| 具有非线性传染率的SEIS传染病模型的定性分析 |
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| 引用本文： | 郭金生,唐玉玲.具有非线性传染率的SEIS传染病模型的定性分析[J].河西学院学报,2012(5):41-46. |
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| 作者姓名： | 郭金生 唐玉玲 |
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| 作者单位： | 河西学院数学与统计学院 |
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| 摘 要： | 讨论了一类具有非线性传染率的SEIS流行病模型,当基本再生数R0<1时,无病平衡点全局渐近稳定;基本再生数R0>1时,地方平衡点全局渐近稳定.
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| 关 键 词： | 传染病模型 传染率 基本再生数 全局渐近稳定性 |
A Qualitative Analysis of an SEIS Epidemic Model with Nonlinear Incidence Rate |
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| Guo Jin-sheng Tang Yu-ling.A Qualitative Analysis of an SEIS Epidemic Model with Nonlinear Incidence Rate[J].Journal of Hexi University,2012(5):41-46. |
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| Authors: | Guo Jin-sheng Tang Yu-ling |
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| Institution: | Guo Jin-sheng Tang Yu-ling(School of Mathematics and Statistics,Hexi University,Zhangye,Gansu 734000 China) |
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| Abstract: | An epidemic model with nonlinear incidence rate is investigated in this paper. If basic reproductive number R0〈1, the disease-free equilibrium point is global asymptotical stable; If basic reproductive number R0〉1, the endemic equilibrium point is global asymptotical stable. |
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| Keywords: | Epidemic model Nonlinear incidence rate Global asymptotical stability |
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