| 具Allee效应的状态依赖脉冲单种群模型稳定周期解(英文) |
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| 引用本文： | 焦建军,陈兰荪.具Allee效应的状态依赖脉冲单种群模型稳定周期解(英文)[J].应用数学,2012,25(2):413-418. |
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| 作者姓名： | 焦建军 陈兰荪 |
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| 作者单位： | 1. 贵州财经学院数学与统计学院,贵州省经济系统仿真重点实验室,贵州贵阳550004
2. 中国科学院数学与系统科学院数学所,北京,100080 |
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| 基金项目： | The Development Project of Nature Science Research of Guizhou Province Department，The National Natural Science Foundation of China，The Science Technology Foundation of Guizhou |
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| 摘 要： | 研究具Allee效应的状态依赖脉冲单边扩散单种群模型.利用数学分析的方法,得到系统周期解存在性与轨道渐近稳定性的充分条件.
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| 关 键 词： | Allee效应 状态依赖脉冲 单边扩散 斑块环境 |
Stabilization Periodic Solution of a State-dependent Impulsive Single Population Model Subject to Allee Effect |
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| JIAO Jianjun
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CHEN Lansun.Stabilization Periodic Solution of a State-dependent Impulsive Single Population Model Subject to Allee Effect[J].Mathematica Applicata,2012,25(2):413-418. |
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| Authors: | JIAO Jianjun CHEN Lansun |
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| Institution: | 1.School of Mathematics and Statistics,Guizhou Key Laboratory of Economic System Simulation,Guizhou College of Finance & Economics,Guiyang 550004,China;2.Institute of Mathematics,Academia Sinica,Beijing 100080,China) |
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| Abstract: | In this work,we investigate the Allee effect of a single population model with state-dependent impulsively unilateral diffusion.With the approaches of mathematical analysis,we obtain the sufficient conditions of the existence and orbitally asymptotic stability of periodic solution of the investigated system. |
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| Keywords: | Allee effect State-dependent impulses Unilateral diffusion Patchy environment |
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