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Modeling and properties of nonlinear stochastic dynamical system of continuous culture

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Indexed by:期刊论文

Date of Publication:2009-02-23

Journal:Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering

Included Journals:EI、CPCI-S、Scopus

Volume:4 LNICST

Issue:PART 1

Page Number:458-466

ISSN No.:3642024653

Key Words:Continuous Culture; Bioconversion; Nonlinear Stochastic System; Stochastic Simulation

Abstract: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. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.

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