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带有扩散的捕食与被捕食系统的周期解的存在性(英文) 被引量:1

Existence of Periodic Solutions for Predator-Prey System with Dispersion
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摘要 研究了一类非自治食饵种群在两个斑块之间扩散的捕食与被捕食系统,同时捕食种群固定在一个斑块不会扩散.运用叠合度的方法得到了正周期解的全局存在性的充分条件. This paper introduces a nonautonomous predator-prey model in which prey species can disperse between two patches, while the predator species is confined to one patch and cannot disperse. A set of easily verifiable sufficient conditions are derived for the global existence of periodic solutions with strictly positive components by using the method of coincidence degree.
出处 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2008年第3期329-333,共5页 Journal of Xinyang Normal University(Natural Science Edition)
基金 The NNSF of China(10471117) The Youth Science Foundation of Xinyang Normal University(20070209) The NSF of Educational Department of Henan Province(2007110028)
关键词 正周期解 捕食与被捕食系统 叠合度 扩散 positive periodic solutions predator-prey system coincidence degree dispersion
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