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Indexed by:期刊论文

Date of Publication:2009-01-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI

Volume:207

Issue:2

Page Number:307-318

ISSN No.:0096-3003

Key Words:Nonlinear dynamical system; Equilibrium points; Set-valued mapping; Multiple steady states; Stability

Abstract:In this paper, the nonlinear dynamical system of glycerol fermentations to 1,3-PD by Klebsiella pneumoniae in continuous cultures is investigated. We examine the existence of equilibrium points and deduce the permissible range of two main operating conditions (dilution rate and substrate concentration in feed) in continuous fermentations. Subsequently, algorithms are developed to calculate the equilibrium points and the upper boundary of dilution rate, respectively. The multiple steady states and stability of the system are also discussed. (C) 2008 Elsevier Inc. All rights reserved.