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Volumn 13, Issue 6, 2012, Pages 2671-2679

Stability analysis of an SEIQV epidemic model with saturated incidence rate

Author keywords

Basic reproduction number; Disease free equilibrium; Endemic equilibrium; Epidemic model; Stability

Indexed keywords

BASIC REPRODUCTION NUMBER; DISEASE-FREE EQUILIBRIUM; ENDEMIC EQUILIBRIUM; EPIDEMIC MODELS; GLOBALLY ASYMPTOTICALLY STABLE; INCIDENCE RATE; STABILITY ANALYSIS;

EID: 84861937759     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2012.03.010     Document Type: Article
Times cited : (116)

References (34)
  • 1
    • 0023070210 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 15
    • 70350369682 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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


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