| 一般非自治单种群Kolmgorov时滞生态系统的持久性准则及其应用 |
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| 引用本文： | 滕志东. 一般非自治单种群Kolmgorov时滞生态系统的持久性准则及其应用[J]. 新疆大学学报(理工版), 2005, 22(1): 9-16 |
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| 作者姓名： | 滕志东 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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| 基金项目： | Supported by The National Natural Science Foundation of P.R.C(10361004)The Major Projectof The Ministry of Education and The Natural Science Foundation of Xinjiang University |
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| 摘 要： | 本文研究一般非自治单种群Kolmgorov时滞生态系统．关于种群的持久性和系统的正周期解的存在性的充分条件被建立,作为这些准则的应用，一系列特殊的单种群增长的时滞系统被研究．关于种群的持久性和系统的正周期解的存在性的一系列具体的判别准则被建立．
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| 关 键 词： | 单种群 非自治系统 Kolmogorov系统 持久性 正周期解 时滞 |
Permanence in General Nonautonomous Single-species Kolmogorov Systems with Delays and Its Application |
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| TENG Zhi-dong. Permanence in General Nonautonomous Single-species Kolmogorov Systems with Delays and Its Application[J]. Journal of Xinjiang University(Science & Engineering), 2005, 22(1): 9-16 |
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| Authors: | TENG Zhi-dong |
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| Abstract: | This paper studies the general nonautonomous single-species Kolmogorov systems with delays. The sufficient conditions on the permanence of species and the existence of positive periodic solutions are established. As application of these results, the permanence and existence of positive periodic solutions for a series of special single-species growth systems with delays are obtained. |
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| Keywords: | Single species Nonautonomous system Kolmogorov system Permanence Positive periodic solution delay |
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