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一类具饱和传染率和两阶段结构的传染病模型

An Autonomous SIS Epidemic Model with Two Stage-Structure And Pulse Vaccination
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摘要 对一类具饱和传染率和阶段结构传染病模型进行了分析,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。 A SIS Epidemic model with saturation incidence and two stage-structure is discussed. The threshold is obtained.If the threshold less than one, sufficient conditions for global asymptotic stability of the infection-free equilibrium is obtained, otherwise the endemic equilibrium is local asymptotic stability and permanence.
作者 杨淼淇 郭丰国 曹瑾
机构地区 武装警察部队后勤学院信息技术教研室 武警 武装警察部队后勤学院数理教研室
出处 《软件》 2011年第10期20-23,共4页 Software
基金 武警部队自然科学基金资助课题(WKH2008-09)
关键词 传染病模型 饱和传染率 阶段结构 全局渐近稳定局部渐近稳定 Epidemic model Saturation Stage-structure Global asymptotic stability Threshold
分类号 TP182 [自动化与计算机技术—控制理论与控制工程]
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参考文献6

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