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Published in:
2009 | OriginalPaper | Chapter
Modeling and Properties of Nonlinear Stochastic Dynamical System of Continuous Culture
Authors : Lei Wang, Enmin Feng, Jianxiong Ye, Zhilong Xiu
Published in: Complex Sciences
Publisher: Springer Berlin Heidelberg
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The stochastic counterpart to the deterministic description of continuous fermentation with ordinary differential equation is investigated in the process of glycerol bio-dissimilation to 1,3-propanediol by
Klebsiella pneumoniae
. We briefly discuss the continuous fermentation process driven by three-dimensional Brownian motion and Lipschitz coefficients, which is suitable for the factual 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 stochastic simulation is carried out under the Stochastic Euler-Maruyama method.