| 由微分方程所描述的微生物连续培养动力系统(Ⅰ) |
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| 引用本文： | 付桂芳,马万彪. 由微分方程所描述的微生物连续培养动力系统(Ⅰ)[J]. 微生物学通报, 2004, 31(5): 136-139 |
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| 作者姓名： | 付桂芳 马万彪 |
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| 作者单位： | 1. 北京科技大学应用科学学院数力系,北京,100083;内蒙古科技大学理学院数学系,包头,014010
2. 北京科技大学应用科学学院数力系,北京,100083 |
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| 基金项目： | 国家教育部留学回国基金与国家自然科学基金资助课题(No.10371123) |
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| 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．
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| 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 |
| 文章编号： | 0253-2654(2004)05-0136-04 |
| 修稿时间： | 2004-03-22 |
Chemostat Dynamics Models Described by Differential Equations |
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| FU Gui-Fang , MA Wan-Biao. Chemostat Dynamics Models Described by Differential Equations[J]. Microbiology China, 2004, 31(5): 136-139 |
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| Authors: | FU Gui-Fang MA Wan-Biao |
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| Affiliation: | FU Gui-Fang 1,2** MA Wan-Biao1 |
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| 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. |
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| Keywords: | Chemostat Differential equation Time delay Stability Persistence Hopf Bifurcation Periodic Solutions |
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