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论文类型：期刊论文

发表时间：2015-01-01

发表刊物：Numerical Algebra, Control and Optimization

收录刊物：Scopus

卷号：5

期号：4

页面范围：381-392

ISSN号：21553289

摘要：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.