Hopf bifurcation of a chemostat model

被引：1
|
作者：
Qu, Rongning [1 ]
Li, Xiaofang [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 08期
关键词：
Delay; Hopf bifurcation; Stability; Periodic solution; Oscillation; ANAEROBIC CONTINUOUS-CULTURE; KLEBSIELLA-PNEUMONIAE; GLYCEROL METABOLISM; KINETIC-MODEL; 1,3-PROPANEDIOL; OSCILLATION; PATHWAY; GROWTH;
D O I：
10.1016/j.amc.2012.09.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A chemostat model with discrete time delay is proposed to describe oscillatory behavior in microbial continuous culture. Stability and Hopf bifurcation are discussed, including the changing regularity of bifurcation value. Explicit algorithm for determining the direction of Hopf bifurcation and the stability of periodic solution is derived, using the theory of normal form and center manifold. Finally, some numerical simulations are performed to illustrate the analytical results found. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：3541 / 3552
页数：12
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