题目：Threshold Dynamics of an Age-structured Epidemic Model with Relapse and Nonlinear Incidence

报告人：陈玉明 教授 Wilfrid Laurier University, Canada

时间：12月7日（星期三），上午 9:00-10:00

地点：致远楼102室

报告摘要

In this talk, we propose and analyze an epidemic model with relapse, infection age, and a general nonlinear incidence rate. Established is a threshold dynamics determined by the basic reproduction number R0. Roughly speaking, if R0 < 1 then the disease-free steady state is globally asymptotically stable while if R0 > 1 then the endemic steady state is globally asymptotically stable. The global attractivity for the steady states are obtained by employing the fluctuation lemma and the approach of Lyapunov functionals, respectively. Our results imply that decreasing the initial transmission rate and drawing up efficient prevention ways play the same important role as increasing the total treatment rate. The obtained theoretical results are illustrated with numerical

simulations, which also indicate that infection age is an important factor affecting the epidemic spread. This is a joint work with Junyuan Yang and Toshikazu Kuniya.

欢迎各位老师和同学参加！