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具Allee效应的状态依赖脉冲单种群模型稳定周期解

焦建军 陈兰荪

应用数学2012,Vol.25Issue(2):413-418,6.
应用数学2012,Vol.25Issue(2):413-418,6.

具Allee效应的状态依赖脉冲单种群模型稳定周期解

Stabilization Periodic Solution of a State-dependent Impulsive Single Population Model Subject to Allee Effect

焦建军 1陈兰荪2

作者信息

  • 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
  • 折叠

摘要

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.

关键词

Allee效应/状态依赖脉冲/单边扩散/斑块环境

Key words

Allee effect/State-dependent impulses/Unilateral diffusion/Patchy environment

分类

数理科学

引用本文复制引用

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[J].应用数学,2012,25(2):413-418,6.

基金项目

Supported by the Development Project of Nature Science Research of Guizhou Province Department(2010027),the National Natural Science Foundation of China (10961008),and the Science Technology Foundation of Guizhou(2010J2130) (2010027)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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