| 一类具有饱和率与暂时免疫力的时滞的SIRS模型的局部稳定性 |
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| 引用本文： | 尹红云,黄冉冉,张道祥.一类具有饱和率与暂时免疫力的时滞的SIRS模型的局部稳定性[J].安徽师范大学学报(自然科学版),2012,35(2):115-118. |
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| 作者姓名： | 尹红云 黄冉冉 张道祥 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,安徽芜湖,241000;安徽师范大学数学计算机科学学院,安徽芜湖,241000;安徽师范大学数学计算机科学学院,安徽芜湖,241000 |
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| 基金项目： | Supported by Anhui University Provincial Natural Science Research Project,China(KJ2010B346);Outstanding Young Talent in University of Anhui Province,China(2010SQRL0256ZD,2011SQRL022ZD) |
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| 摘 要： | 考虑了一类具有饱和率与暂时免疫力的时滞的SIRS流行病模型.此处患病者具有暂时的免疫期,且经过一定周期后再回到易感者类.然后通过分析相应的特征方程,讨论无病平衡点和地方平衡点的局部稳定性.
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| 关 键 词： | SIRS流行病模型 局部稳定性 暂时免疫力 |
Local Stability of a Delayed SIRS Model With Saturation Incidence and Temporary Immunity |
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| YIN Hong-yun,DONG Ran-ran,ZHANG Dao-xiang.Local Stability of a Delayed SIRS Model With Saturation Incidence and Temporary Immunity[J].Journal of Anhui Normal University(Natural Science Edition),2012,35(2):115-118. |
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| Authors: | YIN Hong-yun DONG Ran-ran ZHANG Dao-xiang |
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| Institution: | (College of Mathematics and Computer Science,Anhui Normal University, Wuhu 241003,China) |
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| Abstract: | In this paper,we consider a delayed SIRS epidemic model with temporary immunity.The immunity gained by experiencing a disease is temporary,whenever infected the diseased individuals will return to the susceptible class after a fixed period.By analyzing the corresponding characteristic equations,the local stability of an endemic equilibrium and a disease-free equilibrium is discussed. |
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| Keywords: | SIRS epidemic model local stability temporary immunity |
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