| 一个具有时滞和阶段结构的捕食-被捕食模型 |
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| 引用本文： | 王锐利,赵永华,毕卫萍.一个具有时滞和阶段结构的捕食-被捕食模型[J].河南师范大学学报(自然科学版),2009,37(3). |
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| 作者姓名： | 王锐利 赵永华 毕卫萍 |
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| 作者单位： | 1. 济源职业技术学院,基础部,河南,济源,454650
2. 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 基金项目： | 河南省教育厅自然科学基金 |
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| 摘 要： | 研究一个具有时滞和阶段结构的捕食-被捕食模型.运用函数极限方法证明了相应文献中的结论在更弱的条件下也成立,从而得到了保证该生态系统持续生存与绝灭的充分性条件.
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| 关 键 词： | 阶段结构 捕食者-食饵模型 时滞 永久持续生存 绝灭 |
A Stage-Structured Predator-Prey Model with Time Delays |
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| WANG Rui-li,ZHAO Yong-hua,BI Wei-ping.A Stage-Structured Predator-Prey Model with Time Delays[J].Journal of Henan Normal University(Natural Science),2009,37(3). |
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| Authors: | WANG Rui-li ZHAO Yong-hua BI Wei-ping |
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| Institution: | 1.Department of Basic;Jiyuan Vocational and Technical College;Jiyuan 454650;China;2.College of Mathematics and Information Science;Henan Normal University;Xinxiang 453007;China |
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| Abstract: | A delay predator-prey model with stage structure for prey is investigated.By using the limit of function,the conlusions of relative article are proved essentially and they hold in weaker conditions.A set of easily verifiable sufficient conditions are derived for the permanence and extinction of the proposed ecological system. |
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| Keywords: | stage structure predator-prey model time delays permanence extinction |
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