| 一类污染环境下具有脉冲输入的竞争培养模型的定性分析 |
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| 引用本文： | 王芳,孟新柱,程惠东. 一类污染环境下具有脉冲输入的竞争培养模型的定性分析[J]. 应用数学, 2010, 23(1) |
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| 作者姓名： | 王芳 孟新柱 程惠东 |
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| 作者单位： | 1. 山东科技大学理学院,山东,青岛,266510
2. 山东科技大学信息学院,山东,青岛,266510 |
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| 摘 要： | 本文研究了污染环境下具有脉冲输入的竞争培养模型.利用乘子理论和小振幅扰动法,我们得到了种群灭绝周期解全局渐近稳定的充分条件,同时还得到了种群持久的条件.我们的结果表明环境污染能最终导致种群灭绝.
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| 关 键 词： | 恒化器模型 稳定 灭绝 持久 脉冲输入 |
Dynamical Analysis of a Chemostat-type Competition Model with Pulsed Input in a Polluted Environment |
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| WANG Fang,MENG Xin-zhu,CHENG Hui-dong. Dynamical Analysis of a Chemostat-type Competition Model with Pulsed Input in a Polluted Environment[J]. Mathematica Applicata, 2010, 23(1) |
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| Authors: | WANG Fang MENG Xin-zhu CHENG Hui-dong |
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| Abstract: | In this paper, a chemostat-type competition model with pulsed input in a polluted environment is considered. Using Floquet theory and small amplitude perturbation method, we prove that the microorganism-eradication periodic solution is asymptotically stable if some conditions are needed. At the same time we can find the condition of the nutrient and microorganism are permanent. Our results show that the polluted environment can lead the microorganism species to be extinct. |
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| Keywords: | Chemostat model Stability Extinction Permanence Impulsive input |
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