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具有保护区和避难所效应的捕食系统周期解的存在性 被引量:2

Existence of periodic solutions to predator-prey systems with protected areas and refuges
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摘要 研究一类具有保护区和避难所效应的捕食系统周期解存在性.利用重合度理论,得到系统至少存在8个正周期解的充分条件,并给出例子说明结果的有效性. The existence of periodic solution for a kind of predator - prey systems with protected areas and refuges are discussed in this paper. By means of the coincidence degree theory, the sufficient conditions of existence for at least eight positive periodic solutions are given. An example is given to illustrate the effectiveness of our resuhs.
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第4期423-428,共6页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省自然科学基金资助项目(2010J01005) 福州大学科技发展基金资助项目(2010-XQ-24)
关键词 正周期解 重合度 捕食系统 避难所 positive periodic solutions coincidence degree predator - prey systems refuges
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参考文献9

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  • 8张艳波,王万雄,段永红.一类具第三类功能反应且食饵具有避难所的捕食系统的分析[J].数学的实践与认识,2010,40(24):149-154. 被引量:12
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