| 一类具有脉冲作用与饱和治愈率的SIRS模型的分析 |
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| 引用本文： | 王杏,、贾建文.一类具有脉冲作用与饱和治愈率的SIRS模型的分析[J].西南师范大学学报(自然科学版),2017,42(9). |
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| 作者姓名： | 王杏 、贾建文 |
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| 基金项目： | 山西省自然科学基金项目 |
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| 摘 要： | 研究了一类具有出生脉冲,脉冲接种和饱和治愈率的SIRS传染病模型.首先研究了无病周期解和非平凡周期解的存在性和稳定性,得到了分支存在的条件,其次得到了一个Poincaré映射,运用Poincaré映射和中心流形定理讨论染病周期解的Flip分支.
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| 关 键 词： | SIRS传染病模型 出生脉冲 饱和治愈率 周期解 分支 |
On Analysis of an SIRS Model with Impulsive Effect and Saturated Treatment Rate |
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| WANG Xing,JIA Jian-wen.On Analysis of an SIRS Model with Impulsive Effect and Saturated Treatment Rate[J].Journal of Southwest China Normal University(Natural Science),2017,42(9). |
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| Authors: | WANG Xing JIA Jian-wen |
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| Abstract: | In this paper,the dynamical behavior of an SIR epidemic model with birth pulse,pulse vaccination and limited medical resources has beenstudied.This paper investigates the existence and stability of the infection-free periodic solution and the epidemic periodic solution.The conditions required for the ex istence of supercritical bifurcation have also been derived.The poincare map and center manifold theoremare used to discuss flip bifurcation of the epidemic periodic solution. |
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