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一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为

孟新柱 陈兰荪 宋治涛

孟新柱, 陈兰荪, 宋治涛. 一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为[J]. 应用数学和力学, 2007, 28(9): 1123-1134.
引用本文: 孟新柱, 陈兰荪, 宋治涛. 一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为[J]. 应用数学和力学, 2007, 28(9): 1123-1134.
MENG Xin-zhu, CHEN Lan-sun, SONG Zhi-tao. Global Dynamics Behaviors for a New Delay SEIR Epidemic Disease Model With Vertical Transmission and Pulse Vaccination[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1123-1134.
Citation: MENG Xin-zhu, CHEN Lan-sun, SONG Zhi-tao. Global Dynamics Behaviors for a New Delay SEIR Epidemic Disease Model With Vertical Transmission and Pulse Vaccination[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1123-1134.

一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为

基金项目: 国家自然科学基金资助项目(10471117)
详细信息
    作者简介:

    孟新柱(1972- ),男,山东定陶人,博士,副教授,从事生物数学研究(联系人.E-mail:mxz721106@sdust.edu.cn).

  • 中图分类号: O175

Global Dynamics Behaviors for a New Delay SEIR Epidemic Disease Model With Vertical Transmission and Pulse Vaccination

  • 摘要: 对一个带有有害时滞与垂直传染的SEIR传染病模型,在脉冲免疫接种条件下,分析了其动力学行为.运用离散动力系统的频闪映射,获得了一个‘无病’周期解,证明了当模型的一些参数在适当的条件下,该‘无病’周期解是全局吸引的.运用脉冲时滞泛函微分方程理论,获得了含有时滞的持久性的充分条件,并且证明了时滞、脉冲免疫与垂直传染对模型的动力学行为能够产生显著的影响.结论表明该时滞是“有害”时滞.
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出版历程
  • 收稿日期:  2007-01-23
  • 修回日期:  2007-04-16
  • 刊出日期:  2007-09-15

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