-
1
-
-
1642341634
-
Periodicity in an epidemic model with a generalized non-linear incidence
-
Alexander M.E., and Moghadas S.M. Periodicity in an epidemic model with a generalized non-linear incidence. Math Biosci 189 (2004) 75-96
-
(2004)
Math Biosci
, vol.189
, pp. 75-96
-
-
Alexander, M.E.1
Moghadas, S.M.2
-
2
-
-
0001641821
-
Bifurcations of a limit cycle for a family of vector fields on the plan
-
Bogdanov R.I. Bifurcations of a limit cycle for a family of vector fields on the plan. Selecta Math Soviet 1 (1981) 373-388
-
(1981)
Selecta Math Soviet
, vol.1
, pp. 373-388
-
-
Bogdanov, R.I.1
-
3
-
-
0002549474
-
Versal deformations of a singular point on the plane in the case of zero eigen-values
-
Bogdanov R.I. Versal deformations of a singular point on the plane in the case of zero eigen-values. Selecta Math Soviet 1 (1981) 389-421
-
(1981)
Selecta Math Soviet
, vol.1
, pp. 389-421
-
-
Bogdanov, R.I.1
-
4
-
-
0034976407
-
Models for translation of disease with immigration of infectives
-
Brauer F., and van den Driessche P. Models for translation of disease with immigration of infectives. Math Biosci 171 (2001) 143-154
-
(2001)
Math Biosci
, vol.171
, pp. 143-154
-
-
Brauer, F.1
van den Driessche, P.2
-
5
-
-
0018041874
-
A generalization of the Kermack-Mckendrick deterministic epidemic model
-
Capasso V., and Serio G. A generalization of the Kermack-Mckendrick deterministic epidemic model. Math Biosci 42 (1978) 43-61
-
(1978)
Math Biosci
, vol.42
, pp. 43-61
-
-
Capasso, V.1
Serio, G.2
-
6
-
-
0027429258
-
A disease transmission model in a nonconstant population
-
Derrick W.R., and van den Driessche P. A disease transmission model in a nonconstant population. J Math Biol 31 (1993) 495-512
-
(1993)
J Math Biol
, vol.31
, pp. 495-512
-
-
Derrick, W.R.1
van den Driessche, P.2
-
7
-
-
0043263962
-
Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population
-
Derrick W.R., and van den Driessche P. Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population. Discret Contin Dynam Systems Ser B 3 (2003) 299-309
-
(2003)
Discret Contin Dynam Systems Ser B
, vol.3
, pp. 299-309
-
-
Derrick, W.R.1
van den Driessche, P.2
-
8
-
-
0031066070
-
Melnikov analysis of chaos in a simple epidemiological model
-
Glendinning P., and Perry L.P. Melnikov analysis of chaos in a simple epidemiological model. J Math Biol 35 (1997) 359-373
-
(1997)
J Math Biol
, vol.35
, pp. 359-373
-
-
Glendinning, P.1
Perry, L.P.2
-
9
-
-
0003478288
-
-
Springer-Verlag, Berlin Heidelberg New York p. 31
-
Guckenheimer J., and Holmes P. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields (1997), Springer-Verlag, Berlin Heidelberg New York p. 31
-
(1997)
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
10
-
-
0038521431
-
A qualitative study of a vaccination model with nonlinear incidence
-
Gumel A.B., and Moghadas S.M. A qualitative study of a vaccination model with nonlinear incidence. Appl Math Comput 143 (2003) 409-419
-
(2003)
Appl Math Comput
, vol.143
, pp. 409-419
-
-
Gumel, A.B.1
Moghadas, S.M.2
-
11
-
-
1542380055
-
Global stability of an SEI epidemic model
-
Li G., and Jin Z. Global stability of an SEI epidemic model. Chaos, Solitons & Fractals 21 4 (2004) 925-931
-
(2004)
Chaos, Solitons & Fractals
, vol.21
, Issue.4
, pp. 925-931
-
-
Li, G.1
Jin, Z.2
-
12
-
-
18844377907
-
A discrete epidemic model with stage structure
-
Li X., and Wang W. A discrete epidemic model with stage structure. Chaos, Solitons & Fractals 26 3 (2005) 947-958
-
(2005)
Chaos, Solitons & Fractals
, vol.26
, Issue.3
, pp. 947-958
-
-
Li, X.1
Wang, W.2
-
13
-
-
0022298258
-
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
-
Liu W.M., Levin S.A., and Iwasa Y. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. J Math Biol 23 (1986) 187-204
-
(1986)
J Math Biol
, vol.23
, pp. 187-204
-
-
Liu, W.M.1
Levin, S.A.2
Iwasa, Y.3
-
14
-
-
0023070210
-
Dynamical behavior of epidemiological models with nonlinear incidence rates
-
Liu W.M., Hethcote H.W., and Levin S.A. Dynamical behavior of epidemiological models with nonlinear incidence rates. J Math Biol 25 (1987) 359-380
-
(1987)
J Math Biol
, vol.25
, pp. 359-380
-
-
Liu, W.M.1
Hethcote, H.W.2
Levin, S.A.3
-
15
-
-
0037332898
-
Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
-
Liu X., and Chen L. Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator. Chaos, Solitons & Fractals 16 2 (2003) 311-320
-
(2003)
Chaos, Solitons & Fractals
, vol.16
, Issue.2
, pp. 311-320
-
-
Liu, X.1
Chen, L.2
-
16
-
-
0030277612
-
Multiparameteric bifurcations for a model in epidemiology
-
Lizana M., and Rivero H. Multiparameteric bifurcations for a model in epidemiology. J Math Biol 35 (1996) 21-36
-
(1996)
J Math Biol
, vol.35
, pp. 21-36
-
-
Lizana, M.1
Rivero, H.2
-
17
-
-
1542540905
-
Some examples of persistence in epidemiological models
-
Margheri A., and Rebelo C. Some examples of persistence in epidemiological models. J Math Biol 46 (2003) 564-570
-
(2003)
J Math Biol
, vol.46
, pp. 564-570
-
-
Margheri, A.1
Rebelo, C.2
-
18
-
-
0347758641
-
Analysis of an epidemic model with bistable equilibria using the Poincare index
-
Moghadas S.M. Analysis of an epidemic model with bistable equilibria using the Poincare index. Appl Math Comput 149 (2004) 689-702
-
(2004)
Appl Math Comput
, vol.149
, pp. 689-702
-
-
Moghadas, S.M.1
-
20
-
-
0034839054
-
Global analysis in a predator-prey system with nonmonotonic functional response
-
Ruan S., and Xiao D. Global analysis in a predator-prey system with nonmonotonic functional response. SIAM J Appl Math 61 (2001) 1445-1472
-
(2001)
SIAM J Appl Math
, vol.61
, pp. 1445-1472
-
-
Ruan, S.1
Xiao, D.2
-
21
-
-
0037429355
-
Dynamical behavior of an epidemic model with a nonlinear incidence rate
-
Ruan S., and Wang W. Dynamical behavior of an epidemic model with a nonlinear incidence rate. J Differn Equat 188 (2003) 135-163
-
(2003)
J Differn Equat
, vol.188
, pp. 135-163
-
-
Ruan, S.1
Wang, W.2
-
22
-
-
0002533366
-
Forced oscillations and bifurcations, applications of global analysis I
-
Takens F. Forced oscillations and bifurcations, applications of global analysis I. Comm Mathj Inst Rijksuniversitat Utrecht 3 (1974) 1-59
-
(1974)
Comm Mathj Inst Rijksuniversitat Utrecht
, vol.3
, pp. 1-59
-
-
Takens, F.1
-
23
-
-
0034198679
-
A simple SIS epidemic model with a backward bifurcation
-
van den Driessche P., and Watmough J. A simple SIS epidemic model with a backward bifurcation. J Math Biol 40 (2000) 525-540
-
(2000)
J Math Biol
, vol.40
, pp. 525-540
-
-
van den Driessche, P.1
Watmough, J.2
-
25
-
-
27144540965
-
Viral infection model with periodic lytic immune response
-
Wang K., Wang W., and Liu X. Viral infection model with periodic lytic immune response. Chaos, Solitons & Fractals 28 1 (2006) 90-99
-
(2006)
Chaos, Solitons & Fractals
, vol.28
, Issue.1
, pp. 90-99
-
-
Wang, K.1
Wang, W.2
Liu, X.3
-
26
-
-
2542463400
-
An endemic model in a patchy environment
-
Wang W., and Zhao X.-Q. An endemic model in a patchy environment. Math Biosci 190 (2004) 97-112
-
(2004)
Math Biosci
, vol.190
, pp. 97-112
-
-
Wang, W.1
Zhao, X.-Q.2
-
27
-
-
0034693545
-
Homoclinic bifurcation in an SIQR model for childhood disease
-
Wu L., and Feng Z. Homoclinic bifurcation in an SIQR model for childhood disease. J Differ Equat 168 (2000) 150-167
-
(2000)
J Differ Equat
, vol.168
, pp. 150-167
-
-
Wu, L.1
Feng, Z.2
-
28
-
-
0042828944
-
Global dynamics of an SEIRS epidemic model with saturating contact rate
-
Zhang J., and Ma Z. Global dynamics of an SEIRS epidemic model with saturating contact rate. Math Biosci 185 (2003) 15-32
-
(2003)
Math Biosci
, vol.185
, pp. 15-32
-
-
Zhang, J.1
Ma, Z.2
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