Global Stability of an Epidemic Model With General Incidence Rate

摘要：

We study an SEI endemic model with a general contact rate,constant recruitment and diseasecaused death.The basic reproduction number is found.By constructing suitable Liapunov function and using Lasalle invariance principle,it is proved that the disease-free equilibrium is globally stable and the disease dies out eventually.The sufficient condition is established to ensure that the unique endemic equilibrium is globally stable.Numerical simulations support our analytical conclusions.

关键词： SEI model basic reproduction number equilibria global stability

作者: Xiaowei Cheng Zhixing Hu Wanbiao Ma

作者单位: Department of Applied Mathematics and Mechanics,University of Science and Technology Beijing,Beijing 100083

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 611-615

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）