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一类带有饱和感染率的时滞SIR传染病模型研究(英文) 被引量：4

Studies on a Delayed SIR Epidemic Model with Saturated Rate
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摘要 介绍一类带有饱和感染率的时滞SIR传染病模型,通过构造Lyapunov函数,研究了该模型平衡点的局部稳定性以及时滞对基本再生数的影响. A delayed SIR epidemic model with saturated rate is introduced. The local stabilities of its equilibria as well as the effects of delay on the reproduction number of the model are studied by constructing Lyapunov function.
作者 王霞 郭红涛
机构地区 信阳师范学院数学与信息科学学院
出处 《信阳师范学院学报（自然科学版）》 CAS 2011年第4期421-424,435,共5页 Journal of Xinyang Normal University(Natural Science Edition)
基金 The National Natural Science Foundation of China(10771179) the Scientific and Technological Project of Henan Province(092102210070) the Youth Science Foundations of Xinyang Normal University(20100070) the Young Backbone Teacher Foundation of the Education Department of Henan Province(2010GGJS-104)and Xinyang Normal University
关键词 SIR传染病模型 时滞 平衡点 稳定性 LYAPUNOV函数 SIR epidemic model delay equilibrium stability Lyapunov function.
分类号 O175.1 [理学—基础数学]
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参考文献8

  • 1王霞,郭振.一类具有时滞和非单调感染率传染病模型的局部性质[J].信阳师范学院学报（自然科学版）,2010,23(4):481-484. 被引量：2
  • 2王霞,江晓武.一类具有非线性脉冲接种的时滞SIR模型分析(英文)[J].信阳师范学院学报（自然科学版）,2009,22(3):325-328. 被引量：4
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共引文献4

同被引文献19

  • 1Wang W, Zhao X Q. Threshold dynamics for compartmental epidemic models in periodic environments[ J]. J Dynam Differential Equations, 2008 20 : 599-717.
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引证文献4

二级引证文献9

信阳师范学院学报（自然科学版）
2011年 第4期

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