| 一类具有脉冲和功能反应的捕食者-食饵系统的正周期解 |
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| 引用本文： | 秦发金,欧伯群,姚晓洁.一类具有脉冲和功能反应的捕食者-食饵系统的正周期解[J].数学的实践与认识,2009,39(18). |
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| 作者姓名： | 秦发金 欧伯群 姚晓洁 |
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| 作者单位： | 1. 广西柳州师范高等专科学校,数学与计算机科学系,广西,柳州,545004
2. 广东湛江师范学院,数学与计算机学院,广东,湛江,524048 |
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| 基金项目： | 国家自然科学基金(10671133)本文得到导师徐道义教授的悉心指导;特此感谢! |
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| 摘 要： | 利用重合度理论中的延拓定理,研究了一类具脉冲和功能反应的捕食者-食饵系统的正周期解的存在性,得到了更为一般的条件,推广了已有文献的相关结果.
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| 关 键 词： | 脉冲 捕食者-食饵系统 正周期解 存在性 重合度 |
Positive Periodic Solutions for A kind of Predator-Prey System with Impulsive Effect and Functional Response |
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| QIN Fa-jin,OU Bo-qun,YAO Xiao-jie.Positive Periodic Solutions for A kind of Predator-Prey System with Impulsive Effect and Functional Response[J].Mathematics in Practice and Theory,2009,39(18). |
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| Authors: | QIN Fa-jin OU Bo-qun YAO Xiao-jie |
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| Abstract: | With the help of a continuation theorem based on Mawhin's coincidence degree, we study the existence of positive periodic solutions for a kind of predator-prey system with impulsive effect and functional response. A set of easily verifiable sufficient conditions are derived. The results have extend the related reports in the literatures. |
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| Keywords: | impulsive effect predator-prey system positive periodic solutions existence coincidence degree |
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