| 具有扩散和时滞的捕食系统的持续生存 |
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| 引用本文： | 崔景安.具有扩散和时滞的捕食系统的持续生存[J].数学学报,2005,48(3):479-488. |
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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： | 国家自然科学基金资助项目(10471066)
江苏省高校自然科学基金项目(02KJB110004) |
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| 摘 要： | 本文研究具有一般功能性反应和时滞的周期捕食系统的持续生存和周期解,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： | 功能反应 时滞 持久性 |
Permanence of Predator-Prey System with Dispersal and Time Delay |
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| Jing An CUI.Permanence of Predator-Prey System with Dispersal and Time Delay[J].Acta Mathematica Sinica,2005,48(3):479-488. |
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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: | This paper considers the permanence and periodic solution of a periodic predator-prey system with predator functional response and time delay; a sufficient and necessary condition is obtained for the permanence of this system. The system has a positive ω periodic solution under this condition; we improve some known results. |
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| Keywords: | Functional response Time delay Permanence |
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