Global analysis of an SEIR model with distinct incidence for exposed and infectives

摘要：

This paper considers an SEIR model with vaccination strategy that incorporates distinct incidence rates for the exposed and the infected populations. By means of Lyapunov function and LaSalle’s invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. It is then obtained the sufficient conditions for the global stability of the endemic equilibrium by the compound matrix theory.

关键词： SEIR model incidence rate vaccination global stability

作者: Ning Cui Jun-hong Li Liang Cui Xiang-ling Li

作者单位: Department of Mathematics and Sciences,Hebei Institute of Architecture&Civil Engineering,Zhangjiakou Office of Student,Shijiazhuang Tiedao University,Shijiazhuang Hebei 051000, 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: 1172-1177

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）