發(fā)布時間：2018-06-21 09:52

  本文選題：SIRS傳染病模型 + 出生脈沖　； 參考：《西南師范大學學報(自然科學版)》2017年09期

【摘要】：研究了一類具有出生脈沖,脈沖接種和飽和治愈率的SIRS傳染病模型.首先研究了無病周期解和非平凡周期解的存在性和穩(wěn)定性,得到了分支存在的條件,其次得到了一個Poincaré映射,運用Poincaré映射和中心流形定理討論染病周期解的Flip分支.
[Abstract]:A Sirs infectious disease model with birth pulse, pulse vaccination and saturated cure rate was studied. Firstly, the existence and stability of disease-free periodic solutions and nontrivial periodic solutions are studied, and the conditions for the existence of bifurcation are obtained. Then, a Poincar 茅 map is obtained. The Flip bifurcation of infected periodic solutions is discussed by using Poincar 茅 mapping and central manifold theorem.
【作者單位】： 山西師范大學數(shù)學與計算機科學學院;
【基金】：山西省自然科學基金項目(2013011002-2)
【分類號】：O175
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本文編號：2048179