Bifurcations and Chaos in an SIR Model with Nonlinear Incidence Rate

摘要：

In this paper, bifurcations and chaos in an SIR model of epidemic dynamics with a periodically nonlinear incidence rate are studied. Firstly the equations are transformed into amenable to Melnikov analysis by a series of coordinate transformations. And then the existence of chaotic motion of the models is established mathematically by Melnikovs method. At last the numerical simulations are made for the conclusions.

关键词： SIR Model incidence rate bifurcation chaos melnikovs method

作者: Maoxing Liu Jiong Ruan Zhen Jin

作者单位: Department of Mathematics, North University of China;School of Mathematical Sciences,Fudan Universit School of Mathematical Sciences,Fudan University Department of Mathematics, North University of 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: 380-384

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）