具有扩散的捕食系统周期解的全局存在性(英文)

Global existence of periodic solutions of periodic predator-prey system with dispersion

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摘要考虑一类非自治捕食系统 ,食饵种群可以在两个斑块中扩散 ,捕食者种群在一个斑块中不能扩散 ,利用迭合度方法。 This paper reports 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 is derived for the global existence of periodic solutions with strictly positive components by using the method of coincidence degree.

作者叶凯莉

机构地区信阳师范学院数学系

出处《信阳师范学院学报（自然科学版）》 CAS 2003年第4期382-388,共7页 Journal of Xinyang Normal University(Natural Science Edition)

基金 The projectsupported by the NSF of Henan Province(0 2 1 1 0 1 0 40 0 )

关键词正周期解捕食系统迭合度扩散 positive periodic solutions predator-prey system coincidence degree dispersion

分类号 O175.12 [理学—基础数学]

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信阳师范学院学报（自然科学版）

2003年第4期

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具有扩散的捕食系统周期解的全局存在性(英文)

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