75, pp. 3-22.
-
(1985)
Math. Biosci
, vol.75
, pp. 3-22
-
-
RVACHEV, A.1
LONGINI, I.M.2
-
29
-
-
33644560674
-
-
SALMANI AND P. VAN DEN DRIESSCHE (2006), A model for disease transmission in a patchy environment, Discrete Contin. Dynam. Systems Ser, B, 6, pp. 185-202.
-
SALMANI AND P. VAN DEN DRIESSCHE (2006), A model for disease transmission in a patchy environment, Discrete Contin. Dynam. Systems Ser, B, 6, pp. 185-202.
-
-
-
-
30
-
-
0028989477
-
A structured epidemic model incorporating geographic mobility among regions
-
SATTENSPIEL AND K. DIETZ (1995), A structured epidemic model incorporating geographic mobility among regions, Math. Biosci., 128, pp. 71-91.
-
(1995)
Math. Biosci
, vol.128
, pp. 71-91
-
-
SATTENSPIEL1
DIETZ, K.2
-
32
-
-
0003726932
-
-
AMS, Providence, RI
-
H. SMITH (1995), Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems, Mathematical Surveys and Monographs, AMS, Providence, RI.
-
(1995)
Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems, Mathematical Surveys and Monographs
-
-
SMITH, H.1
-
33
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
P. VAN DEN DRIESSCHE AND J. WATMOUGH (2002), Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180, pp. 29-48.
-
(2002)
Math. Biosci
, vol.180
, pp. 29-48
-
-
VAN, P.1
DRIESSCHE, D.2
WATMOUGH, J.3
-
34
-
-
0141850338
-
Threshold of disease transmission in a patch environment, 3
-
W. WANG AND G. MULONE (2003), Threshold of disease transmission in a patch environment, 3. Math. Anal. Appl., 285, pp. 321-335.
-
(2003)
Math. Anal. Appl
, vol.285
, pp. 321-335
-
-
WANG, W.1
MULONE, G.2
-
35
-
-
2542463400
-
An epidemic model in a patchy environment
-
W. WANG AND X.-Q. ZHAO (2004), An epidemic model in a patchy environment, Math. Biosci., 190, pp. 97-112.
-
(2004)
Math. Biosci
, vol.190
, pp. 97-112
-
-
WANG, W.1
ZHAO, X.-Q.2
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