李梦婷,周文

• 1:安徽师范大学数学与统计学院

摘要(Abstract)：

本文研究了具有时滞和平方根功能反应函数的反应扩散捕食者-食饵系统动力学特性。首先研究了系统正平衡点的存在性，其次通过稳定性分析和Hopf分支分析获得了产生Hopf分支的条件，结果说明时滞对系统的Hopf分支存在影响。最后通过数值模拟验证了相关理论，结果发现具有群体性行为的捕食者-食饵系统拥有丰富的动力学行为。

关键词(KeyWords)： 捕食者-食饵系统;Hopf分支;稳定性分析;时滞;扩散

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（11671013）;; 安徽省自然科学基金（2008085MA13）

作者(Author): 李梦婷,周文

DOI: 10.13757/j.cnki.cn34-1328/n.2023.02.017

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