| 脉冲非自治比率依赖型捕食者-食饵系统的周期性(英） |
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| 引用本文： | 张伟鹏,朱德明.脉冲非自治比率依赖型捕食者-食饵系统的周期性(英）[J].华东师范大学学报(自然科学版),2007,2007(1):27-35. |
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| 作者姓名： | 张伟鹏 朱德明 |
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| 作者单位： | 华东师范大学,数学系,上海,200062 |
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| 摘 要： | 利用重合度理论中的连续性定理以及先验估计研究了一类具有脉冲的非自治比率依赖型捕食者-食饵系统正周期解的存在性，建立了存在正周期解的充分性判据.
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| 关 键 词： | 非自治 比率依赖型 正周期解 脉冲 重合度 非自治 比率依赖型 正周期解 脉冲 重合度 |
| 文章编号： | 1000-5641（2007）01-0027-09 |
| 收稿时间： | 2005-06 |
| 修稿时间： | 2005-06 |
Periodicity of a Nonautonomous Ratio-Dependent Predator-Prey Systems with Impulses(English) |
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| ZHANG Wei-peng,ZHU De-ming.Periodicity of a Nonautonomous Ratio-Dependent Predator-Prey Systems with Impulses(English)[J].Journal of East China Normal University(Natural Science),2007,2007(1):27-35. |
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| Authors: | ZHANG Wei-peng ZHU De-ming |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | This paper explored the existence of periodic solutions with strictly positive components and impulses of a nonautonomous ratio-dependent predator-prey system.Suf- ficient criteria were obtained for the existence of strictly positive periodic solutions.The approach was based on a continuation theorem in the coincidence degree theory as well as some prior estimates. |
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| Keywords: | non-autonomous ratio-dependent positive periodic solution impulse coincidence degree |
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