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Volumn , Issue , 2013, Pages

A delayed sir epidemic model with general incidence rate

Author keywords

General incidence rate; Global asymptotic stability; Lyapunov functional; SIR epidemic model; Time delay

Indexed keywords


EID: 84871869014     PISSN: None     EISSN: 14173875     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (135)

References (16)
  • 2
    • 0000998185 scopus 로고
    • Contribution to the mathematical theory of epidemics
    • W.O. Kermack, and A.G. Mckendric, Contribution to the mathematical theory of epidemics, Proc. R. Soc. Lond. Ser. A 115 (1927) 700-721.
    • (1927) Proc. R. Soc. Lond. Ser. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendric, A.G.2
  • 3
    • 79651474313 scopus 로고    scopus 로고
    • Global dynamics of vector-borne diseases with horizontal transmission in host population
    • A.A. Lashari, G. Zaman, Global dynamics of vector-borne diseases with horizontal transmission in host population, Comput. Math. Appl. 61 (2011) 745-754.
    • (2011) Comput. Math. Appl. , vol.61 , pp. 745-754
    • Lashari, A.A.1    Zaman, G.2
  • 4
    • 79953211808 scopus 로고    scopus 로고
    • Global dynamics of a mathematical model for HTLV-I infection of CD4+T-cells
    • L.M. Cai, X.Z. Li, M. Ghosh, Global dynamics of a mathematical model for HTLV-I infection of CD4+T-cells Applied Mathematical Modelling, 35(7)(2011) 3587-3595.
    • (2011) Applied Mathematical Modelling , vol.35 , Issue.7 , pp. 3587-3595
    • Cai, L.M.1    Li, X.Z.2    Ghosh, M.3
  • 5
    • 84863116687 scopus 로고    scopus 로고
    • Stability of an age-structured SEIS epidemic model with infectivity in incubative period
    • S.M. Guo, X.Z. Li, X.Y. Song, Stability of an age-structured SEIS epidemic model with infectivity in incubative period, International Journal of Biomathematics, 3(2010) 299-312.
    • (2010) International Journal of Biomathematics , vol.3 , pp. 299-312
    • Guo, S.M.1    Li, X.Z.2    Song, X.Y.3
  • 6
    • 78049284351 scopus 로고    scopus 로고
    • Global analysis of a vector-host epidemic model with nonlinear incidences
    • L.M. Cai, X.Z. Li, Global analysis of a vector-host epidemic model with nonlinear incidences, Applied Mathematics and Computation, 217(7) (2010), 3531-3541.
    • (2010) Applied Mathematics and Computation , vol.217 , Issue.7 , pp. 3531-3541
    • Cai, L.M.1    Li, X.Z.2
  • 7
    • 56049097426 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation in a delayed competition system
    • J. Zhanga, Z. Jinb, J. Yand, G. Sun Stability and Hopf bifurcation in a delayed competition system, Nonlinear Analysis 70 (2009) 658-670.
    • (2009) Nonlinear Analysis , vol.70 , pp. 658-670
    • Zhanga, J.1    Jinb, Z.2    Yand, J.3    Sun, G.4
  • 8
    • 77950845517 scopus 로고    scopus 로고
    • Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity
    • R. Xu, Z. Mab, Z. Wanga, Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity, Computers and Mathematics with Applications 59 (2010) 3211-3221.
    • (2010) Computers and Mathematics with Applications , vol.59 , pp. 3211-3221
    • Xu, R.1    Mab, Z.2    Wanga, Z.3
  • 9
    • 78149357135 scopus 로고    scopus 로고
    • Global stability of an HIV-1 infection model with saturation infection and intracellular delay
    • R. Xu, Global stability of an HIV-1 infection model with saturation infection and intracellular delay, J. Math. Anal. Appl. 375 (2011) 75-81.
    • (2011) J. Math. Anal. Appl. , vol.375 , pp. 75-81
    • Xu, R.1
  • 10
    • 79953187556 scopus 로고    scopus 로고
    • Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
    • G. Huang, W. Ma and Y. Takeuchi, Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response, Applied Mathematics Letters. 24(7) (2011), 1199-1203.
    • (2011) Applied Mathematics Letters. , vol.24 , Issue.7 , pp. 1199-1203
    • Huang, G.1    Ma, W.2    Takeuchi, Y.3
  • 11
    • 77951019829 scopus 로고    scopus 로고
    • Analysis of a HCV model with CTL and antibody responses
    • N. Yousfi, K. Hattaf, M. Rachik, Analysis of a HCV model with CTL and antibody responses, Applied Mathematical Sciences, Vol. 3, no. 57, (2009), 2835-2845.
    • (2009) Applied Mathematical Sciences , vol.3 , Issue.57 , pp. 2835-2845
    • Yousfi, N.1    Hattaf, K.2    Rachik, M.3
  • 12
    • 70350722240 scopus 로고    scopus 로고
    • Complete global stability for an SIR epidemic model with delay-distributed or discrete
    • C.C. McCluskey, Complete global stability for an SIR epidemic model with delay-distributed or discrete, Nonlinear Anal. Real World Appl. 11 (1) (2010) 55-59.
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , Issue.1 , pp. 55-59
    • McCluskey, C.C.1
  • 13
    • 84857158981 scopus 로고    scopus 로고
    • Global stability for delay SIR and SEIR epidemic models with saturated incidence rates
    • A. Abta, A. Kaddar, H.T. Alaoui, Global stability for delay SIR and SEIR epidemic models with saturated incidence rates, Electronic Journal of Differential Equations, 2012 (2012) 1-13.
    • (2012) Electronic Journal of Differential Equations , vol.2012 , pp. 1-13
    • Abta, A.1    Kaddar, A.2    Alaoui, H.T.3
  • 14
    • 84856533303 scopus 로고    scopus 로고
    • Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
    • K. Hattaf, N. Yousfi, A. Tridane, Mathematical analysis of a virus dynamics model with general incidence rate and cure rate, Nonlinear Analysis: Real World Applications, 13 (2012), 1866-1872.
    • (2012) Nonlinear Analysis: Real World Applications , vol.13 , pp. 1866-1872
    • Hattaf, K.1    Yousfi, N.2    Tridane, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.