Global stability analysis of a SIR epidemic model with nonlinear incidence rate

摘要：

In this paper, an SIR epidemic model with nonlinear incidence rate is investigated. Mathematical analyses firstly establish the existence of equilibria of the model. Secondly, by using simple change of variables, the model is transformed into a Lieard equation. Finally, by using Lieard equation and constructing Lyapunov direct method, sufficient conditions are established for the global stability of the infection-free and endemic equilibria in this model.

关键词： SIR epidemic model Nonlinear incidence rate Lienard equation Global stability

作者: Tong Zhao Jingjing Xiang

作者单位: School of Child Education,Xian University of Arts and Science School of Science,Xian University of Architecture & Technology,Xian 710055,P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1433-1438

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）