| 食饵具有阶段结构的捕食-食饵系统的动力学行为 |
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| 引用本文： | 张嘉防,张志平.食饵具有阶段结构的捕食-食饵系统的动力学行为[J].数学季刊,2007,22(1):29-37. |
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| 作者姓名： | 张嘉防 张志平 |
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| 作者单位： | 1.School of Mathematics and Statistics，Lanzhou University，Lanzhou 730000，China; 2.College of Mathematics and Information Science，Henan University，Kaifeng 475001，China;Institute of Applied Mathematics，Henan University，Kaifeng 475001，China |
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| 摘 要： | In this paper,we considered the predator-prey system with stage-structure for prey,where the predators predate immature preys only.The positivity and boundedness of the solutions and asymptotic stability of equilibrium were firstly discussed,and then uniformly persistent sufficient conditions of populations were found.
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| 关 键 词： | 捕食者-食饵系统 阶段结构 动态行为 全局渐进稳定 |
| 文章编号： | 1002-0462(2007)01-0029-09 |
| 修稿时间： | 2006年10月10 |
Dynamic Behavior of a Predator-prey System with Stage-structure for Prey |
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| ZHANG Jia-fang,ZHANG Zhi-ping.Dynamic Behavior of a Predator-prey System with Stage-structure for Prey[J].Chinese Quarterly Journal of Mathematics,2007,22(1):29-37. |
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| Authors: | ZHANG Jia-fang ZHANG Zhi-ping |
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| Institution: | [1]School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China [2]College of Mathematics and Information Science, Henan University, Kaifeng 475001, China [3]Institute of Applied Mathematics, Henan University, Kaifeng 475001, Ghina |
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| Abstract: | In this paper,we considered the predator-prey system with stage-structure for prey,where the predators predate immature preys only.The positivity and boundedness of the solutions and asymptotic stability of equilibrium were firstly discussed,and then uniformly persistent sufficient conditions of populations were found. |
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| Keywords: | stage-structure global asymptotic stability predator-prey Lyapunov functions uniform persistence |
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