Claude Lobry, Frederic Mazenc, Alain Rapaport
Abstract:
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.
Published February 28, 2007.
Math Subject Classifications: 92B05, 92D25.
Key Words: Species coexistence; ecology; population dynamics.
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Claude Lobry Projet MERE INRIA-INRA UMR Analyse des Systèmes et Biométrie INRA 2, pl. Viala, 34060 Montpellier, France email: claude.lobry@inria.fr |
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Frédéric Mazenc Projet MERE INRIA-INRA UMR Analyse des Systèmes et Biométrie INRA 2, pl. Viala, 34060 Montpellier, France email: mazenc@ensam.inra.fr |
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Alain Rapaport Projet MERE INRIA-INRA UMR Analyse des Systèmes et Biométrie INRA 2, pl. Viala, 34060 Montpellier, France email: rapaport@ensam.inra.fr |
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