| 具有自食和阶段结构的捕食系统的周期解 |
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| 引用本文： | 李秋英,张凤琴,刘汉武.具有自食和阶段结构的捕食系统的周期解[J].吉林林学院学报,2009(3):205-209. |
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| 作者姓名： | 李秋英 张凤琴 刘汉武 |
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| 作者单位： | 运城学院应用数学系,山西运城044000 |
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| 基金项目： | 山西省自然科学基金项目（20051010）;运城学院科研项目（2008128）. |
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| 摘 要： | 一些生物的生长具有阶段性，在种群内部有自食现象，当这种生物作为捕食者，可以建立具有时滞、自食现象和阶段结构的捕食系统,讨论了这一系统解的非负性和有界性，利用重合度定理，得到了周期解存在的充分条件．
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| 关 键 词： | 阶段 重合度 时滞 自食 周期解 |
Periodic Solution of a Predator-prey System with Stage-Structure and Cannibalism |
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| Authors: | LI Qiu-ying ZHANG Feng-qin LIU Han-wu |
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| Institution: | ( Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, China ) |
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| Abstract: | Some species are cannibalism and their lives can be divided into several stages. When this kind of species is predator, a predator-prey system with delay, stage-structure and cannibalism can be formulated. For this system, the non-negativity and boundedness of solution are discussed. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory. |
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| Keywords: | Stage Coincidence degree Delay Cannibalism Periodic solution |
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