Bifurcation analysis of epidemic
model on networks


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


Jin Zhen,Shanxi University Professor ,Director of Shanxi MathematicsAssociation,Deputy Director of the Chinese BiologicalMathematics Association


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.



视频:   摄影: 撰写:李美丽  信息员:唐晓亮  编辑:向娟