Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors

摘要

In this paper, the long time behavior of a stochastic model is studied when the Contois growth rate is employed in reactor cascades.We first investigate the existence and uniqueness of the positive solution of the model. Then it is followed by the stochastic stability analysis of the equilibria, which is based on the so-called Lyapunov function. Our study shows that under certain condition, both the washout and non-washout equilibria are stochastically stable. At the end of this paper, numerical simulations are carried out to illustrate our theoretical results.