陈玉明学术报告

发布时间:2014年06月06日 作者:   消息来源:    阅读次数:[]

 

时间:2014年6月10号下午16:30-17:30    

地点:数学院一楼报告厅    

题目:The threshold dynamics of an SIRS model with infection age    

报告人: 陈玉明 加拿大Wilfrid Lauvier大学    

报告内容: Infection age is an important factor affecting the transmission of infectious diseases. In this talk, we consider an SIRS model with infection age, which is described by a mixed system of ordinary differential equations and partial differential equations. A kind of threshold dynamics is established. Precisely, we obtained the expression of the basic reproduction number $\mathscr{R}_0$. If $\mathscr{R}_0\le 1$, then the model only has the disease-free equilibrium, while if $\mathscr{R}_0>1$, then besides the disease-free equilibrium the model also has an endemic equilibrium. Moreover, if $\mathscr{R}_0<1$, then the disease-free equilibrium is globally asymptotically stable otherwise it is unstable; if $\mathscr{R}_0>1$, then the endemic equilibrium is globally asymptotically stable under additional conditions. The theoretical results are illustrated with numerical simulations.This is a joint work with J.\ Yang and F.\ Zhang.    



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