| 具有脉冲效应的非自治捕食者-食饵系统周期正解 |
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| 引用本文： | 张树文,陈兰荪.具有脉冲效应的非自治捕食者-食饵系统周期正解[J].大连理工大学学报,2004,44(3):320-325. |
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| 作者姓名： | 张树文 陈兰荪 |
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| 作者单位： | 大连理工大学,应用数学系,辽宁,大连,116024;鞍山师范学院，生物数学研究所，辽宁，鞍山，114005;中国科学院,数学研究所,北京,100080 |
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| 基金项目： | 国家自然科学基金资助项目(10171106). |
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| 摘 要： | 讨论了一类具有脉冲效应的非自治捕食者-食饵系统的动力学行为．利用脉冲微分方程的比较定理．证明了系统的有界性，讨论了平凡周期解与半平凡周期解(食饵灭绝周期解)的局部稳定性．进而利用重合度理论证明了系统周期正解的存在性．
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| 关 键 词： | 脉冲效应 周期正解 捕食者-食饵系统 重合度 |
| 文章编号： | 1000-8608(2004)03-0320-06 |
Positive periodic solutions of nonautonomous predator-prey system with impulsive effect |
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| ZHANGShu-wen.Positive periodic solutions of nonautonomous predator-prey system with impulsive effect[J].Journal of Dalian University of Technology,2004,44(3):320-325. |
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| Authors: | ZHANGShu-wen |
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| Institution: | ZHANGShu-wen~ |
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| Abstract: | The dynamical behaviour of nonautonomous predator-prey system with impulsive effect is discussed. The boundedness of system is proved by the comparative theme of impulsive differential equation, and the local stability of trivial or semi-trivial positive periodic solution (prey annihilation periodic solution) is tested. The existence of the strictly positive solution of the system is proved by using coincidence degree. |
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| Keywords: | impulsive effect positive periodic solution predator-prey system coincidence degree |
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