报告主题:异质网络上带出生与死亡的低维SIR传染病模型
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)10:00
报告地点:校本部G507
邀请人:傅新楚教授
主办部门:理学院数学系
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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