一类具有脉冲作用与饱和治愈率的SIRS模型的分析
On Analysis of an SIRS Model with Impulsive Effect and Saturated Treatment Rate
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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.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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