报告主题：自适应网络上一个对逼近传染病模型的分支分析
报告人： 靳祯 教授（山西大学复杂系统研究所）
报告时间：2016年5月27日（周五）9:00
报告地点：校本部G507
邀请人：傅新楚教授
主办部门：永利数学系
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
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