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Volumn 208, Issue 2, 2007, Pages 419-429

Global analysis of an epidemic model with nonmonotone incidence rate

Author keywords

Epidemic; Global stability; Nonlinear incidence; Psychological effect

Indexed keywords

DISEASES; ECOSYSTEMS; MATHEMATICAL MODELS; PSYCHOLOGY COMPUTING;

EID: 34547134261     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2006.09.025     Document Type: Article
Times cited : (483)

References (14)
  • 1
    • 1642341634 scopus 로고    scopus 로고
    • 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
    • (2004) Math. Biosci. , vol.189 , pp. 75
    • Alexander, M.E.1    Moghadas, S.M.2
  • 2
    • 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
    • (1978) Math. Biosci. , vol.42 , pp. 43
    • Capasso, V.1    Serio, G.2
  • 3
    • 0027429258 scopus 로고
    • 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
    • (1993) J. Math. Biol. , vol.31 , pp. 495
    • Derrick, W.R.1    van den Driessche, P.2
  • 4
    • 16644369677 scopus 로고    scopus 로고
    • Modelling strategies for controlling SARS outbreaks
    • Gumel A.B., et al. Modelling strategies for controlling SARS outbreaks. Proc. R. Soc. Lond. B 271 (2004) 2223
    • (2004) Proc. R. Soc. Lond. B , vol.271 , pp. 2223
    • Gumel, A.B.1
  • 5
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious disease
    • Hethcote H.W. The mathematics of infectious disease. SIAM Rev. 42 (2000) 599
    • (2000) SIAM Rev. , vol.42 , pp. 599
    • Hethcote, H.W.1
  • 6
    • 0000236256 scopus 로고
    • Periodicity in epidemiological models
    • Gross L., Hallam T.G., and Levin S.A. (Eds), Springer-Verlag, Berlin
    • Hethcote H.W., and Levin S.A. Periodicity in epidemiological models. In: Gross L., Hallam T.G., and Levin S.A. (Eds). Applied Mathematical Ecology (1989), Springer-Verlag, Berlin 193
    • (1989) Applied Mathematical Ecology , pp. 193
    • Hethcote, H.W.1    Levin, S.A.2
  • 7
    • 0025985745 scopus 로고
    • Some epidemiological models with nonlinear incidence
    • Hethcote H.W., and van den Driessche P. Some epidemiological models with nonlinear incidence. J. Math. Biol. 29 (1991) 271
    • (1991) J. Math. Biol. , vol.29 , pp. 271
    • Hethcote, H.W.1    van den Driessche, P.2
  • 8
    • 0242404372 scopus 로고    scopus 로고
    • The impact of community psychological response on outbreak control for severe acute respiratory syndrome in Hong Kong
    • Leung G.M., et al. The impact of community psychological response on outbreak control for severe acute respiratory syndrome in Hong Kong. J. Epidemiol. Commun. Health 57 (2003) 857
    • (2003) J. Epidemiol. Commun. Health , vol.57 , pp. 857
    • Leung, G.M.1
  • 9
    • 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
    • (1987) J. Math. Biol. , vol.25 , pp. 359
    • Liu, W.M.1    Hethcote, H.W.2    Levin, S.A.3
  • 10
    • 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
    • (1986) J. Math. Biol. , vol.23 , pp. 187
    • Liu, W.M.1    Levin, S.A.2    Iwasa, Y.3
  • 12
    • 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. Differ. Equations 188 (2003) 135
    • (2003) J. Differ. Equations , vol.188 , pp. 135
    • Ruan, S.1    Wang, W.2
  • 13
    • 1542298927 scopus 로고    scopus 로고
    • Simulating the SARS outbreak in Beijing with limited data
    • Wang W., and Ruan S. Simulating the SARS outbreak in Beijing with limited data. J. Theoret. Biol. 227 (2004) 369
    • (2004) J. Theoret. Biol. , vol.227 , pp. 369
    • Wang, W.1    Ruan, S.2
  • 14
    • 34547115262 scopus 로고    scopus 로고
    • Z.-F. Zhang, T.-R. Ding, W.-Z. Huang, Z.-X. Dong, Qualitative theory of differential equations, Transl. Math. Monogr. vol. 101, Amer. Math. Soc., Providence, 1992.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.