| 具有阶段结构且食饵有避难所的模型分析 |
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| 引用本文： | 张艳波,王万雄. 具有阶段结构且食饵有避难所的模型分析[J]. 数学的实践与认识, 2011, 41(8) |
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| 作者姓名： | 张艳波 王万雄 |
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| 作者单位： | 1. 兰州交通大学数理与软件工程学院,甘肃兰州,730070
2. 兰州交通大学数理与软件工程学院,甘肃兰州730070;甘肃农业大学理学院,甘肃兰州730070 |
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| 摘 要： | 研究了捕食者具有阶段结构且食饵有避难所的非自治捕食系统.利用Lyapunov函数方法得到了系统持续生存的条件,以及在一定条件下存在唯一全局渐进稳定的周期正解.对于更广泛的概周期现象,也得到了存在唯一全局渐进稳定的概周期正解的充分条件.
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| 关 键 词： | 持久性 阶段结构 避难所 周期解 概周期解 |
Analysis of a Stage-Structured Model with Prey Refuge |
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| ZHANG Yan-bo,WANG Wan-xiong. Analysis of a Stage-Structured Model with Prey Refuge[J]. Mathematics in Practice and Theory, 2011, 41(8) |
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| Authors: | ZHANG Yan-bo WANG Wan-xiong |
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| Affiliation: | ZHANG Yan-bo,~1,WANG Wan-xiong~(1,2) (1.Lanzhou Jiaotong University,Lanzhou 730070,China) (2.Gansu Agricultural University,China) |
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| Abstract: | A nonautonomous prey-predator system with stage-structure and prey refuge has been studied.Lyapunov method is used to study the persistence of the system and global asymptotic stability of the positive periodic solutions and positive almost periodic solutions.The existence and uniqueness of the positive periodic solutions and positive almost periodic solutions corresponding to their own system are also discussed. |
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| Keywords: | persistence stage-structure refuge periodic solutions almost periodic solutions |
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