Document Type
Article
Publication Date
2015
Abstract
In this paper, we propose a stochastic model for the microbial fermentation process under the framework of white noise analysis, where Gaussian white noises are used to model the environmental noises and the specific growth rate is driven by Gaussian white noises. In order to keep the regularity of the terminal time, the adjustment factors are added in the volatility coefficients of the stochastic model. Then we prove some fundamental properties of the stochastic model: the regularity of the terminal time, the existence and uniqueness of a solution and the continuous dependence of the solution on the initial values.
Original Publication Citation
Wang, Yan & Wang, Lei & Zhao, Yanxiang & Song, Aimin & Ma, Yanping. (2015). A stochastic model for microbial fermentation process under Gaussian white noise environment. Numerical Algebra, Control and Optimization. 5. 381-392.
Digital Commons @ LMU & LLS Citation
Ma, Yanping, "A stochastic model for microbial fermentation process under Gaussian white noise environment" (2015). Mathematics, Statistics and Data Science Faculty Works. 148.
https://digitalcommons.lmu.edu/math_fac/148
