Prof. Chueh-Hsin Chang (Department of Mathematics, National Chung Cheng University)
Title
Bistable Wavefronts of Three-Species Competition-Diffusion Systems
Abstract
In this talk we study the existence of wavefront solutions of the bistable three-species competition-diffusion system. We first consider the existence and asymptotic stability of traveling fronts for a simplified system without competition between two species. This simplified system has the comparison principle. Then we use the heteroclinic bifurcation approach and perturbation theory of linearized operators to obtain the existence and asymptotic stability of traveling fronts to the system in which the competition rates between the above two species are small enough. The monotone dependence of the wave speed on parameters is also discussed. This is a joint work with Professor Chang-Hong Wu.
