Entire solutions originating from multiple fronts of an epidemic model with nonlocal dispersal and bistable nonlinearity

Date:2018-10-26Clicks:31设置

Topic: Entire solutions originating from multiple fronts of an epidemic model with nonlocal dispersal and bistable nonlinearity

Speaker: Professor Wu Shiliang

Event date: 10/26/2018

Event time: 8:30-11:00 a.m.

Venue: Lecture Hall 204, Building 9

Sponsor: School of Mathematics and Statistics, Institute of Science and Technology


Abstract:

In this talk, we study the entire solutions of a nonlocal dispersal epidemic model which arises from the spread of fecally-orally transmitted diseases. Under bistable assumptions, we first prove the uniqueness, Liapunov stability and continuous dependence on shift parameters of the annihilating-front entire solutions. A positive time-derivative estimate for such entire solution is also obtained. Then, we establish the existence of two different types of entire solutions merging three different fronts. Furthermore, we show that these entire solutions are global Lipschitz continuous with respect to the spatial variable. To the best of our knowledge, it is the first time that the entire solutions originating from three fronts of diffusion systems have been constructed. This is a joint work with G. Chen and C.-H. Hsu.


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