| 一类与环境有关的传染病模型的稳定性分析 |
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| 引用本文： | 郭婷,滕志东.一类与环境有关的传染病模型的稳定性分析[J].新疆大学学报(理工版),2013(4):401-407. |
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| 作者姓名： | 郭婷 滕志东 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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| 基金项目： | 国家自然科学基金（11271312,11201399）. |
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| 摘 要： | 研究了一类与环境有关的SIQR的传染病模型,得到了基本再生数R0.证明了当R0<1时无病平衡点全局渐近稳定,当R0>1时地方病平衡点全局渐近稳定.
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| 关 键 词： | 传染病模型 基本再生数 无病平衡点 地方病平衡点 全局稳定性 Lyapunov函数 |
Stability Analysis of an SIQR Epidemic Model with Environmental Component |
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| GUO Ting,TENG Zhi-dong.Stability Analysis of an SIQR Epidemic Model with Environmental Component[J].Journal of Xinjiang University(Science & Engineering),2013(4):401-407. |
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| Authors: | GUO Ting TENG Zhi-dong |
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| Institution: | (College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang 830046, China) |
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| Abstract: | In this paper, an SIQR epidemic model with environmental component is considered. The basic reproduction number R0 is calculated. It is proved that if R0 〈 1, then disease-free equilibrium is globally asymptotically stable and if Ro 〉 1, then endemic equilibrium is globally asymptotically stable. |
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| Keywords: | Epidemic model Basic reproduction number Disease-free equilibrium Endemic equilivrium Global stability Lyapunov function |
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