Coexistence and stability of an unstirred chemostat model with Beddington-DeAngelis function
This paper deals with an unstirred chemostat model with the Beddington-DeAngelis functional response. First, a sufficient condition to the existence of positive steady state solutions is established. Second, the effect of the parameter beta(1) in the Beddington-DeAngelis functional response which models mutual interference between species u is considered. The result shows that if beta(1) is sufficiently large, the solution of this model is determined by a limiting equation. The main tool used here includes the fixed point index theory, the perturbation technique and the bifurcation theory. (C) 2010 Elsevier Ltd. All rights reserved.
coexistence stability chemostat fixed point index perturbation method