On the principle of competitive exclusion in metapopulation models
Populations and Evolution
2014-03-06 v1
Abstract
In this paper we present and analyse a simple two populations model with migrations among two different environments. The populations interact by competing for resources. Equilibria are investigated. A proof for the boundedness of the populations is provided. A kind of competitive exclusion principle for metapopulation systems is obtained. At the same time we show that the competitive exclusion principle at the local patch level may be prevented to hold by the migration phenomenon, i.e. two competing populations may coexist, provided that only one of them is allowed to freely move or that migrations for both occur just in one direction.
Keywords
Cite
@article{arxiv.1403.1173,
title = {On the principle of competitive exclusion in metapopulation models},
author = {Davide Belocchio and Roberto Cavoretto and Giacomo Gimmelli and Alessandro Marchino and Ezio Venturino},
journal= {arXiv preprint arXiv:1403.1173},
year = {2014}
}