Spatial Segregation Limit of a Quasilinear Competition-Diffusion System

Qunying Zhang^1*, Shan Zhang², Zhigui Lin¹

¹School of Mathematical Science, Yangzhou University, Yangzhou, China.
²School of Applied Mathematics, Nanjing University of Finance Economics, Nanjing, China.

DOI: 10.4236/am.2015.612175                

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.

Keywords

Competition-Diffusion System, Quasilinear, Spatial Segregation, Free Boundary Problem

Conflicts of Interest

The authors declare no conflicts of interest.

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