| 具有时滞Michaelis-Menten型功能性反应的有放养的捕食链非自治扩散系统的一些性态 |
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| 引用本文： | 欧柳曼,罗桂烈.具有时滞Michaelis-Menten型功能性反应的有放养的捕食链非自治扩散系统的一些性态[J].应用数学,2001(Z1). |
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| 作者姓名： | 欧柳曼 罗桂烈 |
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| 作者单位： | 广西师范大学数学与计算机科学系 广西师范大学数学与计算机科学系 广西桂林 广西桂林 |
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| 摘 要： | 本文讨论了有放养的时滞Michaelis Menten型功能性反应的捕食链 .应用微分不等式和V函数法 ,在一定条件下讨论了该系统的一致持久性 ,得到了概周期解的存在唯一性及其全局吸引性 .
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| 关 键 词： | 捕食链 一致持久性 概周期解 |
The Property of a Nonautonomous Diffussive Food Chain with Michaelis-Menten Type Funtional Response and Grazing with Time Delay |
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| OU Liu-man,LUO Gui-lie.The Property of a Nonautonomous Diffussive Food Chain with Michaelis-Menten Type Funtional Response and Grazing with Time Delay[J].Mathematica Applicata,2001(Z1). |
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| Authors: | OU Liu-man LUO Gui-lie |
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| Abstract: | In this paper, we discuss a nonautonomous diffusive food chain with Michaelis-Menten type functional response and grazing with time delay. By using the comparing theorem and V-function method, we prove the uniform persistence of this system. As an almost periodic system, we abtain the existence and uniqueness of a positive almost periodic solution and further prove its global attractivity. |
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| Keywords: | Food chain Uniform persistence Almost periodic solution |
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