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Volumn 33, Issue 7, 2009, Pages 2919-2926

Analysis of a SEIV epidemic model with a nonlinear incidence rate

Author keywords

Epidemic model; Global stability; Nonlinear incidence rate; Uniformly persistence

Indexed keywords

ASYMPTOTIC ANALYSIS; STRUCTURES (BUILT OBJECTS); SYSTEM STABILITY;

EID: 61449181521     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2008.01.005     Document Type: Article
Times cited : (62)

References (26)
  • 1
    • 0033114058 scopus 로고    scopus 로고
    • Immunization and vaccine-preventable illness, Unites States, 1992-1997
    • Teitelbaulm M.A., and Edmunds M. Immunization and vaccine-preventable illness, Unites States, 1992-1997. Stat. Bull. Metrop. Insur. Co. 80 2 (1999) 13-20
    • (1999) Stat. Bull. Metrop. Insur. Co. , vol.80 , Issue.2 , pp. 13-20
    • Teitelbaulm, M.A.1    Edmunds, M.2
  • 4
    • 0015711463 scopus 로고
    • Recurrent outbreaks of measles, chickenpox and mumps II
    • Yorke J.A., and London W.P. Recurrent outbreaks of measles, chickenpox and mumps II. Am. J. Epidemiol. 98 (1973) 469-482
    • (1973) Am. J. Epidemiol. , vol.98 , pp. 469-482
    • Yorke, J.A.1    London, W.P.2
  • 5
    • 0023070210 scopus 로고
    • 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
  • 6
    • 0022298258 scopus 로고
    • 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
  • 7
    • 0018041874 scopus 로고
    • 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
  • 8
    • 0037429355 scopus 로고    scopus 로고
    • 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. Differen. Equat. 188 (2003) 135-163
    • (2003) J. Differen. Equat. , vol.188 , pp. 135-163
    • Ruan, S.1    Wang, W.2
  • 9
    • 34547134261 scopus 로고    scopus 로고
    • Global analysis of an epidemic model with nonmonotone incidence rate
    • Xiao D., and Ruan S. 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
  • 10
    • 40649109547 scopus 로고    scopus 로고
    • Pulse vaccination delayed SEIRS epidemic model with saturation incidence
    • Zhang T., and Teng Z. Pulse vaccination delayed SEIRS epidemic model with saturation incidence. Appl. Math. Model. 32 (2008) 1403-1416
    • (2008) Appl. Math. Model. , vol.32 , pp. 1403-1416
    • Zhang, T.1    Teng, Z.2
  • 11
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote H.W. The mathematics of infectious diseases. SIAM Rev. 42 (2000) 599-653
    • (2000) SIAM Rev. , vol.42 , pp. 599-653
    • Hethcote, H.W.1
  • 12
    • 0034198679 scopus 로고    scopus 로고
    • 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
  • 13
    • 1642341634 scopus 로고    scopus 로고
    • Periodicity in an epidemic model with a generalized nonlinear incidence
    • Alexander M.E., and Moghadas S.M. Periodicity in an epidemic model with a generalized nonlinear incidence. Math. Biosci. 189 (2004) 75-96
    • (2004) Math. Biosci. , vol.189 , pp. 75-96
    • Alexander, M.E.1    Moghadas, S.M.2
  • 14
    • 27844516471 scopus 로고    scopus 로고
    • Bifurcation analysis of an SIRS Epidemic model with generalized incidence
    • Alexander M.E., and Moghadas S.M. 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
  • 15
    • 0039591930 scopus 로고
    • Persistence under relaxed point-dissipativity (with application to an endemic model)
    • Thieme R.H. Persistence under relaxed point-dissipativity (with application to an endemic model). SIAM J. Math. Anal. 24 (1993) 407-435
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 407-435
    • Thieme, R.H.1
  • 16
  • 17
    • 84968495017 scopus 로고
    • Uniformly persistent semidynamical systems
    • Fonda A. Uniformly persistent semidynamical systems. Proc. Amer. Math. Soc. 104 (1988) 111-116
    • (1988) Proc. Amer. Math. Soc. , vol.104 , pp. 111-116
    • Fonda, A.1
  • 18
    • 10644240707 scopus 로고    scopus 로고
    • Global stability of an SIR epidemic model with time delay
    • Ma W., Song M., and Takeuchi Y. Global stability of an SIR epidemic model with time delay. Appl. Math. Lett. 17 (2004) 1141-1145
    • (2004) Appl. Math. Lett. , vol.17 , pp. 1141-1145
    • Ma, W.1    Song, M.2    Takeuchi, Y.3
  • 19
    • 0041474671 scopus 로고    scopus 로고
    • Virus dynamics: a global analysis
    • De Leenheer P., and Smith H.L. Virus dynamics: a global analysis. SIAM J. Appl. Math. 63 (2003) 1313-1327
    • (2003) SIAM J. Appl. Math. , vol.63 , pp. 1313-1327
    • De Leenheer, P.1    Smith, H.L.2
  • 20
    • 33747198005 scopus 로고    scopus 로고
    • A stage-structured predator-prey model of Beddington-DeAngelis type
    • Liu S., and Beretta E. A stage-structured predator-prey model of Beddington-DeAngelis type. SIAM J. Appl. Math. 66 (2006) 1101-1129
    • (2006) SIAM J. Appl. Math. , vol.66 , pp. 1101-1129
    • Liu, S.1    Beretta, E.2
  • 21
    • 4944222203 scopus 로고    scopus 로고
    • Persistence and global stability of a ratio-dependent predator-prey model with stage structure
    • Xu R., Chaplain M.A.J., and Davidson F.A. Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Appl. Math. Comput. 158 (2004) 729-744
    • (2004) Appl. Math. Comput. , vol.158 , pp. 729-744
    • Xu, R.1    Chaplain, M.A.J.2    Davidson, F.A.3
  • 22
    • 33846621553 scopus 로고    scopus 로고
    • Permanence and stability of a predator-prey system with stage-structure for predator
    • Cai L., and Song X. Permanence and stability of a predator-prey system with stage-structure for predator. J. Comput. Appl. Math. 201 (2007) 356-366
    • (2007) J. Comput. Appl. Math. , vol.201 , pp. 356-366
    • Cai, L.1    Song, X.2
  • 23
    • 0030544879 scopus 로고    scopus 로고
    • A geometric approach to the global-stability problems
    • Li M.Y., and Muldowney J.S. A geometric approach to the 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
  • 25
    • 84968505772 scopus 로고
    • Persistence in dynamical systems
    • Butler G.J., and Waltman P. Persistence in dynamical systems. Proc. Am. Math. Soc. 96 (1986) 425-430
    • (1986) Proc. Am. Math. Soc. , vol.96 , pp. 425-430
    • Butler, G.J.1    Waltman, P.2
  • 26
    • 0016027180 scopus 로고
    • Logarithmic norms and projections applied to linear differential systems
    • Martin Jr. R.H. 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 Jr., R.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.