| 具有时滞的比率型Chemostat模型的稳定性分析 |
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| 引用本文： | 董庆来,李丹,马万彪.具有时滞的比率型Chemostat模型的稳定性分析[J].石家庄学院学报,2007,9(3):38-42. |
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| 作者姓名： | 董庆来 李丹 马万彪 |
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| 作者单位： | 北京科技大学,应用科学学院,北京,100083 |
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| 摘 要： | 研究了一类具有时滞的、增长函数为比率确定型的微生物连续培养模型,详细讨论了解的存在性、有界性和平衡点的局部稳定性,并利用Lyapunov-LaSalle不变性原理证明了边界平衡点的全局渐近稳定性.
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| 关 键 词： | 时滞 稳定性 Lyapunov-LaSalle不变性原理 |
| 文章编号： | 1673-1972（2007）03-0038-05 |
| 收稿时间： | 2006-11-21 |
| 修稿时间： | 2006年11月21 |
A Stability Analysis of a Ratio-dependent Chemostat Model with Time Delay |
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| DONG Qing-lai,LI Dan,MA Wan-biao.A Stability Analysis of a Ratio-dependent Chemostat Model with Time Delay[J].Journal of Shijiazhuang University,2007,9(3):38-42. |
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| Authors: | DONG Qing-lai LI Dan MA Wan-biao |
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| Abstract: | Based on some biological meanings,a class of ratio-dependent Chemostat model with time delay is considered.A detailed analysis on existence and boundedness of its solutions and local asymptotic stability of its equilibria is carried out.Using classical Lyapunov-LaSalle invariance principle,it is shown that,while the interior equilibrium is not feasible,the washout equilibrium(i.e.boundary equilibrium) is globally asymptotically stable for any time delay. |
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| Keywords: | Chemostat |
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