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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

Cite this paper

Zhang, Q. , Zhang, S. and Lin, Z. 2015 Spatial Segregation Limit of a Quasilinear Competition-Diffusion System. Applied Mathematics, 6, 1977-1987. doi: 10.4236-am.2015.612175.





Autor: Qunying Zhang1*, Shan Zhang2, Zhigui Lin1

Fuente: http://www.scirp.org/



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