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The stochastic counterpart to the deterministic description of batch fermentation with ordinary differential equation is investigated in the process of glycerol bio-dissimilation to 1,3-propanediol by Klebsiella pneumonia. We briefly discuss the batch fermentation process driven by five-dimensional Brownian motion and Lipschitz coefficient, which is suitable for the actual fermentation. Subsequently, we study the existence and uniqueness of solutions for the stochastic system as well as the boundedness of the Two-order Moment and the Markov property of the solution. Finally, computer simulation results reveal the peculiar role of randomness in the dynamical responses of the batch culture.

A Stochastic Model of Microbial Bioconversion Process in Batch Culture