-
1
-
-
1642341634
-
Periodicity in an epidemic model with a generalized non-linear incidence
-
M. E. Alexander and S. M. Moghadas, 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
-
-
27844516471
-
Bifurcation analysis of an SIRS epidemic model with generalized incidence
-
M. E. Alexander and S. M. Moghadas, Bifurcation analysis of an SIRS epidemic model with generalized incidence, SIAM J. Appl. Math., 65 (2005), 1794-1816.
-
(2005)
SIAM J. Appl. Math.
, vol.65
, pp. 1794-1816
-
-
Alexander, M.E.1
Moghadas, S.M.2
-
3
-
-
0018041874
-
A generalization of the Kermack-McKendrick deterministic epi-demic model
-
V. Capasso and G. Serio, A generalization of the Kermack-McKendrick deterministic epi-demic model, Math. Biosci., 42 (1978), 43-61.
-
(1978)
Math. Biosci.
, vol.42
, pp. 43-61
-
-
Capasso, V.1
Serio, G.2
-
4
-
-
0043263962
-
Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population
-
W. R. Derrick and P. van den Driessche, Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population, Discrete Contin. Dyn. Syst. Ser. B, 2 (2003), 299-309.
-
(2003)
Discrete Contin. Dyn. Syst. Ser. B
, vol.2
, pp. 299-309
-
-
Derrick, W.R.1
Driessche Den P.Van2
-
5
-
-
0029014859
-
Recurrent outbreaks of childhood disease revisited: The impact of isolation
-
Z. Feng and H. R. Thieme, Recurrent outbreaks of childhood disease revisited: The impact of isolation, Math. Biosci., 128 (1995), 93-130.
-
(1995)
Math. Biosci.
, vol.128
, pp. 93-130
-
-
Feng, Z.1
Thieme, H.R.2
-
7
-
-
0003216805
-
Theory and applications of Hopf bifurcation
-
Cambridge University Press, Cambridge
-
B. D. Hassard, N. D. Kazarinoff and Y. H. Wan, "Theory and Applications of Hopf Bifurcation," Lecture Notes Series, vol. 41, Cambridge University Press, Cambridge, 1981.
-
(1981)
Lecture Notes Series
, vol.41
-
-
Hassard, B.D.1
Kazarinoff, N.D.2
Wan, Y.H.3
-
8
-
-
0034486891
-
The mathematics of infectious disease
-
H. W. Hethcote, The mathematics of infectious disease, SIAM Rev., 42 (2000), 599-653.
-
(2000)
SIAM Rev.
, vol.42
, pp. 599-653
-
-
Hethcote, H.W.1
-
9
-
-
0000236256
-
Periodicity in epidemiological models
-
"Applied Math-ematical Ecology" (Trieste, 1986), Springer-Verlag, Berlin
-
H. W. Hethcote and S. A. Levin, Periodicity in epidemiological models, in "Applied Math-ematical Ecology" (Trieste, 1986), Biomathematics 18, Springer-Verlag, Berlin, 1989, pp. 193-211.
-
(1989)
Biomathematics
, vol.18
, pp. 193-211
-
-
Hethcote, H.W.1
Levin, S.A.2
-
10
-
-
0025985745
-
Some epidemiological models with nonlinear inci-dence
-
H. W. Hethcote and P. van den Driessche, Some epidemiological models with nonlinear inci-dence, J. Math. Biol., 29 (1991), 271-287.
-
(1991)
J. Math. Biol.
, vol.29
, pp. 271-287
-
-
Hethcote, H.W.1
Driessche Den P.Van2
-
11
-
-
24944545967
-
Elements of applied bifurcation theory
-
3rd edition, Springer-Verlag, New York
-
Y. A. Kuznetsov, "Elements of Applied Bifurcation Theory," 3rd edition, Appl. Math. Sci. 112, Springer-Verlag, New York, 2004.
-
(2004)
Appl. Math. Sci.
, vol.112
-
-
Kuznetsov, Y.A.1
-
12
-
-
67649213965
-
Bifurcation analysis of an epidemic model with nonlinear incidence
-
G. Li and W. Wang, Bifurcation analysis of an epidemic model with nonlinear incidence, Appl. Math. Comput., 214 (2009), 411-423.
-
(2009)
Appl. Math. Comput.
, vol.214
, pp. 411-423
-
-
Li, G.1
Wang, W.2
-
13
-
-
0023070210
-
Dynamical behavior of epidemiological models with nonlinear incidence rates
-
W. M. Liu, H. W. Hetchote and S. A. Levin, 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
Hetchote, H.W.2
Levin, S.A.3
-
14
-
-
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), 187-204.
-
(1986)
J. Math. Biol.
, vol.23
, pp. 187-204
-
-
Liu, W.M.1
Levin, S.A.2
Iwasa, Y.3
-
15
-
-
0030277612
-
Multiparametric bifurcations for a model in epidemiology
-
M. Lizana and J. Rivero, Multiparametric 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, J.2
-
16
-
-
0347758641
-
Analysis of an epidemic model with bistable equilibria using the Poincaŕe index
-
S. M. Moghadas, Analysis of an epidemic model with bistable equilibria using the Poincaŕe index, Appl. Math. Comput., 149 (2004), 689-702.
-
(2004)
Appl. Math. Comput.
, vol.149
, pp. 689-702
-
-
Moghadas, S.M.1
-
17
-
-
33750094360
-
Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate
-
S. M. Moghadas and M. E. Alexander, Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate, Math. Med. Biol., 23 (2006), 231-254.
-
(2006)
Math. Med. Biol.
, vol.23
, pp. 231-254
-
-
Moghadas, S.M.1
Alexander, M.E.2
-
18
-
-
0037429355
-
Dynamical behavior of an epidemic model with a nonlinear incidence rate
-
S. Ruan and W. Wang, Dynamical behavior of an epidemic model with a nonlinear incidence rate, J. Differential Equations, 188 (2003), 135-163.
-
(2003)
J. Differential Equations
, vol.188
, pp. 135-163
-
-
Ruan, S.1
Wang, W.2
-
19
-
-
69049115668
-
Coexistence of limit cycles and homoclinic loops in a SIRS model with a nonlinear incidence rate
-
Y. Tang, D. Huang, S. Ruan and W. Zhang, Coexistence of limit cycles and homoclinic loops in a SIRS model with a nonlinear incidence rate, SIAM J. Appl. Math., 69 (2008), 621-639.
-
(2008)
SIAM J. Appl. Math.
, vol.69
, pp. 621-639
-
-
Tang, Y.1
Huang, D.2
Ruan, S.3
Zhang, W.4
-
20
-
-
33846877367
-
Epidemic models with nonlinear infection forces
-
W. Wang, Epidemic models with nonlinear infection forces, Math. Biosci. Eng., 3 (2006), 267-279.
-
(2006)
Math. Biosci. Eng.
, vol.3
, pp. 267-279
-
-
Wang, W.1
-
22
-
-
34547134261
-
Global analysis of an epidemic model with nonmonotone incidence rate
-
D. Xiao and S. Ruan, Global analysis of an epidemic model with nonmonotone incidence rate, Math. Biosci., 208 (2007), 419-429.
-
(2007)
Math. Biosci.
, vol.208
, pp. 419-429
-
-
Xiao, D.1
Ruan, S.2
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