Spatial Segregation Limit of a Quasilinear Competition-Diffusion System

• 作者: Qunying Zhang Shan Zhang Zhigui Lin
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Competition-Diffusion System QUASILINEAR Spatial SEGREGATION Free Boundary Problem
• 年，卷（期）: yysxyw_2015,（12）
• 页码范围: 1977-1987
• 页数: 11页
• 分类号: O1

摘要

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.