王磊

个人信息Personal Information

教授

博士生导师

硕士生导师

主要任职:数学科学学院副院长

其他任职:石河子大学理学院院长(援疆)

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:运筹学与控制论

电子邮箱:wanglei@dlut.edu.cn

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A stochastic model for microbial fermentation process under Gaussian white noise environment

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论文类型:期刊论文

第一作者:Wang Y.

合写作者:Wang L.,Zhao Y.X.,Song A.M.,Ma Y.P.

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.