Effect on persistence of intra-specific competition in competition models

Claude Lobry (1, 2) , Frédéric F. Mazenc (1, 2)

1 ASB - Analyse des Systèmes et Biométrie
2 MERE - Water Resource Modeling

An ecological model describing the competition for a single sub-strate of an arbitrary number of species is considered. The mortality rates of the species are not supposed to have all the same value and the growth function of the substrate is not supposed to be linear or decreasing. Intra-specific competion is taken into account. Under additional technical assumptions, we establish that the model admits a globally asymptotically stable positive equilibrium point. This ensures persistence of the species. Our proof relies on a Lyapunov function.

Mots clés: SPECIES COEXISTENCE; ECOLOGY

Mots clés: POPULATION DYNAMICS; COEXITENCE DES ESPECES

Domaines: Statistiques [stat]

Claude Lobry, Frédéric F. Mazenc. Effect on persistence of intra-specific competition in competition models. Electronic Journal of Differential Equations, 2007, 125, pp.1-10. ⟨hal-02654848⟩