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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：大连理工大学
学位：博士
所在单位：生物工程学院
学科：生物化工. 生物工程与技术
联系方式：zhlxiu@dlut.edu.cn
电子邮箱：zhlxiu@dlut.edu.cn
Existence of equilibrium points and stability of the nonlinear dynamical system in microbial continuous cultures
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论文类型：期刊论文
发表时间：2009-01-15
发表刊物：APPLIED MATHEMATICS AND COMPUTATION
收录刊物：SCIE、EI
卷号：207
期号：2
页面范围：307-318
ISSN号：0096-3003
关键字：Nonlinear dynamical system; Equilibrium points; Set-valued mapping; Multiple steady states; Stability
摘要：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.