Asymptotic Behavior of Single Species Chemostat Model

Abstract

In this paper, we consider a basic resource-based single species model in a well-stirred chemostat that incorporates general response
function. Conditions for positivity, boundedness and persistence of solutions and the existence of nonnegative steady states are given.
Local stability of steady states are studied by using the Routh-Hurwitz criterion. Global stability of the steady states are also
presented. Computer algebra system MATHEMATICA is used extensively for symbolic and numerical simulations.