| 一类时滞非自治"食饵-捕食者"系统的持续性和全局稳定性 |
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| 引用本文： | 范良君,徐望斌.一类时滞非自治"食饵-捕食者"系统的持续性和全局稳定性[J].湖北师范学院学报(自然科学版),2006,26(1):39-45. |
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| 作者姓名： | 范良君 徐望斌 |
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| 作者单位： | 1. 湖南常德职业技术学院,信息工程系,湖南,常德,415000
2. 湖北师范学院,数学系,湖北,黄石,435002 |
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| 摘 要： | 研究一个不含负反馈的时滞非自治三物种的“食饵-捕食者”Lotka-Volterra系统,旨在证明,在适当条件下,此系统是一致持续的,通过构造一个合适的Lyapunov泛函方程组,我们可以证明此系统的全局稳定性。
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| 关 键 词： | 一致持续生存 全局稳定性 时滞 Lyapunov泛函方程组 |
| 文章编号： | 1009-2714(2006)01-0039-07 |
| 收稿时间： | 10 20 2005 12:00AM |
| 修稿时间： | 2005年10月20 |
Global stability and persistence of delayed nonautonomous predator-prey system |
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| FAN Liang-jun,XU Wang-bin.Global stability and persistence of delayed nonautonomous predator-prey system[J].Journal of Hubei Normal University(Natural Science),2006,26(1):39-45. |
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| Authors: | FAN Liang-jun XU Wang-bin |
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| Institution: | 1. Department of Information Technology, Changde Vocational College, Changde 415000, China; 2. Department of Mathematics, Hubei Normal University, Huangshi 435002, China |
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| Abstract: | A delayed nonautonomous three-species predator-prey Lotka-Volterra system without dominating instantaneous negative feedback is investigated. It is proved that the system is uniformly persistent under appropriate conditions. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the glabal stability of system. |
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| Keywords: | uniform persistence global stability delay Lyapunov functional |
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