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分析具有脉冲接种的时滞的传染病模型的研究

郭 莹
黑龙江工业学院 现代制造工程学院

摘要


研究具有脉冲接种的时滞性SIRS传染病模型.运用比较原理,得到SIRS传染病模型的无病周期解的全局渐近稳定性一些充分条件.

关键词


脉冲接种; SIRS 模型;全局渐近稳定.

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参考


[1]Lakshmikantham.V,Bainov.D.D,Simeonov.P.C,Theory of Impulsive Differential E-quations[J]. Singapore,World Scientific,1989.[2]Teng.Z,Zhang.T,Extinction and permanence for a pulse vaccination delayed SEIRS epidemic model[J].Chaos Solit Frac,2009,39:2411-2425.[3]Bainov.D, Simeonov.P, Impulsive Differential Equations: Periodic Solutions and Appli- cations[J].Pitman Monographs and Surveys in Pure and Applied Mathematics,V1993,66.[4]Onofrio.D.A,Mixed pulse vaccination strategy in epidemic model with realistic distributed infectious and latent times[J].Appl Math Comput,2004,151:181-187.[5]Kermack.W,McKenderick.A.Contributions to the mathematical theory of epidemics[J].Proc. Roy.Soc., A141(1933),94-122.




DOI: http://dx.doi.org/10.18686/jyyjuy.v3i4.50371

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