Hopf Bifurcation of An Eco-Epidemiological Model

摘要：

This paper is concerned with a predator-prey system with disease in prey.Assume that the predator eats the infected prey only and the incidence rate is nonlinear.By computing the first Lyapunov coefficient,we study the Hopf bifurcation of this three-dimensional system and the direction of the limit cycle bifurcation.

关键词： eco-epidemiological model Hopf bifurcation nonlinear incidence rate

作者: Xuanliang Liu Chaoyang Wang Yongqi Liu

作者单位: School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,P.R.China

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: 654-657

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）