Sixth Mississippi State Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 15 (2007), pp. 211-220. 

Title: Persistence in ratio-dependent models of
       consumer-resource dynamics

Authors: Claude Lobry    (INRA 2,  Montpellier, France)
         Frederic Mazenc (INRA 2,  Montpellier, France)
	 Alain Rapaport  (INRA 2,  Montpellier, France)
 
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.