修志龙

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

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Oscillatory behavior in microbial continuous culture with discrete time delay

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论文类型:期刊论文

发表时间:2009-10-01

发表刊物:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

收录刊物:SCIE、EI、Scopus

卷号:10

期号:5

页面范围:2749-2757

ISSN号:1468-1218

关键字:Time delay; Hopf bifurcation; Stability; Periodic solution; Phase plane

摘要:By introducing discrete time delay into the model for producing 1,3-propanediol by microbial continuous fermentation, we consider the stability and Hopf bifurcation of the delay differential system. Through numerical simulations, we get the rule of branch value changing with parameter and draw the pictures of periodic solutions and phase diagrams with specified parameters. The effect of time delay suggests that the system can qualitatively describe oscillatory phenomena occurring in the experiment. (C) 2008 Elsevier Ltd. All rights reserved.