Spreading Speeds and Traveling Waves of Vector-Borne Disease Models

讲座时间 Datetime: 2022年9月12日，星期一，11:00-12:00

地点 Venue: 腾讯会议：434-145-642

主持人 Host：唐德

报告人 Speaker: 林国 

单位 Affiliation: 兰州大学

报告摘要 Abstract:

We investigate the propagation dynamics of diffusive vector-borne disease models in the whole space, which models the spatial expansion of the infected hosts and infected vectors. Due to the lack of monotonicity, the comparison principle cannot be directly applied to this system. We establish the spreading speed and minimal wave speed when the basic reproduction number of the corresponding kinetic system is larger than one. When the basic reproduction number of the corresponding kinetic system is not larger than one, it is shown that solutions approach to the disease-free equilibrium uniformly and there is no traveling wave solutions. This talk is based on the work joint with Dr. Xinjian Wang and Prof. Shigui Ruan.