| 一类具有饱和发生率的离散型SIS传染病模型的全局渐近稳定性 |
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| 引用本文： | 陈辉,徐瑞.一类具有饱和发生率的离散型SIS传染病模型的全局渐近稳定性[J].军械工程学院学报,2014(4):56-60. |
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| 作者姓名： | 陈辉 徐瑞 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 基金项目： | 国家自然科学基金资助项目（11371368） |
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| 摘 要： | 研究一类具有饱和发生率的离散型SIS传染病模型,得到模型的基本再生数.通过比较原理以及构造适当的Lyapunov函数,证明当基本再生数R01时,无病平衡点是全局渐近稳定的;当基本再生数R01时,地方病平衡点是全局渐近稳定的.
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| 关 键 词： | 饱和发生率 离散型传染病模型 Lyapunov函数 基本再生数 |
Global Asymptotically Stability of a Discrete SIS Epidemic Model with Saturation Incidence Rate |
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| CHEN Hui,XU Rui.Global Asymptotically Stability of a Discrete SIS Epidemic Model with Saturation Incidence Rate[J].Journal of Ordnance Engineering College,2014(4):56-60. |
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| Authors: | CHEN Hui XU Rui |
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| Institution: | (Basic Courses Department,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | In this paper,a discrete SIS epidemic model with saturation incidence rate is investiga-ted,and the basic reproduction number of the model is derived.By the comparison principle and construction of appropriate Lyapunov functions,it is proved that if the basic reproduction number is less than unity,the disease-free equilibrium is globally asymptotically stable;if the basic re-production number is greater than unity,the endemic equilibrium is globally asymptotically sta-ble. |
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| Keywords: | discrete epidemic model saturation incidence rate Lyapunov function the basic repro-duction number |
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