毕殿杰,陈涛

• 1:安徽财经大学管理科学与工程学院

摘要(Abstract)：

研究一类捕食者具有阶段结构和Crowley-Martin功能性反应的时滞捕食系统.通过分析特征方程根的分布,得到系统正平衡点的局部稳定性和局部Hopf分叉的存在性的充分条件.进一步,利用中心流形定理和规范型理论,给出确定Hopf分叉方向和分叉周期解稳定性的计算公式.最后,利用仿真实例证明了理论分析结果的正确性.

关键词(KeyWords)： Hopf分叉;时滞;捕食系统;周期解

Abstract:

Keywords:

基金项目(Foundation): 2014年安徽财经大学校级项目(ACKY1433);; 2013年安徽财经大学校级重点项目(ACKY1305ZDB)

作者(Author): 毕殿杰,陈涛

DOI: 10.16393/j.cnki.37-1436/z.2014.02.001

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