| 时滞捕食者-食饵系统的稳定性 |
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| 引用本文： | 曾志刚.时滞捕食者-食饵系统的稳定性[J].湖北师范学院学报(自然科学版),2002,22(3):24-26. |
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| 作者姓名： | 曾志刚 |
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| 作者单位： | 湖北师范学院,数学系,湖北,黄石,435002 |
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| 摘 要： | 考虑一类带两个时滞项的捕食者——食饵系统的稳定性，利用比较方法得到系统局部渐近稳定的充分条件，放宽了已有文献对时滞项的限制。同时该方法可以推广到其多时滞和变系数，特别是周期系统，概周期系统的情形。
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| 关 键 词： | 时滞捕食者－食饵系统 局部渐近稳定性 概周期系统 平衡点 |
| 文章编号： | 1009-2714(2002)03-0024-03 |
| 修稿时间： | 2002年5月3日 |
Stability of Predator-Prey System with Delays |
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| ZENG Zhi,gang.Stability of Predator-Prey System with Delays[J].Journal of Hubei Normal University(Natural Science),2002,22(3):24-26. |
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| Authors: | ZENG Zhi gang |
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| Abstract: | In this paper,stability for predator prey system with two delays has been discussed.Some sufficient conditions have been obtained to guarantee the locally asymptotical stability of the equilibrium via the comparison approach.And,the technique of the comparison approach used in this paper can also be used to analyze the predator prey system with more general delays and nonautonomous coefficients,especially periodic and almost periodic coefficients. |
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| Keywords: | perdator prey system delay stability |
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