TITLE:
Spatial Segregation Limit of a Quasilinear Competition-Diffusion System
AUTHORS:
Qunying Zhang, Shan Zhang, Zhigui Lin
KEYWORDS:
Competition-Diffusion System, Quasilinear, Spatial Segregation, Free Boundary Problem
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.12,
November
11,
2015
ABSTRACT: The aim of this paper is to investigate a Volterra-Lotka competition model of quasilinear parabolic equations with large interaction. Some existence, uniqueness and convergence results for the system are given. Also investigated is its spatial segregation limit when the interspecific competition rates become large. We show that the limit problem is similar to a free boundary problem.