| 具有离散和分布时滞的Lotka-Volterra竞争系统 |
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| 引用本文： | 张嘉防,张志平.具有离散和分布时滞的Lotka-Volterra竞争系统[J].数学季刊,2008,23(1):83-88. |
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| 作者姓名： | 张嘉防 张志平 |
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| 作者单位： | ZHANG Jia-fang（School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China）
ZHANG Zhi-ping（College of Mathematics and Information Science,Institute of Applied Mathematics,Henan University,Kaifeng 475001,China） |
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| 摘 要： |
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| 关 键 词： | competition system discrete and distributed time delays stability global asymptotically stable 离散 分布时滞 竞争系统 Distributed Time Delays Discrete global asymptotically stable effect local asymptotic stability positive equilibrium delay system discover distributed time delays analyzing characteristic equation linearized competition system discrete paper |
| 文章编号： | 1002-0462(2008)01-0083-06 |
| 修稿时间： | 2006年10月10 |
The Lotka-Volterra Competition System with Discrete and Distributed Time Delays |
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| ZHANG Jia-fang ZHANG Zhi-ping.The Lotka-Volterra Competition System with Discrete and Distributed Time Delays[J].Chinese Quarterly Journal of Mathematics,2008,23(1):83-88. |
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| Authors: | ZHANG Jia-fang ZHANG Zhi-ping |
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| Institution: | [1]School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China [2]College of Mathematics and Information Science, Institute of Applied Mathematics, Henan University, Kaifeng475001, China |
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| Abstract: | In this paper.the Lotka-Volterra competition system with discrete and distributed time delays is considered.By analyzing the characteristic equation of the linearized system,the local asymptotic stability of the positive equilibrium is investigated.Moreover,we discover the delays don't effect the stability of the equilibrium in the delay system.Finally,we can conclude that the positive equilibrium is global asymptotically stable in the delay system. |
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| Keywords: | competition system discrete and distributed time delays stability global asymptotically stable |
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