| 具性别和阶段结构的非自治二种群捕食者-食饵系统研究 |
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| 引用本文： | 徐长永,王美娟,原三领,周艳丽.具性别和阶段结构的非自治二种群捕食者-食饵系统研究[J].生物数学学报,2007,22(3):487-495. |
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| 作者姓名： | 徐长永 王美娟 原三领 周艳丽 |
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| 作者单位： | 1. 上海第二工业大学,经济管理学院,上海,201209
2. 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 讨论了一类食饵具有性别结构，捕食者具有阶段结构的非自治捕食者．食饵系统，运用Liapunov函数方法，得到了该系统一致持续生存的充分条件．对于该模型的周期系统，在适当条件下，存在唯一、全局渐近稳定的周期解．对更具普遍意义的概周期现象，也得出了概周期正解唯一存在且全局渐近稳定的充分条件．
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| 关 键 词： | 捕食者-食饵系统 阶段结构 性别结构 持续生存 周期解 概周期解 |
| 文章编号： | 1001-9626（2007）03-0487-09 |
| 收稿时间： | 2005-12-09 |
| 修稿时间： | 2005年12月9日 |
Study on a Nonautonomous System of Two Species Predator-Prey System with Stage-Structure for Predator and Sex-Stucture for Prey |
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| XU Chang-yong,WANG Mei-juan,YUAN San-ling,ZHOU Yan-li.Study on a Nonautonomous System of Two Species Predator-Prey System with Stage-Structure for Predator and Sex-Stucture for Prey[J].Journal of Biomathematics,2007,22(3):487-495. |
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| Authors: | XU Chang-yong WANG Mei-juan YUAN San-ling ZHOU Yan-li |
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| Institution: | 1 School of Economics and Management, Shanghai Second Polytechnic University, Shanghai 201209 China;2 College of Science, Shanghai University for science and Technology, Shanghai 200093 China |
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| Abstract: | This paper considers a kind of nonautonomous system of two species Predatorprey system with stage-structure for predator and sex-stucture for prey.The sufficient conditions are obtained for guaranteeing the permanence of the system by Liapunov method.Then the existence and uniqueness of the positive periodic solutions and positive almost periodic solutions for corresponding periodic system and almost periodic systems are also discussed. |
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| Keywords: | Predator-prey system Periodic solution Almost periodic solution Stage-structure Sex-stucture Permanence |
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