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具有扩散的捕食系统周期解的全局存在性
引用本文:叶凯莉.具有扩散的捕食系统周期解的全局存在性[J].信阳师范学院学报(自然科学版),2003,16(4):382-388.
作者姓名:叶凯莉
作者单位:信阳师范学院,数学系,河南,信阳,464000
基金项目:The projectsupported by the NSF of Henan Province(0 2 1 1 0 1 0 40 0 )
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,得到了一组易验证的系统存在严格正周期解的充分条件.

关 键 词:正周期解  捕食系统  迭合度  扩散

Global existence of periodic solutions of periodic predator-prey system with dispersion
Abstract.Global existence of periodic solutions of periodic predator-prey system with dispersion[J].Journal of Xinyang Teachers College(Natural Science Edition),2003,16(4):382-388.
Authors:Abstract
Abstract: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.
Keywords:positive periodic solutions  predator-prey system  coincidence degree  dispersion
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