-
1
-
-
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 359 380
-
(1987)
J. Math. Biol.
, vol.25
, pp. 359-380
-
-
Liu, W.M.1
Hethcote, H.W.2
Levin, S.A.3
-
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
-
-
34547134261
-
Global analysis of an epidemic model with nonmonotone incidence rate
-
D.M. Xiao, and S.G. 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.M.1
Ruan, S.G.2
-
4
-
-
33748152440
-
The epidemic threshold of vector-borne diseases with seasonality. The case of cutaneous leishmaniasis in Chichaoua
-
N. Bacaër, and S. Guernaoui The epidemic threshold of vector-borne diseases with seasonality. The case of cutaneous leishmaniasis in Chichaoua Morocco. J. Math. Biol. 53 3 2006 421 436
-
(2006)
Morocco. J. Math. Biol.
, vol.53
, Issue.3
, pp. 421-436
-
-
Bacaër, N.1
Guernaoui, S.2
-
5
-
-
0002008380
-
Chain transitivity, attractivity, and strong repellors for semidynamical systems
-
M.W. Hirsch, H.L. Smith, and X.Q. Zhao Chain transitivity, attractivity, and strong repellors for semidynamical systems J. Dynam. Differential Equations 13 2001 107 131
-
(2001)
J. Dynam. Differential Equations
, vol.13
, pp. 107-131
-
-
Hirsch, M.W.1
Smith, H.L.2
Zhao, X.Q.3
-
6
-
-
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 155 164
-
(1995)
Math. Biosci.
, vol.125
, pp. 155-164
-
-
Li, M.Y.1
Muldowney, J.S.2
-
7
-
-
34547736424
-
Dynamics of SEIS epidemic models with varying population size
-
J. Hui, and D.M. Zhu Dynamics of SEIS epidemic models with varying population size Internat. J. Bifur. Chaos Appl. 17 5 2007 1513 1529
-
(2007)
Internat. J. Bifur. Chaos Appl.
, vol.17
, Issue.5
, pp. 1513-1529
-
-
Hui, J.1
Zhu, D.M.2
-
8
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
P. van den Driessche, and J. Watmough Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Math. Biosci. 180 2002 29 38
-
(2002)
Math. Biosci.
, vol.180
, pp. 29-38
-
-
Van Den Driessche, P.1
Watmough, J.2
-
9
-
-
47149095789
-
Threshold dynamics for compartmental epidemic models in periodic environments
-
W.D. Wang, and X.Q. Zhao Threshold dynamics for compartmental epidemic models in periodic environments J. Dynam. Differential Equations 20 2008 699 717
-
(2008)
J. Dynam. Differential Equations
, vol.20
, pp. 699-717
-
-
Wang, W.D.1
Zhao, X.Q.2
-
10
-
-
25144476559
-
Nonlinear incidence and stability of infectious disease models
-
A. Korobeinikov, and P.K. Maini Nonlinear incidence and stability of infectious disease models Math. Med. Biol. 22 2005 113 128
-
(2005)
Math. Med. Biol.
, vol.22
, pp. 113-128
-
-
Korobeinikov, A.1
Maini, P.K.2
-
11
-
-
77955747979
-
Global properties of an improved hepatitis B virus model
-
K.F. Wang, A.J. Fan, and A. Torres Global properties of an improved hepatitis B virus model Nonlinear Anal. RWA 11 2010 3131 3138
-
(2010)
Nonlinear Anal. RWA
, vol.11
, pp. 3131-3138
-
-
Wang, K.F.1
Fan, A.J.2
Torres, A.3
-
12
-
-
77958019832
-
Global dynamics of delay epidemic models with nonlinear incidence rate and relapse
-
S.Q. Liu, S.K. Wang, and L. Wang Global dynamics of delay epidemic models with nonlinear incidence rate and relapse Nonlinear Anal. RWA 12 2011 119 127
-
(2011)
Nonlinear Anal. RWA
, vol.12
, pp. 119-127
-
-
Liu, S.Q.1
Wang, S.K.2
Wang, L.3
-
13
-
-
77950917649
-
The dynamics of an epidemic model for pest control with impulsive effect
-
L.M. Wang, L.S. Chen, and Juan J. Nieto The dynamics of an epidemic model for pest control with impulsive effect Nonlinear Anal. RWA 11 2010 1374 1386
-
(2010)
Nonlinear Anal. RWA
, vol.11
, pp. 1374-1386
-
-
Wang, L.M.1
Chen, L.S.2
Nieto, J.J.3
-
14
-
-
80052789013
-
A novel computer virus model and its dynamics
-
J. Ren, X. Yang, Q. Zhu, L.X. Yang, and C. Zhang A novel computer virus model and its dynamics Nonlinear Anal. RWA 13 2012 376 384
-
(2012)
Nonlinear Anal. RWA
, vol.13
, pp. 376-384
-
-
Ren, J.1
Yang, X.2
Zhu, Q.3
Yang, L.X.4
Zhang, C.5
-
15
-
-
70350369682
-
SEIQRS model for the transmission of malicious objects in computer network
-
B.K. Mishra, and N. Jha SEIQRS model for the transmission of malicious objects in computer network Appl. Math. Model. 34 2010 710 715
-
(2010)
Appl. Math. Model.
, vol.34
, pp. 710-715
-
-
Mishra, B.K.1
Jha, N.2
-
16
-
-
84055213613
-
Discrete-time simulation method for worm propagation model with pulse quarantine strategy
-
Y. Yao, H. Guo, G. Yu, and F.X. Gao Discrete-time simulation method for worm propagation model with pulse quarantine strategy Procedia Eng. 15 2011 4162 4167
-
(2011)
Procedia Eng.
, vol.15
, pp. 4162-4167
-
-
Yao, Y.1
Guo, H.2
Yu, G.3
Gao, F.X.4
-
17
-
-
77955517848
-
Fuzzy epidemic model for the transmission of worms in computer network
-
B.K. Mishra, and S.K. Pandey Fuzzy epidemic model for the transmission of worms in computer network Nonlinear Anal. RWA 11 2010 4335 4341
-
(2010)
Nonlinear Anal. RWA
, vol.11
, pp. 4335-4341
-
-
Mishra, B.K.1
Pandey, S.K.2
-
18
-
-
82255191358
-
A delayed computer virus propagation model and its dynamics
-
J. Ren, X. Yang, L.X. Yang, Y. Xu, and F. Yang A delayed computer virus propagation model and its dynamics Chaos Solitons Fractals 45 2012 74 79
-
(2012)
Chaos Solitons Fractals
, vol.45
, pp. 74-79
-
-
Ren, J.1
Yang, X.2
Yang, L.X.3
Xu, Y.4
Yang, F.5
-
19
-
-
0035050183
-
Global stability of an SEIS epidemic model with recruitment and a varying total population size
-
M. Fan, M.Y. Li, and K. Wang Global stability of an SEIS epidemic model with recruitment and a varying total population size Math. Biosci. 170 2001 199 208
-
(2001)
Math. Biosci.
, vol.170
, pp. 199-208
-
-
Fan, M.1
Li, M.Y.2
Wang, K.3
-
20
-
-
0037118226
-
Qualitative analysis of SIS epidemic model with vaccination and varying total population size
-
J. Li, and Z. Ma Qualitative analysis of SIS epidemic model with vaccination and varying total population size Math. Comput. Modelling 20 2002 1235 1243
-
(2002)
Math. Comput. Modelling
, vol.20
, pp. 1235-1243
-
-
Li, J.1
Ma, Z.2
-
22
-
-
0034486891
-
The mathematics of infectious diseases
-
H.W. Hethcote The mathematics of infectious diseases SIAM Rev. 42 2000 599 653
-
(2000)
SIAM Rev.
, vol.42
, pp. 599-653
-
-
Hethcote, H.W.1
-
23
-
-
70350714262
-
Global dynamics of a class of SEIRS epidemic models in a periodic environment
-
Y. Nakata, and T. Kuniya Global dynamics of a class of SEIRS epidemic models in a periodic environment J. Math. Anal. Appl. 363 2010 230 237
-
(2010)
J. Math. Anal. Appl.
, vol.363
, pp. 230-237
-
-
Nakata, Y.1
Kuniya, T.2
-
24
-
-
77950918483
-
An exact global solution for the classical epidemic model
-
L. Acedo, Gilberto González-Parra, and Abraham J. Arenas An exact global solution for the classical epidemic model Nonlinear Anal. RWA 11 2010 1819 1825
-
(2010)
Nonlinear Anal. RWA
, vol.11
, pp. 1819-1825
-
-
Acedo, L.1
González-Parra, G.2
Arenas, A.J.3
-
25
-
-
0018041874
-
A generation of the Kermack-McKendrick deterministic epidemic model
-
V. Capasso, and G. Serio A generation 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
-
26
-
-
26444475399
-
Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
-
M.G.M. Gomes, A. Margheri, G.F. Medley, and C. Rebelo Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence J. Math. Biol. 51 2005 414 430
-
(2005)
J. Math. Biol.
, vol.51
, pp. 414-430
-
-
Gomes, M.G.M.1
Margheri, A.2
Medley, G.F.3
Rebelo, C.4
-
27
-
-
0142212588
-
A model for vector transmitted diseases with saturation incidence
-
L. Esteva, and M. Matlas A model for vector transmitted diseases with saturation incidence J. Biol. Syst. 9 2001 235 245
-
(2001)
J. Biol. Syst.
, vol.9
, pp. 235-245
-
-
Esteva, L.1
Matlas, M.2
-
28
-
-
77958009390
-
The effect of incidence functions on the dynamics of a quarantine/isolation model with time delay
-
A.S. Mohammad, and B.G. Abba The effect of incidence functions on the dynamics of a quarantine/isolation model with time delay Nonlinear Anal. RWA 12 2011 215 235
-
(2011)
Nonlinear Anal. RWA
, vol.12
, pp. 215-235
-
-
Mohammad, A.S.1
Abba, B.G.2
-
29
-
-
77951206095
-
Stability analysis of a SEIQV epidemic model for rapid spreading worms
-
F.W. Wang, Y.K. Zhang, C.G. Wang, J.F. Ma, and S.J. Moon Stability analysis of a SEIQV epidemic model for rapid spreading worms Comput. Secur. 29 2010 410 418
-
(2010)
Comput. Secur.
, vol.29
, pp. 410-418
-
-
Wang, F.W.1
Zhang, Y.K.2
Wang, C.G.3
Ma, J.F.4
Moon, S.J.5
-
30
-
-
33846820429
-
Global stability for an special SEIR epidemic model with nonlinear incidence rates
-
C.J. Sun, Y.P. Lin, and S.P. Tang Global stability for an special SEIR epidemic model with nonlinear incidence rates Chaos Solitons Fractals 33 2007 290 297
-
(2007)
Chaos Solitons Fractals
, vol.33
, pp. 290-297
-
-
Sun, C.J.1
Lin, Y.P.2
Tang, S.P.3
-
32
-
-
0030544879
-
A geometric approach to global-stability problems
-
M.Y. Li, and J.S. Muldowney A geometric approach to global-stability problems SIAM J. Math. Anal. 27 1996 1070 1083
-
(1996)
SIAM J. Math. Anal.
, vol.27
, pp. 1070-1083
-
-
Li, M.Y.1
Muldowney, J.S.2
-
34
-
-
0016027180
-
Logarithmic norms and projections applied to linear differential systems
-
J.R. Martin Logarithmic norms and projections applied to linear differential systems J. Math. Anal. Appl. 45 1974 432 454
-
(1974)
J. Math. Anal. Appl.
, vol.45
, pp. 432-454
-
-
Martin, J.R.1
|