Persistence in ecological models of competition for a single resource

Claude Lobry; Frédéric Mazenc; Alain Rapaport

doi:10.1016/j.crma.2004.12.021

Ordinary Differential Equations/Automation (theoretical)

Persistence in ecological models of competition for a single resource

Presented by: Pierre-Louis Lions

Claude Lobry ¹; Frédéric Mazenc ¹; Alain Rapaport ¹

¹ Projet INRA-INRIA ‘MERE’, UMR analyse des systèmes et biométrie, 2, place Viala, 34060 Montpellier, France

Comptes Rendus. Mathématique, Volume 340 (2005) no. 3, pp. 199-204.

Abstract
Résumé

We show how the consideration of an intra-specific dependency in the population growth functions can explain a stable persistence of several species in competition for a single resource. This result is applied to a model of single-nutrient competition in the chemostat.

Nous montrons comment la considération d'un terme de compétition intra-specifique dans les lois de croissance permet d'expliquer la persistance stable de plusieurs espèces en compétition pour une même ressource. Ce résultat est appliqué à un modèle de compétition pour un seul substrat dans le chemostat.

Received: 2004-11-18
Accepted: 2004-12-17
Published online: 2005-01-12

DOI: 10.1016/j.crma.2004.12.021

Author's affiliations:

Claude Lobry ¹; Frédéric Mazenc ¹; Alain Rapaport ¹

¹ Projet INRA-INRIA ‘MERE’, UMR analyse des systèmes et biométrie, 2, place Viala, 34060 Montpellier, France

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Claude Lobry; Frédéric Mazenc; Alain Rapaport. Persistence in ecological models of competition for a single resource. Comptes Rendus. Mathématique, Volume 340 (2005) no. 3, pp. 199-204. doi : 10.1016/j.crma.2004.12.021. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.12.021/

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