| 时滞Lotka-Volterra系统的持久性和周期解 |
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| 引用本文： | 崔景安.时滞Lotka-Volterra系统的持久性和周期解[J].数学学报,2004,47(3):511-520. |
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| 作者姓名： | 崔景安 |
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| 作者单位： | 南京师范大学数学系,南京,210097 |
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| 基金项目： | 江苏省高校自然科学基金(02KJB110004) |
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| 摘 要： | 本文研究具有时滞周期捕食系统的持久性和周期解,得到了系统永久持续生存的充要条件。在此条件下系统存在正的ω周期解,改进了一些已知结果。
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| 关 键 词： | 时滞 持久性 周期解 |
| 文章编号： | 0583-1431(2004)03-0511-10 |
Permanence and Periodic Solution of Lotka-Volterra System with Time Delay |
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| Jing An CUI.Permanence and Periodic Solution of Lotka-Volterra System with Time Delay[J].Acta Mathematica Sinica,2004,47(3):511-520. |
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| Authors: | Jing An CUI |
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| Institution: | Jing An CUI Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China |
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| Abstract: | In this paper, we consider the permanence and periodic solation of a peri-
odic predator-prey system, and a sufficient and necessary condition is obtained for the
permanence of this system. The system has a positive w periodic solution under this
condition, and we improve some known results. |
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| Keywords: | Time delay Permanence Periodic solution |
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