Modeling and Properties of Nonlinear Stochastic Dynamical System of Continuous Culture

Lei Wang; Enmin Feng; Jianxiong Ye; Zhilong Xiu

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Modeling and Properties of Nonlinear Stochastic Dynamical System of Continuous Culture

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@INPROCEEDINGS{10.1007/978-3-642-02466-5_45,
    author={Lei Wang and Enmin Feng and Jianxiong Ye and Zhilong Xiu},
    title={Modeling and Properties of Nonlinear Stochastic Dynamical System of Continuous Culture},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
    proceedings_a={COMPLEX PART 1},
    year={2012},
    month={5},
    keywords={Continuous Culture Bioconversion Nonlinear Stochastic System Stochastic Simulation},
    doi={10.1007/978-3-642-02466-5_45}
}

Lei Wang
Enmin Feng
Jianxiong Ye
Zhilong Xiu
Year: 2012
Modeling and Properties of Nonlinear Stochastic Dynamical System of Continuous Culture
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_45

Lei Wang¹^,*, Enmin Feng¹, Jianxiong Ye¹, Zhilong Xiu¹

1: Dalian University of Technology

*Contact email: wanglei@dlut.edu.cn

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 . 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.

Keywords: Continuous Culture Bioconversion Nonlinear Stochastic System Stochastic Simulation

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_45