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Volumn 40, Issue 1, 2009, Pages 145-158

Global stability of an SIRS epidemic model with transport-related infection

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CELL PROLIFERATION;

EID: 64549114893     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.07.047     Document Type: Article
Times cited : (45)

References (23)
  • 1
    • 0000998185 scopus 로고
    • Contributions to the mathematical theory of epidemics
    • Kermark M., and Mckendrick A. Contributions to the mathematical theory of epidemics. Proc Roy Soc A 115 (1927) 700-721
    • (1927) Proc Roy Soc A , vol.115 , pp. 700-721
    • Kermark, M.1    Mckendrick, A.2
  • 2
    • 33846366034 scopus 로고    scopus 로고
    • Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
    • Zhou Y., Xiao D., and Li Y. Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action. Chaos, Solitons & Fractals 32 (2007) 1903-1915
    • (2007) Chaos, Solitons & Fractals , vol.32 , pp. 1903-1915
    • Zhou, Y.1    Xiao, D.2    Li, Y.3
  • 3
    • 18444376767 scopus 로고    scopus 로고
    • Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period
    • Li G., and Jin Z. Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period. Chaos, Solitons & Fractals 25 (2005) 1177-1184
    • (2005) Chaos, Solitons & Fractals , vol.25 , pp. 1177-1184
    • Li, G.1    Jin, Z.2
  • 4
    • 34250220629 scopus 로고    scopus 로고
    • A delayed SIRS epidemic model with pulse vaccination
    • Pang G, Chen L. A delayed SIRS epidemic model with pulse vaccination. Chaos, Solitons & Fractals 2007;34(5):1629-1635.
    • (2007) Chaos, Solitons & Fractals , vol.34 , Issue.5 , pp. 1629-1635
    • Pang, G.1    Chen, L.2
  • 5
    • 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 Theor Biol 227 (2004) 369-379
    • (2004) J Theor Biol , vol.227 , pp. 369-379
    • Wang, W.1    Ruan, S.2
  • 6
    • 0022394032 scopus 로고
    • A mathematical model for the global spread of influenza
    • Rvachev L., and Longini I. A mathematical model for the global spread of influenza. Math Biosci 75 (1985) 3-22
    • (1985) Math Biosci , vol.75 , pp. 3-22
    • Rvachev, L.1    Longini, I.2
  • 7
    • 0000099291 scopus 로고
    • A mathematical model for predicting the geographic spread of new infectious agents
    • Longini I. A mathematical model for predicting the geographic spread of new infectious agents. Math Biosci 90 (1988) 367-383
    • (1988) Math Biosci , vol.90 , pp. 367-383
    • Longini, I.1
  • 8
    • 0028989477 scopus 로고
    • Structured epidemic models incorporating geographic mobility among regions
    • Sattenspiel L., and Dietz K. Structured epidemic models incorporating geographic mobility among regions. Math Biosci 128 (1995) 71-91
    • (1995) Math Biosci , vol.128 , pp. 71-91
    • Sattenspiel, L.1    Dietz, K.2
  • 9
    • 0032007320 scopus 로고    scopus 로고
    • Structured epidemic models and the spread of influenza in the central Canada subarctic
    • Sattenspiel L., and Herring D.A. Structured epidemic models and the spread of influenza in the central Canada subarctic. Human Biol 70 (1998) 91-115
    • (1998) Human Biol , vol.70 , pp. 91-115
    • Sattenspiel, L.1    Herring, D.A.2
  • 10
    • 0037270606 scopus 로고    scopus 로고
    • Simulating the effect of quarantine on the spread of the 1918-1919 flu in central Canada
    • Sattenspiel L., and Herring D.A. Simulating the effect of quarantine on the spread of the 1918-1919 flu in central Canada. Bull Math Biol 65 (2003) 1-26
    • (2003) Bull Math Biol , vol.65 , pp. 1-26
    • Sattenspiel, L.1    Herring, D.A.2
  • 11
    • 0141850338 scopus 로고    scopus 로고
    • Threshold of disease transmission in a patch environment
    • Wang W., and Mulone G. Threshold of disease transmission in a patch environment. J Math Anal Appl 285 (2003) 321-335
    • (2003) J Math Anal Appl , vol.285 , pp. 321-335
    • Wang, W.1    Mulone, G.2
  • 12
    • 2542463400 scopus 로고    scopus 로고
    • An epidemic model in a patchy environment
    • Wang W., and Zhao X.-Q. An epidemic model in a patchy environment. Math Biosci 190 (2004) 97-112
    • (2004) Math Biosci , vol.190 , pp. 97-112
    • Wang, W.1    Zhao, X.-Q.2
  • 13
    • 27144466843 scopus 로고    scopus 로고
    • An age-structured epidemic model in a patchy environment
    • Wang W., and Zhao X.-Q. An age-structured epidemic model in a patchy environment. SIAM J Appl Math 65 (2005) 1597-1614
    • (2005) SIAM J Appl Math , vol.65 , pp. 1597-1614
    • Wang, W.1    Zhao, X.-Q.2
  • 15
    • 33745222283 scopus 로고    scopus 로고
    • Global stability of an SEIR epidemic model with constant immigration
    • Li G., Wang W., and Jin Z. Global stability of an SEIR epidemic model with constant immigration. Chaos, Solitons & Fractals 30 (2006) 1012-1019
    • (2006) Chaos, Solitons & Fractals , vol.30 , pp. 1012-1019
    • Li, G.1    Wang, W.2    Jin, Z.3
  • 16
    • 33644916450 scopus 로고    scopus 로고
    • Spreading disease with transport-related infection
    • Cui J., Takeuchi Y., and Saito Y. Spreading disease with transport-related infection. J Theor Biol 239 (2006) 376-390
    • (2006) J Theor Biol , vol.239 , pp. 376-390
    • Cui, J.1    Takeuchi, Y.2    Saito, Y.3
  • 17
    • 33747184217 scopus 로고    scopus 로고
    • Spread of disease with transport-related infection and entry screening
    • Liu X., and Takeuchi Y. Spread of disease with transport-related infection and entry screening. J Theor Biol 242 (2006) 517-528
    • (2006) J Theor Biol , vol.242 , pp. 517-528
    • Liu, X.1    Takeuchi, Y.2
  • 18
    • 33846578358 scopus 로고    scopus 로고
    • Global dynamics of SIS models with transport-related infection
    • doi:10.1016/j.jmaa.2006.07.057
    • Takeuchi Y, Liu X, Cui J. Global dynamics of SIS models with transport-related infection. J Math Anal Appl doi:10.1016/j.jmaa.2006.07.057.
    • J Math Anal Appl
    • Takeuchi, Y.1    Liu, X.2    Cui, J.3
  • 20
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • Van Den Driessche P., and Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180 (2002) 29-48
    • (2002) Math Biosci , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 21
    • 0039591930 scopus 로고
    • Persistence under relaxed point-dissipativity (with application to an endemic model)
    • Thieme H.R. 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, H.R.1
  • 22
    • 0041474671 scopus 로고    scopus 로고
    • Virus dynamics: a global analysis
    • Leenheer P.D., 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
    • Leenheer, P.D.1    Smith, H.L.2
  • 23
    • 77952672921 scopus 로고
    • Covergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
    • Thieme H.R. Covergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. J Math Biol 30 (1992) 755-763
    • (1992) J Math Biol , vol.30 , pp. 755-763
    • Thieme, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.