The traveling wave solutions and semi-wave solutions of the three-species competition-diffusion systems

張覺心 教授

Prof. Chueh-Hsin Chang

東海大學應用數學系

Department of Applied Mathematics, Tunghai University

Abstract

   The Lotka-Volterra competition-diffusion systems are the classical model which describe the competition between species. The traveling wave solutions give us the dynamics about the invasion between species, and the semi-wave solutions are also important which related to the corresponding free boundary problems and fast reaction limits. In this talk, we discuss the front-back solutions and the semi-wave solutions of two-species systems first, and then study the existence and stability of the front-back-pulse solutions of the three-species systems in some different cases through the heteroclinic bifurcation theory and invariant manifold theory.

日  期:111年3月9日(星期三) 16:10~17:00

地  點：本校數學館527教室（嘉義縣民雄鄉大學路168號）

茶  會：15:30~16:00數學館四樓409室舉行

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