| 带有输入输出SEIR传染病模型的全局分析 |
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| 引用本文： | 彭晓艳,雒志学.带有输入输出SEIR传染病模型的全局分析[J].兰州铁道学院学报,2014(6):165-170. |
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| 作者姓名： | 彭晓艳 雒志学 |
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| 作者单位： | 兰州交通大学 数理学院,甘肃 兰州,730070 |
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| 摘 要： | 建立了一类带有输入输出SEIR传染病模型,分析求得了基本再生数R0,当R01时,通过构造合适V的函数,得到了无病平衡点E0是全局渐进稳定的,且疾病永久灭绝.当R01时,通过构造合适的Dulac函数,得到了唯一地方病平衡点E1是全局渐进稳定的,且疾病永久持续流行.
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| 关 键 词： | 传染病模型 平衡点 全局渐进稳定 人口输入输出 |
Global Analysis of SEIR Epidemic Model with Immigration |
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| PENG Xiao-yan,LUO Zhi-xue.Global Analysis of SEIR Epidemic Model with Immigration[J].Journal of Lanzhou Railway University,2014(6):165-170. |
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| Authors: | PENG Xiao-yan LUO Zhi-xue |
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| Institution: | (School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070,China ) |
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| Abstract: | A SEIR epidemic model with immigration is considered and the threshold data R0,which determines the existence of an infectious disease,is obtained.when R01,it is proved by constructing appropriate function Vthat the disease-free E0 is global asymptotic stable and the disease eventually dies out.When R01,it is obtained by constructing appropriate function Dulac that the endemic equilibriumE1 is global asymptotic stable and the disease is uniformly persistent. |
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| Keywords: | epidemic model stability global asymptotic stable immigration |
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