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Volumn 2012, Issue , 2012, Pages

Global stability for delay SIR and SEIR epidemic models with saturated incidence rates

Author keywords

Delay differential equations; Global stability; Incidence rate; Lyapunov function; SEIR epidemic model; SIR epidemic model

Indexed keywords


EID: 84857158981     PISSN: None     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (49)

References (27)
  • 1
    • 0000675649 scopus 로고
    • Regulation and stability of host-parasite population interactions: I. Regulatory processes
    • R. M. Anderson, R. M. May; Regulation and stability of host-parasite population interactions: I. Regulatory processes, The Journal of Animal Ecology, Vol. 47, no. 1, pp. 219-267, 1978.
    • (1978) The Journal of Animal Ecology , vol.47 , Issue.1 , pp. 219-267
    • Anderson, R.M.1    May, R.M.2
  • 2
    • 0018041874 scopus 로고
    • A generalization of Kermack-Mckendrick deterministic epidemic model
    • V. Capasso, G. Serio; A generalization of Kermack-Mckendrick deterministic epidemic model, Math. Biosci. Vol. 42, pp. 41-61, 1978.
    • (1978) Math. Biosci. , vol.42 , pp. 41-61
    • Capasso, V.1    Serio, G.2
  • 4
    • 0003100558 scopus 로고
    • Stability analysis for a vector disease model
    • K. L. Cooke; Stability analysis for a vector disease model, Rocky Mountain Journal of mathematics, Vol. 9, no. 1, pp. 31-42, 1979.
    • (1979) Rocky Mountain Journal of mathematics , vol.9 , Issue.1 , pp. 31-42
    • Cooke, K.L.1
  • 10
    • 33746833233 scopus 로고    scopus 로고
    • Analysis of a delayed epidemic model with pulse vaccination and saturation incidence
    • S. Gao, L. Chen, J. J. Nieto, A. Torres; Analysis of a delayed epidemic model with pulse vaccination and saturation incidence, Vaccine, Vol. 24, no. 35-36, pp. 6037-6045, 2006.
    • (2006) Vaccine , vol.24 , Issue.35-36 , pp. 6037-6045
    • Gao, S.1    Chen, L.2    Nieto, J.J.3    Torres, A.4
  • 13
    • 79958771385 scopus 로고    scopus 로고
    • Global Analysis on Delay Epidemiological Dynamic Models with Nonlinear Incidence
    • G. Huang, Y. Takeuchi; Global Analysis on Delay Epidemiological Dynamic Models with Nonlinear Incidence, Journal of Mathematical Biology, (2011) 63(1), p. 125-139.
    • (2011) Journal of Mathematical Biology , vol.63 , Issue.1 , pp. 125-139
    • Huang, G.1    Takeuchi, Y.2
  • 14
    • 34548618836 scopus 로고    scopus 로고
    • Stability and bifurcation analysis in a delayed SIR model
    • Z. Jiang, J. Wei; Stability and bifurcation analysis in a delayed SIR model, Chaos, Solitons and Fractals, Vol. 35, pp. 609-619, 2008.
    • (2008) Chaos, Solitons and Fractals , vol.35 , pp. 609-619
    • Jiang, Z.1    Wei, J.2
  • 16
    • 33746594608 scopus 로고    scopus 로고
    • Lyapunov Functions and Global Stability for SIR and SIRS Epidemiological Models with Non-linear Transmission
    • A. Korobeinikov; Lyapunov Functions and Global Stability for SIR and SIRS Epidemiological Models with Non-linear Transmission, Bulletin of Mathematical biology (2006) 30: 615-626.
    • (2006) Bulletin of Mathematical biology , vol.30 , pp. 615-626
    • Korobeinikov, A.1
  • 17
    • 27244439640 scopus 로고    scopus 로고
    • A Lyapunov Function and Global Propreties for SIR and SEIR Epidemiological Models With Nonlinear Incidence
    • June
    • A. Korobeinikov, Philip K. Maini; A Lyapunov Function and Global Propreties for SIR and SEIR Epidemiological Models With Nonlinear Incidence, Mathamatical Biosciences and Engineering Volume 1, Number 1, June 2004 p. 57-60.
    • (2004) Mathamatical Biosciences and Engineering , vol.1 , Issue.1 , pp. 57-60
    • Korobeinikov, A.1    Philip Maini, K.2
  • 18
    • 13644275724 scopus 로고    scopus 로고
    • Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
    • Y. Kyrychko, B. Blyuss; Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate, Nonlinear Anal.: Real World Appl, Vol. 6, pp. 495-507, 2005.
    • (2005) Nonlinear Anal.: Real World Appl , vol.6 , pp. 495-507
    • Kyrychko, Y.1    Blyuss, B.2
  • 19
    • 33947154264 scopus 로고    scopus 로고
    • Dynamic behavior of a parasite-host model with general incidence
    • G. Li, W. Wang, K. Wang, Z. Jin; Dynamic behavior of a parasite-host model with general incidence, J. Math. Anal. Appl., pp. 631-643, 2007.
    • (2007) J. Math. Anal. Appl. , pp. 631-643
    • Li, G.1    Wang, W.2    Wang, K.3    Jin, Z.4
  • 20
    • 33846820429 scopus 로고    scopus 로고
    • Global stability special an special SEIR epidemic model with nonlinear incidence rates
    • C. Sun, Y. Lin, S. Tang; Global stability special an special SEIR epidemic model with nonlinear incidence rates, Chaos, Solitions and Fractals 33 (2007) 290-297.
    • (2007) Chaos, Solitions and Fractals , vol.33 , pp. 290-297
    • Sun, C.1    Lin, Y.2    Tang, S.3
  • 21
    • 1542406443 scopus 로고    scopus 로고
    • Bifurcation in epidemic model with constant removal rate infectives
    • W. Wang, S. Ruan; Bifurcation in epidemic model with constant removal rate infectives, Journal of Mathematical Analysis and Applications, Vol. 291, pp. 775-793,2004.
    • (2004) Journal of Mathematical Analysis and Applications , vol.291 , pp. 775-793
    • Wang, W.1    Ruan, S.2
  • 23
    • 67649304819 scopus 로고    scopus 로고
    • Stability of a delayed SIRS epidemic model with a nonlinear incidence rate
    • R. Xu, Z. Ma; Stability of a delayed SIRS epidemic model with a nonlinear incidence rate, Chaos, Solitons and Fractals, Vol. 41, Iss. 5, pp. 2319-2325, 2009.
    • (2009) Chaos, Solitons and Fractals , vol.41 , Issue.5 , pp. 2319-2325
    • Xu, R.1    Ma, Z.2
  • 24
    • 0015711463 scopus 로고
    • Recurrent outbreak of measles, Chickenpox and mumps: II
    • J. A. Yorke, W. P. London; Recurrent outbreak of measles, Chickenpox and mumps: II, Am. J. Epidemiol., Vol. 98, pp. 469-482, 1981.
    • (1981) Am. J. Epidemiol. , vol.98 , pp. 469-482
    • Yorke, J.A.1    London, W.P.2
  • 26
    • 41949125685 scopus 로고    scopus 로고
    • Global stability of an SIR epidemic model with constant infectious period
    • F. Zhang, Z. Z. Li, F. Zhang; Global stability of an SIR epidemic model with constant infectious period, Applied Mathematics and Computation, Vol. 199, pp. 285-291, 2008.
    • (2008) Applied Mathematics and Computation , vol.199 , pp. 285-291
    • Zhang, F.1    Li, Z.Z.2    Zhang, F.3
  • 27
    • 0141615743 scopus 로고    scopus 로고
    • Stability of periodic solutions for an SIS model with pulse vaccination
    • Y. Zhou, H. Liu; Stability of periodic solutions for an SIS model with pulse vaccination, Mathematical and Computer Modelling, Vol. 38, pp. 299-308, 2003.
    • (2003) Mathematical and Computer Modelling , vol.38 , pp. 299-308
    • Zhou, Y.1    Liu, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.