报告题目:Traveling wave solutions for a delayed diffusive SIR epidemic model with nonlinear incidence
rate and external supplies
报告人:中山大学 王其如教授
报告时间:2018年12月17日 18:00-21:00
报告地点:数学馆金融实验室
报告内容摘要:In this talk, we study traveling wave solutions of a delayed diffusive SIR epidemic model with nonlinear incidence rate and constant external supplies. We find that the existence of traveling wave solutions is determined by the basic reproduction number of the corresponding spatial-homogenous delay differential system and the minimal wave speed. The existence is proved by applying Schauder’s fixed point theorem and Lyapunov functional method. The nonexistence of traveling waves is obtained by two-sided Laplace transform.