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