Traveling wave solutions for a delayed diffusive SIR epidemic model with nonlinear incidence rate and external supplies

讲座时间 Datetime: 

星期三, 2018/09/12 - 从 18:00 到 19:00

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

王其如 教授

单位 Affiliation: 

中山大学

报告摘要 Abstract: 

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.