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一类带有阶段结构的比率依赖捕食系统周期解 被引量：3

Periodic solutions of a ratio dependent predator-prey system with stage structure for prey
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摘要 考虑一类在周期环境中的比率依赖捕食系统,食饵种群分为幼年和成年两个阶段,该系统中捕食者的增长函数是成年食饵与捕食者的比率函数,幼年食饵按照一定比例转化成年食饵.通过运用拓扑度方法,获得了该系统至少存在一组可易验证的严格正周期解的充分条件. This paper reports a periodic ration-dependent predator-prey model in which prey is divided into two classes:immature and mature,immature prey changes into mature prey with a proportionality,while the per capital predator growth rate shall be a function of the ration of the mature prey to predator abundance.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 蔡礼明 方勤华
机构地区 信阳师范学院数学与信息科学学院
出处 《信阳师范学院学报（自然科学版）》 CAS 2004年第3期255-260,共6页 Journal of Xinyang Normal University(Natural Science Edition)
基金 河南省自然科学基金资助项目(0211010400)
关键词 周期解 比率依赖 捕食系统 拓扑度 periodic solution ratio-dependent stage structure coincidence degree
分类号 O175.1 [理学—基础数学]
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参考文献19

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同被引文献23

  • 1Walter W. Ordinary differential equations (graduate texts in mathematics) [ M]. Now York: Springer,1998.
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  • 8Song X Y, Chen L S. Optimal Harvesting and Stability for a Two Species Competitive System with Stage Structure[ J ]. Mathematical Biosciences ( S0025-5564 ), 2001,170(2) : 173-186.
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引证文献3

二级引证文献2

信阳师范学院学报（自然科学版）
2004年 第3期

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