Noise-induced stochastic transition

Abstract

The continuous culture of microorganisms is extensively used to produce some important commercial products. Hence, the collection of continuously cultured microorganisms is one important topic in the applications of microbial engineering. In this research work, we present a novel stochastic chemostat model with two complementary nutrients and flocculation effect to provide control strategies. At microscopic scale the accumulation of small perturbations in the chemostat could not be neglected. In order to capture the fluctuations caused by environmental heterogeneity, we extend a deterministic model to the case with some stochastic perturbation in the form of white noise and then study the influence of stochastic perturbation on the global dynamics of such model.