| 一类具饱和传染率和两阶段结构的传染病模型 |
| |
| 引用本文： | 杨淼淇,郭丰国,曹瑾.一类具饱和传染率和两阶段结构的传染病模型[J].软件,2011(10):20-23. |
| |
| 作者姓名： | 杨淼淇 郭丰国 曹瑾 |
| |
| 作者单位： | 武装警察部队后勤学院信息技术教研室;武警8630部队指挥自动化站;武装警察部队后勤学院数理教研室; |
| |
| 基金项目： | 武警部队自然科学基金资助课题(WKH2008-09) |
| |
| 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。
|
| 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 |
An Autonomous SIS Epidemic Model with Two Stage-Structure And Pulse Vaccination |
| |
| CAO jin,ZHANG Shuang-de,Wu jia.An Autonomous SIS Epidemic Model with Two Stage-Structure And Pulse Vaccination[J].Software,2011(10):20-23. |
| |
| Authors: | CAO jin ZHANG Shuang-de Wu jia |
| |
| Affiliation: | CAO jin,ZHANG Shuang-de,Wu jia(Basic Department,Medical College of Chinese People’s Armed Police,Tianjin 300162) |
| |
| Abstract: | 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 en-demic equilibrium is local asymptotic stability and permanence. |
| |
| Keywords: | Epidemic model Saturation Stage-structure Global asymptotic stability Threshold |
| 本文献已被 CNKI 维普 等数据库收录！ |
