Competition Model in a Chemostat with Monotone Functional Response

Abstract

 In this paper, a model for competition of two populations of microorganisms in a chemostat with monotone functional response is considered. We prove that the solutions are positive and bounded for all time. Stability of nonnegative equilibria and persistence of solutions are presented. Graphical results are also given to help illustrate the key points in the population dynamics of the model. Key words: competition; local stability; global stability; persistence.