| 斑块环境下具有Holling-Ⅱ的捕食-食饵系统的稳定性 |
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| 引用本文： | 黄灿云,丁红,岳甲龙.斑块环境下具有Holling-Ⅱ的捕食-食饵系统的稳定性[J].兰州理工大学学报,2009,35(3). |
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| 作者姓名： | 黄灿云 丁红 岳甲龙 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 摘 要： | 研究两个斑块环境下的捕食-食饵模型,该模型是食饵具有阶段性结构及捕食者之间具有扩散的Holling-Ⅱ类功能性反应的结构. 通过构造适当的Lyapunov函数,导出系统正平衡点全局稳定的充分条件.举例说明所得结果的正确性.
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| 关 键 词： | 阶段结构 全局稳定 Lyapunov函数 比较原理 |
Stability of predator-prey system with Holling-Ⅱ in patch-environment |
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| HUANG Can-yun,DING Hong,YUE Jia-long.Stability of predator-prey system with Holling-Ⅱ in patch-environment[J].Journal of Lanzhou University of Technology,2009,35(3). |
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| Authors: | HUANG Can-yun DING Hong YUE Jia-long |
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| Institution: | HUANG Can-yun,DING Hong,YUE Jia-long(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China) |
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| Abstract: | A Holling-II predator-prey model in two patch-environment was studied,where the stage structure was with the prey and the dispersal was with the predator.Sufficient conditions for global asymptotic stability of the positive equilibrium were derived by constructing a suitable Lyapunov functional.An example was given to illustrate the efficiency of the result obtained. |
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| Keywords: | stage structure global stability Lyapunov functional comparison principle |
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