| 具有分布式反馈控制的阶段结构捕食-食饵系统的持久与周期解(英文) |
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| 引用本文： | 刘彦平,王万雄,雒志学.具有分布式反馈控制的阶段结构捕食-食饵系统的持久与周期解(英文)[J].生物数学学报,2012(3):395-405. |
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| 作者姓名： | 刘彦平 王万雄 雒志学 |
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| 作者单位： | [1]甘肃农业大学理学院,甘肃兰州730070 [2]兰州交通大学数理学院,甘肃兰州730070 |
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| 基金项目： | Nature Science Foundation of Gansu province（1010RJZA127） |
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| 摘 要： | 讨论了一个具有时滞与分布式反馈控制的阶段结构捕食-食饵系统,该模型考虑到了两类种群的个体都被划分为幼体与成体这一特征。通过应用比较定理以及重合度理论,获得了一组保证系统持久并存在正周期解的充分条件.
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| 关 键 词： | 持久 周期解 重合度 阶段结构 分布式反馈控制 |
Permanence and Periodic Solution for Stage-Structured Predator-Prey System with Distributing Feedback Controls |
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| LIU Yan-ping WANG Wan-xiong,＊ LUO Zhi-xue.Permanence and Periodic Solution for Stage-Structured Predator-Prey System with Distributing Feedback Controls[J].Journal of Biomathematics,2012(3):395-405. |
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| Authors: | LIU Yan-ping WANG Wan-xiong ＊ LUO Zhi-xue |
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| Institution: | LIU Yan-ping WANG Wan-xiong(1,＊) LUO Zhi-xue2 (1 College of Science,Gansu Agricultural University,Lanzhou Gansu 730070 China) (2 Department of Mathematics,Lanzhou Jiaotong University,Lanzhou Gansu 730070 China) |
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| Abstract: | A non-autonomous stage-structured predator-prey model with delay and distributing feedback control is considered,in which the individuals of each species are divided into two stages i.e.,immature and mature.By using the technique of comparison arguments and coincidence degree theory,a set of sufficient conditions to guarantee the permanence and the existence of positive periodic solutions of the system is provided. |
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| Keywords: | Permanence Periodic solution Coincidence degree Stage structure Distributing feedback control |
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