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Indexed by:期刊论文

Date of Publication:2015-01-01

Journal:Numerical Algebra, Control and Optimization

Included Journals:Scopus

Volume:5

Issue:4

Page Number:381-392

ISSN No.:21553289

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. ??? 2015, American Institute of Mathematical Sciences. All rights reserved.