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Volumn 34, Issue 5, 2007, Pages 1629-1635

A delayed SIRS epidemic model with pulse vaccination

Author keywords

[No Author keywords available]

Indexed keywords

DISEASES; EPIDEMIOLOGY; MATHEMATICAL MODELS; STROBOSCOPES; THEOREM PROVING; VACCINES;

EID: 34250220629     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.04.061     Document Type: Article
Times cited : (58)

References (20)
  • 1
    • 0026035347 scopus 로고
    • Measles: Killer of millions in developing countries: Strategies of elimination and continuation control
    • Sabin A.B. Measles: Killer of millions in developing countries: Strategies of elimination and continuation control. Eur J Epid 7 (1991) 1-22
    • (1991) Eur J Epid , vol.7 , pp. 1-22
    • Sabin, A.B.1
  • 2
    • 0037200435 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures
    • d'Onofrio A. Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures. Math Comput Model 36 (2002) 473-489
    • (2002) Math Comput Model , vol.36 , pp. 473-489
    • d'Onofrio, A.1
  • 3
    • 0032213158 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model
    • Shulgin B., Stone L., and Agur Z. Pulse vaccination strategy in the SIR epidemic model. Bull Math Biol 60 (1998) 1-26
    • (1998) Bull Math Biol , vol.60 , pp. 1-26
    • Shulgin, B.1    Stone, L.2    Agur, Z.3
  • 4
    • 0037195889 scopus 로고    scopus 로고
    • The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
    • Lu Z., Chi X., and Chen L. The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission. Math Comput Model 36 (2002) 1039-1057
    • (2002) Math Comput Model , vol.36 , pp. 1039-1057
    • Lu, Z.1    Chi, X.2    Chen, L.3
  • 5
    • 2942631566 scopus 로고    scopus 로고
    • Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
    • Hui J., and Chen L. Impulsive vaccination of SIR epidemic models with nonlinear incidence rates. Discrete and Continuous Dynamical Systems (Series B) 4 (2004) 595-605
    • (2004) Discrete and Continuous Dynamical Systems (Series B) , vol.4 , pp. 595-605
    • Hui, J.1    Chen, L.2
  • 6
    • 18544380939 scopus 로고    scopus 로고
    • Complexity of an SIR epidemic dynamics model with impulsive vaccination control
    • Zeng G., Chen L., and Sun L. Complexity of an SIR epidemic dynamics model with impulsive vaccination control. Chaos, Solitons & Fractals 26 (2005) 495-505
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 495-505
    • Zeng, G.1    Chen, L.2    Sun, L.3
  • 8
    • 18544368503 scopus 로고    scopus 로고
    • Prediction of SARS epidemic by BP neural networks with online prediction strategy
    • Bai Y., and Jin Z. Prediction of SARS epidemic by BP neural networks with online prediction strategy. Chaos, Solitons & Fractals 26 (2005) 559-569
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 559-569
    • Bai, Y.1    Jin, Z.2
  • 9
    • 0035427253 scopus 로고    scopus 로고
    • Optimal control of the genital herpes epidemic
    • Awad E.-G. Optimal control of the genital herpes epidemic. Chaos, Solitons & Fractals 12 (2001) 1817-1822
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 1817-1822
    • Awad, E.-G.1
  • 10
    • 1542380055 scopus 로고    scopus 로고
    • Global stability of an SEI epidemic model
    • Li G., and Jin Z. Global stability of an SEI epidemic model. Chaos, Solitons & Fractals 21 (2004) 925-931
    • (2004) Chaos, Solitons & Fractals , vol.21 , pp. 925-931
    • Li, G.1    Jin, Z.2
  • 11
    • 18844377907 scopus 로고    scopus 로고
    • A discrete epidemic model with stage structure
    • Li X., and Wang W. A discrete epidemic model with stage structure. Chaos, Solitons & Fractals 26 (2005) 947-958
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 947-958
    • Li, X.1    Wang, W.2
  • 12
    • 0028670078 scopus 로고
    • Chance and chaos in population biology-models of recurrent epidemics and food chain dynamics
    • Engbert R., and Drepper F.R. Chance and chaos in population biology-models of recurrent epidemics and food chain dynamics. Chaos, Solitons & Fractals 4 (1994) 1147-1169
    • (1994) Chaos, Solitons & Fractals , vol.4 , pp. 1147-1169
    • Engbert, R.1    Drepper, F.R.2
  • 13
    • 31244431921 scopus 로고    scopus 로고
    • Global behavior of an SEIRS epidemic model with time delays
    • Wang W. Global behavior of an SEIRS epidemic model with time delays. Appl Math Lett 15 (2002) 423-428
    • (2002) Appl Math Lett , vol.15 , pp. 423-428
    • Wang, W.1
  • 14
    • 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
  • 15
    • 31244431623 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
    • Korobeinikov A., and Wake G.C. Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Appl Math Lett 15 (2002) 955-960
    • (2002) Appl Math Lett , vol.15 , pp. 955-960
    • Korobeinikov, A.1    Wake, G.C.2
  • 16
    • 0019382844 scopus 로고
    • Stability in a cyclic epidemic models with delay
    • Smith H.L., and Williams M. Stability in a cyclic epidemic models with delay. J Math Biol 11 (1981) 95-103
    • (1981) J Math Biol , vol.11 , pp. 95-103
    • Smith, H.L.1    Williams, M.2
  • 17
    • 0029190838 scopus 로고
    • Global stability of an SIR epidemic model with time delays
    • Beretta E., and Takeuchi Y. Global stability of an SIR epidemic model with time delays. J Math Biol 33 (1995) 250-260
    • (1995) J Math Biol , vol.33 , pp. 250-260
    • Beretta, E.1    Takeuchi, Y.2
  • 18
    • 13644275724 scopus 로고    scopus 로고
    • Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
    • Kyrychko Y.N., and Blyuss K.B. Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate. Nonlinear Analysis: RealWorld Applications 6 (2005) 495-507
    • (2005) Nonlinear Analysis: RealWorld Applications , vol.6 , pp. 495-507
    • Kyrychko, Y.N.1    Blyuss, K.B.2
  • 19
    • 0019430734 scopus 로고
    • Global stability for population models
    • Cull P. Global stability for population models. Bull Math Biol 43 (1981) 47-58
    • (1981) Bull Math Biol , vol.43 , pp. 47-58
    • Cull, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.