主题: Bifurcation analysis of epidemic model on networks主讲人: 靳祯（Jin Zhen） 教授地点: 松江校区2号学院楼理学院2435会议室时间: 2017-06-05 16:00:00组织单位: 应用数学系
报告人简介：
Jin Zhen，Shanxi University Professor ，Director of Shanxi MathematicsAssociation，Deputy Director of the Chinese BiologicalMathematics Association
报告摘要：
The bifurcation of most epidemic models oncomplex 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 thewell-known SIS model, and numerical studies have figured out that the rewiringmechanism can lead to backward bifurcation and Hopf bifurcation. However, theyhave not presented a strict mathematical proof of their conclusion in the literature. In this talk, we give the basic reproduction number and thecritical conditions of the bifurcations occur analytically. Furthermore, wegive a detailed analysis for these rich dynamical behaviors, such asbistability and periodicity.
报告主持：陶有山教授
报告语言：英语