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论文类型：期刊论文
发表时间：2012-01-01
发表刊物：Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
收录刊物：Scopus
卷号：19
期号：6
页面范围：697-707
ISSN号：14928760
摘要：The purpose of this paper is to explore the properties of a new model which can describe the multistage of population growth of microorganisms. The improved model is developed based on the time dependent changes of the specific growth rate. Considering the discontinuity of the process of adding glycerol and alkali, a nonlinear complex kinetic system(CKS) of fed-batch fermentation is investigated. Then the existence, uniqueness and boundedness of solutions to the CKS and the Lipschitz continuity and differentiability of solutions with respect to the initial-state-control pairs are discussed. Finally, a numerical example is employed to carry out numerical simulation for the CKS. Copyright ? 2012 Watam Press.