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一个带接种重复感染两种病毒的流行病模型分析

Analysis of an epidemic model with vaccination and two-strain superinfection
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摘要 建立了一个具有充分接种和重复感染两种病毒的流行病模型,在合理的假设下,给出模型的两个基本再生数和两个侵入再生数,得到了模型的平衡点及其稳定性. This paper sets up two-strain superinfection epidemic model with the hypothesis of perfect vaccination . The representative formulas of the two basic reproduction numbers and the two invasion reproductive numbers are obtained. Under some suitable conditions, the model' s equilibriums and their stability respectively are given.
作者 张齐鹏
出处 《南阳师范学院学报》 CAS 2007年第6期1-4,共4页 Journal of Nanyang Normal University
关键词 两种病毒 重复感染 平衡点 再生数 稳定性 two-strain superinfection equilibrium the reproductive number stability
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参考文献4

  • 1Levin S A ,Pimentel D . Selection for intermediate rates of increase in parasite-host systems [J]. Am. Natural, 1981,117:308.
  • 2Miller R K. Nonlinear Volterra Integral Equations Mathematics Lecture Note Series [M]. W. A. Benjamin Inc. , Menlo Park, CA. ,1971.
  • 3Porco T , Blower S. HIV vaccines: the effect of the mode of action on the coexistence of HIV substypes [J]. Math. Popul. Studies, 2000,8:205-229.
  • 4张齐鹏.具有充分接种和共同感染两种病毒的流行病模型分析[J].南阳师范学院学报,2006,5(12):15-19. 被引量:1

二级参考文献5

  • 1Lin J,Andreasen V,Levin S.Dynamics of influenza A drift:the linear three-strain model[J].Math.Biosci.1992,162:33-51.
  • 2Levin S A,Pimentel D.Selection for intermediate rates of increase in parasite-host systems[J].Am.Natural,1981,117:308.
  • 3Mclean A R.Vaccination,evolution and changes in efficacy of vaccines:a theoretical framework[J].Proc.Royal.Soc.London B 1995,261:389-393.
  • 4Miller R K.Nonlinear Volterra Integral Equations Mathematics Lecture Note Series[J].W.A.Benjamin Inc.,Menlo Park,CA.1971.
  • 5Porco T,Blower S.HIV vaccines:the effect of the mode of action on the coexistence of HIV substypes[J].Math.Popul.Studies,2000,8:205-229.

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