On the Principle of Competitive Exclusion in Metapopulation Models

Authors

Davide Belocchio, Dipartimento di Matematica “Giuseppe Peano”, Universit`a di Torino, via Carlo Alberto 10, 10123 Torino, ItalyFollow
Roberto Cavoretto, Dipartimento di Matematica “Giuseppe Peano”, Universit`a di Torino, via Carlo Alberto 10, 10123 Torino, ItalyFollow
Giacomo Gimmelli, Dipartimento di Matematica “Giuseppe Peano”, Universit`a di Torino, via Carlo Alberto 10, 10123 Torino, ItalyFollow
Alessandro Marchino, Dipartimento di Matematica “Giuseppe Peano”, Universit`a di Torino, via Carlo Alberto 10, 10123 Torino, ItalyFollow
Ezio Venturino, Dipartimento di Matematica “Giuseppe Peano”, Universit`a di Torino, via Carlo Alberto 10, 10123 Torino, ItalyFollow

Author Country (or Countries)

Italy

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.

Recommended Citation

Belocchio, Davide; Cavoretto, Roberto; Gimmelli, Giacomo; Marchino, Alessandro; and Venturino, Ezio (2015) "On the Principle of Competitive Exclusion in Metapopulation Models," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 11.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/11