On the limit configuration of four species strongly competing systems
Analysis of PDEs
2019-10-29 v2
Abstract
We analysed some qualitative properties of the limit configuration of the solutions of a reaction-diffusion system of four competing species as the competition rate tends to infinity. Large interaction induces the spatial segregation of the species and only two limit configurations are possible: either there is a point where four species concur, a 4-point, or there are two points where only three species concur. We characterized, for a given datum, the possible 4-point configuration by means of the solution of a Dirichlet problem for the Laplace equation.
Keywords
Cite
@article{arxiv.1809.10159,
title = {On the limit configuration of four species strongly competing systems},
author = {Flavia Lanzara and Eugenio Montefusco},
journal= {arXiv preprint arXiv:1809.10159},
year = {2019}
}