| 具有脉冲输入和资源循环的恒化器模型 |
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| 引用本文： | 贾建文,桑曼纪.具有脉冲输入和资源循环的恒化器模型[J].数学研究,2013(2):194-205. |
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| 作者姓名： | 贾建文 桑曼纪 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西临汾041004 |
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| 摘 要： | 研究了一类在污染环境下的具有脉冲输入和资源循环的Monod型恒化器模型,利用Floquet定理和脉冲微分方程解的比较定理,我们得出了系统的微生物灭绝周期解全局渐近稳定以及系统持久的充分条件.
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| 关 键 词： | 恒化器 脉冲 全局渐近稳定性 持久性 |
A Chemostat Model with Impulsive Input and Nutrient Recycling |
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| Jia Jianwen Sang Manji.A Chemostat Model with Impulsive Input and Nutrient Recycling[J].Journal of Mathematical Study,2013(2):194-205. |
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| Authors: | Jia Jianwen Sang Manji |
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| Institution: | Jia Jianwen Sang Manji (School of Mathematics and Computer Science, Shanxi Normal University, Linfen Shanxi 041004) |
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| Abstract: | In this paper, we investigate a Monod-type chemostat model with impulsive input and nutrient recycling in a polluted environment. By using the comparison theorem of impulsive differential equations and Floquet theory, we obtain the sufficient conditions for the global asymptotical stability of the microorganisms extinction periodic solution and the permanence of this system. |
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| Keywords: | Chemostat Impulse Global asymptotically stable Permanence |
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