具有时滞的捕食者——食饵模型正周期解的存在性  

Universal Existence of Positive Periodic Solution to a Predator-Prey Model with a Time Delay

作　　者：金上海[1] 

机构地区：[1]西安理工大学应用数学系,陕西西安710048

出　　处：《绍兴文理学院学报》2009年第7期16-19,共4页Journal of Shaoxing University

摘　　要：文章利用MAWHIN重合度理论中的延拓定理研究了具有HollingII型功能性反应的时滞捕食者—食饵模型的非平凡周期解的存在性,得到了周期解存在的一个充分条件,改进推广了有关文献的已有结果.Theoretically based on the continuation theorem of the coincidence degree theory, the paper studies the universal existence of the extraordinary positive periodic solution for a periodic predator - prey system with Holling Type Ⅱ functional response. Thus, a set of easily verifiable sufficient conditions for its existenee are obtained, which in return updates the related findings .

关 键 词：捕食者-食饵模型 时滞 周期解 重合度 

分 类 号：O175.14[理学—数学]