Persistence in ratio-dependent models of consumer-resource dynamics

Claude Lobry (1, 2) , Frédéric Mazenc (1, 2) , Alain Rapaport (1, 2)

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
2 MERE - Water Resource Modeling

In a recent work Cantrell, Cosner and Ruan show that intraspecific interference is responsible for coexistence of many consumers for one resource with a logistic like growth rate. Recently, we have established a similar result for the case of a chemostat using a rather different technique. In the present note, we complement these two works to the case of an unknown nonlinear growth rate for the resource satisfying mild assumptions.

Mots clés: ECOLOGIE; COEXISTENCE DES ESPECES; POPULATION DYNAMICS.; ECOLOGY; SPECIES COEXISTENCE

Domaines: Systèmes dynamiques [math.DS]; Ecologie, Environnement

Claude Lobry, Frédéric Mazenc, Alain Rapaport. Persistence in ratio-dependent models of consumer-resource dynamics. Electronic Journal of Differential Equations, 2007, Conf 15, pp.211-220. ⟨hal-01189290⟩