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一类捕食者-食饵模型正周期解的存在性 被引量:1

Global existence of positive periodic solution of a predator-prey model
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摘要 利用MAWHIN重合度理论中的延拓定理研究了具有Holling 型功能性反应的捕食者-食饵系统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,并对一些参数和初始值进行了数值模拟. By using the continuation theorem based on coincidence degree theory,the global existence of positive periodic solution for a periodic predatorprey system with Holling typeⅢ functional response is studied in this paper.A set of easily verifiable sufficient conditions are obtained.Numerical simulations are given to show our theoretical result.
出处 《纺织高校基础科学学报》 CAS 2003年第3期200-204,207,共6页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金资助项目(30170823)
关键词 捕食者-食饵模型 HollingⅢ型功能性反应 周期解 重合度 predator-prey system holling type Ⅲ functional response periodic solution coincidence degree
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