| 一类带有阶段结构的比率依赖捕食系统周期解 |
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| 引用本文： | 蔡礼明,方勤华. 一类带有阶段结构的比率依赖捕食系统周期解[J]. 信阳师范学院学报(自然科学版), 2004, 17(3): 255-260 |
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| 作者姓名： | 蔡礼明 方勤华 |
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| 作者单位： | 信阳师范学院,数学与信息科学学院,河南,信阳,464000 |
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| 基金项目： | 河南省自然科学基金资助项目(0211010400) |
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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易验证的严格正周期解的充分条件。
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| 关 键 词： | 周期解 比率依赖 捕食系统 拓扑度 |
| 文章编号： | 1003-0972(2004)03-0255-06 |
Periodic solutions of a ratio dependent predator-prey system with stage structure for prey |
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| CAI Li-ming,FANG Qin-hua. Periodic solutions of a ratio dependent predator-prey system with stage structure for prey[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2004, 17(3): 255-260 |
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| Authors: | CAI Li-ming FANG Qin-hua |
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| Abstract: | 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. |
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| Keywords: | periodic solution ratio-dependent stage structure coincidence degree |
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