| 具有时滞的非自治Lotka-Volterra竞争系统的持久与灭绝 |
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| 引用本文： | 滕志东.具有时滞的非自治Lotka-Volterra竞争系统的持久与灭绝[J].数学学报,2001(2). |
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| 作者姓名： | 滕志东 |
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| 作者单位： | 新疆大学数学系!新疆 乌鲁木齐830046 |
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| 基金项目： | 国家教委公派留学回国人员科研启动基金 |
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| 摘 要： | 本文研究具有纯时滞的一般Ｎ－种群非自治Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ竞争系统的持久性和灭绝性．一些新的判别准则被建立．文献［８－１０］中得到的关于无时滞非自治Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ竞争系统的结果被改进和推广．
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| 关 键 词： | 时滞 非自治Lotka-Volterra系统 竞争 持久性 灭绝性 Liapunov函数 |
On the Permanence and Extinction in Nonautonomous Lotka-Volterra Comptitive Systems with Delays |
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| TENG Zhi Dong.On the Permanence and Extinction in Nonautonomous Lotka-Volterra Comptitive Systems with Delays[J].Acta Mathematica Sinica,2001(2). |
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| Authors: | TENG Zhi Dong |
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| Abstract: | In this paper, the permanence and extinction of general nonautonomous Nspecies Lotka-Volterra type competitive systems with pure-delays are studied. Some new criteria are established. The results obtained in 8-10] for nondelayed nonautonomous Lotka-Volterra type competitive systems are improved and extended. |
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| Keywords: | Delay Nonautonomous Lotka-Volterra system Competition Permanence Extinction Liapunov function |
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