| 一类SIQR流行病模型的动力学分析 |
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| 引用本文： | 李永亮.一类SIQR流行病模型的动力学分析[J].湖北民族学院学报(哲学社会科学版),2012(3):250-253. |
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| 作者姓名： | 李永亮 |
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| 作者单位： | 湖北民族学院 数学系 |
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| 基金项目： | 湖北省中青年项目(Q20101903) |
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| 摘 要： | 通过微分模型,对一类对染病者进行隔离的SIQR模型进行了研究,获得了SIQR传染病模型基本再生数R0,得到了SIQS模型的无病平衡点以及地方平衡点;证明了无病平衡点总是存在的,且当R0≤1时是全局渐近稳定的,R0>1时无病平衡点是不稳定的;当R0>1时,还存在地方病平衡点并且是全局渐近稳定的.
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| 关 键 词： | SIQR模型 稳定性 平衡点 基本再生数 |
Dynamic Analysis of a SIQR Disease Model |
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| LI Yong-liang.Dynamic Analysis of a SIQR Disease Model[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2012(3):250-253. |
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| Authors: | LI Yong-liang |
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| Institution: | LI Yong-liang (Department of Mathematics,Hubei University for Nationalities,Enshi 445000,China) |
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| Abstract: | Through a differential model,this paper studies a SIQR model in which the infectives are segregated and gets the basic reproductive number R0 of the SIQR epidemic model as well as the disease-free equilibrium and local equilibrium.The disease free eqilibrium always exists,which is globally asymptotically stable if R0≤1 and unstable if R0>1.When R0>1,the endemic equilibrium exists,which is globally asymptotically stable. |
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| Keywords: | SIQR model stability equilibrium basic reproductive number |
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