| 具饱和传染率和时滞两阶段结构的传染病模型 |
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| 引用本文： | 曹瑾,唐蕾,武佳,崔然.具饱和传染率和时滞两阶段结构的传染病模型[J].数理医药学杂志,2013(3):260-263. |
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| 作者姓名： | 曹瑾 唐蕾 武佳 崔然 |
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| 作者单位： | 武装警察部队后勤学院数理教研室 |
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| 摘 要： | 讨论了一类具饱和传染率和时滞两阶段结构传染病模型,利用离散动力系统频闪映射理论,得到了传染病最终消除和成为地方病的阈值,当它小于1时,无病平衡点是全局渐近稳定的,此时疾病消除。当它大于1时,地方病平衡点是局部渐近稳定的,此时传染病成为地方病。
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| 关 键 词： | 传染病模型 饱和传染率 阶段结构 全局渐近稳定 |
Analysis of a Delayed Epidemic Model with Two Stage-Structure and Saturation Incidence |
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| Institution: | Cao Jin,et al(Basic Department,Logistics University of Chinese People’s Armed Police,Tianjin300162) |
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| Abstract: | A SIS Epidemic model with saturation incidence and two stage-structure is discussed in this paper.Using the discrete dynamical system determined by the stroboscopic map,the threshold is obtained.If the threshold less than one,sufficient condition for global asymptotic stability of the infection-free equilibrium is obtained,Moreover,we show that the endemic equilibrium is local asymptotic stability and permanence if the threshold is larger than one. |
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| Keywords: | epidemic model saturation incidentce stage-structure global asymptotic stability |
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