节点文献
由微分方程所描述的微生物连续培养动力系统(I)
Chemostat Dynamics Models Described by Differential Equations
【摘要】 陆续介绍微生物连续培养 (Chemostat)的基本原理 ,以单种微生物连续培养模型为基础 ,较详细地介绍几类由微分方程所描述的微生物连续培养动力系统模型 ,涉及的问题有解的稳定性 ,系统的持久性 ,周期解和Hopf分支等
【Abstract】 The chemostat is an important laboratory apparatus used to culture microorganism and a complete mathematical theory on it has been developed recently. This paper gives a detailed introduction on how to establish chemostat dynamics models and recently results on stability, persistence and Hopf bifurcation of the chemostat dynamics models described by ordinary differential equations and delayed differential equations.
【关键词】 恒化器(Chemostat);
微分方程;
时滞;
稳定性;
持久性;
Hopf分支;
周期解;
【Key words】 Chemostat; Differential equation; Time delay; Stability; Persistence; Hopf Bifurcation; Periodic Solutions;
【Key words】 Chemostat; Differential equation; Time delay; Stability; Persistence; Hopf Bifurcation; Periodic Solutions;
【基金】 国家教育部留学回国基金;国家自然科学基金资助课题 (No 1 0 3 71 1 2 3 )
- 【文献出处】 微生物学通报 ,Microbiology , 编辑部邮箱 ,2004年05期
- 【分类号】Q93-33
- 【被引频次】32
- 【下载频次】483