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Indexed by:期刊论文

Date of Publication:2012-01-01

Journal:Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Included Journals:Scopus

Volume:19

Issue:6

Page Number:697-707

ISSN No.:14928760

Abstract: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.