| 一类具有非线性传染率的SIRS模型传染病的定性分析 |
| |
| 引用本文： | 郭金生,康晓娉,唐玉玲.一类具有非线性传染率的SIRS模型传染病的定性分析[J].兰州工业高等专科学校学报,2014(4):30-33. |
| |
| 作者姓名： | 郭金生 康晓娉 唐玉玲 |
| |
| 作者单位： | 河西学院数学与统计学院,甘肃张掖734000 |
| |
| 摘 要： | 建立了一类带有非线性传染率的SIRS传染病模型,得到基本再生数R0.当R0≤1时,无病平衡点是全局渐近稳定的;当R01时,地方病平衡点是全局渐近稳定的.
|
| 关 键 词： | 传染病模型 基本再生数 全局稳定性 |
A Qualitative Analysis of a SIRS Epidemic Model with a Nonlinear Incidence Rate |
| |
| GUO Jin-sheng,KANG Xiao-pin; TANG Yu-ling.A Qualitative Analysis of a SIRS Epidemic Model with a Nonlinear Incidence Rate[J].Journal of Lanzhou Higher Polytechnical College,2014(4):30-33. |
| |
| Authors: | GUO Jin-sheng KANG Xiao-pin; TANG Yu-ling |
| |
| Affiliation: | (College of Mathematics and Statistics, Hexi University, Zhangye 734000, China) |
| |
| Abstract: | A SIRS epidemic model with a nonlinear incidence rate is estalished. The basic reproductive number is found. whenR0＂1,disease free equilibrium point is globally asymptotical stable; whenR0 1,endemic equilibrium is globally asymptotical stable. |
| |
| Keywords: | infectious disease model the basic reproductive number the globally asymptotical stability |
| 本文献已被 CNKI 维普 等数据库收录！ |
