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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.