| 一类具有饱和发生率的离散型SIS传染病模型 |
| |
| 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[J].军械工程学院学报,2014(5):70-74. |
| |
| 作者姓名： | 陈辉 徐瑞 |
| |
| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
| |
| 摘 要： | 研究一类具有饱和发生率的离散型SIS传染病模型,得到了模型的基本再生数.通过线性化的方法,运用LaSalle-Lyapunov定理,证明当基本再生数R01时,无病平衡点是全局渐近稳定的;通过迭代的方法,证明当基本再生数R01时,地方病平衡点是全局渐近稳定的.
|
| 关 键 词： | 饱和发生率 离散型传染病模型 基本再生数 迭代 |
A Discrete SIS Epidemic Model with Saturation Incidence Rate |
| |
| CHEN Hui,XU Rui.A Discrete SIS Epidemic Model with Saturation Incidence Rate[J].Journal of Ordnance Engineering College,2014(5):70-74. |
| |
| Authors: | CHEN Hui XU Rui |
| |
| Institution: | (Basic Courses Department,Ordnance Engineering College,Shijiazhuang 050003,China) |
| |
| Abstract: | In this paper, a discrete SIS epidemic model with saturation incidence rate is investigated;the basic reproduction number of the model is derived.By means of linearization and LaSalle-Lyapunov theory,it is proved that if the basic reproduction number R0 is less than unity, the disease-free equilibrium is globally asymptotically stable;through iteration scheme,it is derived if the basic reproduction number R0 is greater than unity,the endemic equilibrium is globally asymptotically stable. |
| |
| Keywords: | , discrete epidemic model,saturation incidence rate,the basic reproduction number,iteration |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
