Coexistence of Competing Species for Intermediate Dispersal Rates in a Reaction–Diffusion Chemostat Model

Abstract

A diffusive chemostat model with two competing species and one nutrient is revisited in this paper. It is shown that at large diffusion rate, both species are washed out, while competition exclusion occurs at small diffusion rate. This implies that a stable coexistence only occurs at intermediate diffusion rate, and an explicit way of determining parameter ranges which support a stable coexistence steady state is given.