| 一类具有饱和发生率的SEIS模型的全局稳定性 |
| |
| 引用本文： | 苟清明,王稳地.一类具有饱和发生率的SEIS模型的全局稳定性[J].生物数学学报,2008,23(2). |
| |
| 作者姓名： | 苟清明 王稳地 |
| |
| 作者单位： | 1. 长江师范学院,数学系,重庆,408100
2. 西南大学,教学与统计学院,重庆,400715 |
| |
| 基金项目： | 国家自然科学基金
,
重庆市教委资助项目 |
| |
| 摘 要： | 建立并分析了一类具有饱和发生率、在潜伏期具有传染性的SEIS模型.得到了模型的基本再生数R_0和无病平衡点与地方病平衡点全局渐近稳定的充分条件.
|
| 关 键 词： | SEIS模型 平衡点 稳定性 |
Global Stability of an SEIS Epidemic Model with Saturating Incidence |
| |
| GOU Qing-ming,WANG Wen-di.Global Stability of an SEIS Epidemic Model with Saturating Incidence[J].Journal of Biomathematics,2008,23(2). |
| |
| Authors: | GOU Qing-ming WANG Wen-di |
| |
| Institution: | GOU Qing-ming1 WANG Wen-di2 (1 Department of Mathematics; Yangtze Normal University; Chongqing 408100 China) (2 School of Mathematics and Statistics; Southwest University; Chongqing 400715 China); |
| |
| Abstract: | An SEIS model that incorporates saturating incidence and the disease infectivity in the latency is established and analysed.The basic reproduction number,R_0,is obtained for the model,and the sufficient conditions that the disease free equilibrium and the unique endemic equilibrium are glogally asymptotically stable is derived. |
| |
| Keywords: | SEIS model Equilibria Stability |
| 本文献已被 维普 万方数据 等数据库收录！ |
