| 一类具有脉冲效应的恒化器数学模型 |
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| 引用本文： | 戴启学,向中义. 一类具有脉冲效应的恒化器数学模型[J]. 湖北民族学院学报(自然科学版), 2006, 24(3): 228-231 |
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| 作者姓名： | 戴启学 向中义 |
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| 作者单位： | 信阳师范学院数学系 河南信阳464000(戴启学)，湖北民族学院数学系 湖北恩施445000(向中义) |
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| 摘 要： | 分析了一个简单的具有两种微生物和周期注入营养液的恒化器模型,得到了一个微生物和营养液共存的周期解,另外,还证明了当脉冲周期小于某个临界值时,该周期解是稳定的,当脉冲周期大于该临界值时,稳定性丧失.
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| 关 键 词： | 恒化器模型 脉冲效应 周期解 稳定性 |
| 文章编号： | 1008-8423(2006)03-0228-04 |
| 修稿时间： | 2006-06-19 |
A Mathematical Model of the Chemostat with impulsive Input |
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| DAI Qi-xue,XIANG Zhong-yi. A Mathematical Model of the Chemostat with impulsive Input[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2006, 24(3): 228-231 |
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| Authors: | DAI Qi-xue XIANG Zhong-yi |
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| Abstract: | In this paper,we present and analyze a simple model for a chemostat with two microorganisms and periodically pulsed substrate.We obtain an exact periodic solution with positive concentrations of substrate and one of the microorganism.Further,we prove that the periodic solution is stable if the impulsive period is less than some critical value.When the period is more than the critical value,the periodic solution loses stability. |
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| Keywords: | chemostat model impulsive effect periodic solution stability |
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