王磊

个人信息Personal Information

教授

博士生导师

硕士生导师

主要任职:教务处副处长兼通识与基础教育中心主任

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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An improved nonlinear multistage switch system of microbial fermentation process in fed-batch culture

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论文类型:期刊论文

发表时间:2015-06-01

发表刊物:JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

收录刊物:SCIE、EI、Scopus

卷号:28

期号:3

页面范围:580-591

ISSN号:1009-6124

关键字:Bioconversion; fed-batch culture; Klebsiella pneumoniae; nonlinear multistage switch system

摘要:This paper considers the fed-batch culture in microbial fermentation process, which consists of batch and continuous culture. The goal is to explore the properties of a novel model which can describe the characteristics of multistage for the population growth of microorganisms in nonlinear switch dynamic system. The improved model is developed based on the experimental data to describe the delayed, developmental and stationary stages well for the phases of batch culture. Then the existence, uniqueness and boundedness of solutions to the nonlinear multistage switch system and the Lipschitz continuity and differentiability of solutions with respect to the initial state is discussed as well. Finally, a numerical simulation is employed for the nonlinear multistage switch system.