Dynamical Analysis of Chemostat Model Incorporated with Substrate Inhibition and Variable Yield Coefficient

Abstract

Abstract This paper analyses a chemostat model for microbial production by considering substrate inhibition and variable yield coefficient. The Andrews growth model is considered to describe the inhibitory effect of high substrate concentration towards the microbial growth. The dependency of product yield towards the substrate concentration also incorporated in the chemostat model. The stability and bifurcation analyses of the chemostat model are presented to investigate the dynamical behaviour of microbial in the chemostat and to identify the parameter region that generates oscillations in the chemostat. The steady state solutions and their stability are determined as a function of residence time. When the feed substrate concentration is adjusted to be more than 6.1 g/L, there exist a parameter range of residence time that improves the microbial production in the chemostat.