| 一个具有时滞的广义的捕食者-食饵系统正周期解的存在性 |
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| 引用本文： | 吴新民,李经文.一个具有时滞的广义的捕食者-食饵系统正周期解的存在性[J].黑龙江大学自然科学学报,2006,23(4):512-518. |
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| 作者姓名： | 吴新民 李经文 |
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| 作者单位： | 邵阳学院,数学系,湖南,邵阳,422000 |
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| 摘 要： | 运用不等式技巧,获得了广义捕食者-食饵系统的先验估计,应用重合度理论的延拓定理,导出了一个具有时滞的广义的捕食者-食饵系统正周期解的存在性准则.
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| 关 键 词： | 广义的捕食者-食饵系统 正周期解 时滞 重合度理论的延拓定理 |
| 文章编号： | 1001-7011(2006)04-0512-07 |
| 修稿时间： | 2005年12月13 |
Existence of a positive periodic solutions for a generalized prey-predator system with delays |
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| WU Xin-min,LI Jing-wen.Existence of a positive periodic solutions for a generalized prey-predator system with delays[J].Journal of Natural Science of Heilongjiang University,2006,23(4):512-518. |
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| Authors: | WU Xin-min LI Jing-wen |
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| Abstract: | A priori estimate for positive periodic solutions is obtained by using inequality technique.By Mawhin's continuous theorem of coincidence degree theory,a criteria for the existence of a positive periodic solution of a generalized prey-predator system with time delays is obtained. |
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| Keywords: | a generalized prey-predator system positive periodic solution delays the continuation theorem of coincidence degree |
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