Persistence in ratio-dependent models of consumer-resource dynamics

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.

Keywords

• Species coexistence
• ecology
• population dynamics.