Association between competition and obligate mutualism in a chemostat

Abstract : In this paper, we consider a simple chemostat model involving two obligate mutualistic species feeding on a limiting substrate. Systems of differential equations are proposed as models of this association. A detailed qualitative analysis is carried out. We show the existence of a domain of coexistence, which is a set of initial conditions in which both species survive. We demonstrate, under certain supplementary assumptions, the uniqueness of the stable equilibrium point which corresponds to the coexistence of the two species.
Type de document :
Article dans une revue
Journal of Biological Dynamics, Taylor & Francis Open, 2009, 3 (6), pp.635 - 647. 〈10.1080/17513750902915978〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00858541
Contributeur : Alain Rapaport <>
Soumis le : jeudi 5 septembre 2013 - 15:36:25
Dernière modification le : samedi 27 janvier 2018 - 01:31:49

Lien texte intégral

Identifiants

Collections

Citation

Miled El Hajji, Jérôme Harmand, Hédia Chaker, Claude Lobry. Association between competition and obligate mutualism in a chemostat. Journal of Biological Dynamics, Taylor & Francis Open, 2009, 3 (6), pp.635 - 647. 〈10.1080/17513750902915978〉. 〈hal-00858541〉

Partager

Métriques

Consultations de la notice

285