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具有Holling-Ⅱ型时滞捕食系统正周期解的存在性

Existence of Positive Periodic Solutions of Predator-Prey System with Holling-Ⅱ and Time Delay
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摘要 研究了一类具有功能性反应(Holling-Ⅱ)的时滞捕食系统。利用重合度理论证明并得到了系统正周期解存在性的充分条件。 This paper investigates a three species of predator-prey chains models with a delay of time and the Holling- Ⅱ functional response. By using Gains and Mawhin＇s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are obtained to guarantee the existence of positive periodic solutions of the system.
作者 唐小平 李靖云
机构地区 柳州师范高等专科学校数学与计算机科学系
出处 《柳州师专学报》 2006年第3期96-100,共5页 Journal of Liuzhou Teachers College
关键词 捕食-食饵模型 时滞 功能性反应 周期解 重合度理论 predator-prey model time delay functional response coincidence degree theory periodic solution
分类号 O175.14 [理学—基础数学]
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参考文献13

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二级参考文献11

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柳州师专学报
2006年 第3期

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