| 一类具有非线性传染率SEIS传染病模型动力学分析 |
| |
| 引用本文： | 张永成,雒志学.一类具有非线性传染率SEIS传染病模型动力学分析[J].重庆文理学院学报,2013,32(3):13-15. |
| |
| 作者姓名： | 张永成 雒志学 |
| |
| 作者单位： | 兰州交通大学数理学院数学系,甘肃兰州,730070 |
| |
| 摘 要： | 文章考虑一类具有非线性传染率且人口有输入输出的传染病模型,得到疾病控制的阀值:基本再生数R0.当R0 ＜1时,无病平衡点是全局渐进稳定的,且疾病最终灭绝；当R0 ＞1时,无病平衡点不稳定,而唯一的地方病平衡点是局部渐进稳定的.
|
| 关 键 词： | 传染病模型 平衡点 稳定性 阀值 |
Dynamic analysis of a SEIS epidemic model with nonlinear contagious rate |
| |
| ZHANG Yongcheng and LUO Zhixue.Dynamic analysis of a SEIS epidemic model with nonlinear contagious rate[J].Journal of Chongqing University of Arts and Sciences,2013,32(3):13-15. |
| |
| Authors: | ZHANG Yongcheng and LUO Zhixue |
| |
| Institution: | Department of Mathematics, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China;Department of Mathematics, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China |
| |
| Abstract: | In this paper, considering a SEIS epidemic mode with nonlinear contagious rate, the threshold data R0 is obtained, which determines the existence of an infectious disease. When R0<1, disease-free k0 equilibrium is globally and asymptotically stable. When R0>1, the disease-free equilibrium k0 is unstable and the unique endemic equilibrium K* is locally and asymptotically stable. |
| |
| Keywords: | epidemic model equilibrium point stability threshold |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《重庆文理学院学报》浏览原始摘要信息 |
| 点击此处可从《重庆文理学院学报》下载免费的PDF全文 |
|
