学术讲座:Bifurcation analysis of epidemic model on networks

2017-06-02

主题:Bifurcation analysis of epidemic model on networks

主讲人:靳祯(Jin Zhen) 教授

地点:理学院2435会议室

时间:2017年6月5日 16:00-17:00 

组织单位:应用数学系

报告人简介:

Shanxi University Professor , Director of Shanxi Mathematics Association, Deputy Director of the Chinese Biological Mathematics Association

报告摘要:The bifurcation of most epidemic models on complex networks leading from a disease free equilibrium to an endemic equilibrium is forward. Gross et al. established a pair-approximation epidemic model for the spreading of infections on an adaptive network based on the well-known SIS model, and numerical studies have figured out that the rewiring mechanism can lead to backward bifurcation and Hopf bifurcation. However, they have not presented a strict mathematical proof of their conclusion in the literature. In this talk, we give the basic reproduction number and the critical conditions of the bifurcations occur analytically. Furthermore, we give a detailed analysis for these rich dynamical behaviors, such as bistability and periodicity.  

报告主持:陶有山 教授

报告语言:英语