Volume no :4, Issue no: 1, August (2010)

Journal of Pure and Applied Mathematics: Advances and Applications

ANALYSIS OF A CHEMOSTAT MODEL FOR ANTIMICROBIAL RESISTANT AND NON-RESISTANT ORGANISMS WITH DELAY

Author's: T. Puttasontiphot
Pages: [115] - [133]
Received Date: April 21, 2010
Submitted by:

Abstract

In this paper, we consider the dynamical properties of the time delayed chemostat model composed of the resource, antibiotic, and two bacteria (one is sensitive and the other is resistant by the antibiotic). First, we give a model and summarize several known results on the basic properties of the model such as the existence of the equilibrium and stability of the equilibrium by the Hopf bifurcation theory. Then numerical simulations are presented to illustrate the results of periodic solution.

Keywords

bacteria model, resistant, chemostat, antibiotic, delay model.