| 具有脉冲毒素投放和营养再生的恒化器模型 |
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| 引用本文： | 傅晓钒,张树文.具有脉冲毒素投放和营养再生的恒化器模型[J].纯粹数学与应用数学,2012(2):262-268. |
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| 作者姓名： | 傅晓钒 张树文 |
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| 作者单位： | 集美大学理学院,福建厦门361021 |
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| 基金项目： | 福建省自然科学基金(2008J0199) |
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| 摘 要： | 研究具有脉冲毒素投放和营养再生的恒化器模型.利用脉冲微分方程的比较定理和小扰动方法得到了边界周期解全局渐近稳定的充分条件,进而得到了系统持续生存的充分条件.结果表明毒素环境将会导致微生物种群的灭绝.
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| 关 键 词： | 脉冲毒素投放 营养再生 恒化器 持续生存 |
A chemostat model with impulsive toxicant input and nutrient recycling |
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| Fu Xiaofan,Zhang Shuwen.A chemostat model with impulsive toxicant input and nutrient recycling[J].Pure and Applied Mathematics,2012(2):262-268. |
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| Authors: | Fu Xiaofan Zhang Shuwen |
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| Institution: | (School of Sciences,Jimei University,Xiamen 361021,China) |
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| Abstract: | In this paper,we consider a chemostat model with impulsive toxicant input and nutrient recycling.By comparison theory and small amplitude perturbation method,we obtain the sufficient condition for the global asymptotic stability of boundary periodic solution.Furthermore,the sufficient condition for the permanence of the system is obtained.The results show that poisonous environment will lead the microorganism species to be extinct. |
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| Keywords: | impulsive toxicant input nutrient recycling chemostat permanence |
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