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具有脉冲预防接种的SIRS传染病模型 被引量：4

The SIRS Epidemical Model with Impulsive Vaccinations
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摘要 研究具有脉冲预防接种且传染率是函数β(N)的SIRS传染病模型,利用脉冲比较原理,证明无病周期解的存在性和全局稳定性。得到结论:可以通过对脉冲接种比例的调整来控制阈值R2的数值,从而达到控制传染病蔓延的效果,其结论更具普遍意义。 The SIRS epidemical model with impulsive vaccinations is discussed, and the infective rate is function β （N）. The paper proved the existence and global stability of the disease - free periodic solution for impulsive comparative theorem and get the conclusion：it can control the threshold by adjusting impulsive vaccinations, then prevent the spreading of disease. The conclusion is common.
作者 熊佐亮 邹娓 王欣
机构地区 南昌大学数学系 南昌工程学院
出处 《南昌大学学报（理科版）》 CAS 北大核心 2008年第1期21-24,共4页 Journal of Nanchang University(Natural Science)
基金 江西省自然科学基金资助项目(0611084) 南昌工程学院青年基金项目(2006KJ035)
关键词 脉冲微分方程 周期解 传染病 预防接种 全局稳定性 impulsive differential equations periodic solution infectious disease vaccination global asymptotic sta-bility
分类号 O175.13 [理学—基础数学]
  • 相关文献

参考文献7

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共引文献34

同被引文献50

  • 1付景超,井元伟,张中华,张嗣瀛.具垂直传染和连续预防接种的SIRS传染病模型的研究[J].生物数学学报,2008,23(2):273-278. 被引量：33
  • 2高淑京,滕志东.一类具饱和传染力和常数输入的SIRS脉冲接种模型研究[J].生物数学学报,2008(2):209-217. 被引量：14
  • 3王拉娣,李建全.一类带有非线性传染率的SEIS传染病模型的定性分析[J].应用数学和力学,2006,27(5):591-596. 被引量：22
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  • 10Zhu Hui, Xiong Zuoliang, Wang Xin. Analysis of an Eco - epidemiological Model with Time Delay [ J ]. Rocky Mountain Journal of Mathematics,2008,38:1 877 - 1 886.

引证文献4

二级引证文献7

南昌大学学报（理科版）
2008年 第1期

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