| 具有无穷时滞的Lotka-Volterra食物链模型的全局吸引性 |
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| 引用本文： | 徐瑞,郝飞龙.具有无穷时滞的Lotka-Volterra食物链模型的全局吸引性[J].应用数学,2004,17(3):338-344. |
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| 作者姓名： | 徐瑞 郝飞龙 |
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| 作者单位： | 军械工程学院数学系,河北,石家庄,050003 |
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| 摘 要： | 研究一类具有无穷时滞的n种群Lotka Volterra食物链系统 .通过构造适当的Lya punov泛函 ,得到了保证该系统正平衡点全局吸引的充分条件 .
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| 关 键 词： | Lotka-Volterra模型 无穷时滞 全局吸引 Lyapunov泛函 |
Global Attractiveness in Lotka-Volterra Food-Chain Model with Infinite Delays |
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| Abstract.Global Attractiveness in Lotka-Volterra Food-Chain Model with Infinite Delays[J].Mathematica Applicata,2004,17(3):338-344. |
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| Authors: | Abstract |
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| Abstract: | An n-species Lotka-Volterra type food-chain system with infinite delays is investigated.By constructing suitable Lyapunov functionals,sufficient conditions are derived for the global attractiveness of a positive equilibrium of the system. |
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| Keywords: | Lotka-Volterra model Infinite delay Global attractiveness Lyapunov functional |
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