Stability and Bifurcation Analysis for a Delayed SEI Epidemic Model

摘要：

In this paper, a SEI model with delay is investigated, where the time delays are regarded as parameters. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. By analyzing the associated characteristic equation, it is found that Hopf bifurcation occurs when these delays pass through a sequence of critical value. A formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions is given by using the normal form method and center manifold theorem.

关键词： SEI infectious disease model time delay, Hopf bifurcation periodic solutions stability

作者: Xumeng Li Lihong Huang Xiaohui Wang

作者单位: College of Science, Hunan Agricultural University, Changsha, 410128, China College of Mathematics and Econometrics,Hunan University,Changsha,410082,China

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 679-682

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）