HOPF BIFURCATION IN A PREDATOR-PREY MODEL WITH TWO DELAYS

• 作者: Yingguo Li
• 来源期刊: 微分方程年刊：英文版
• 学科: 生物学
• 关键词: 捕食模型 分支分析 多时滞 生态系统 分岔参数 特征方程 数值模拟 稳定性
• 年，卷（期）: 2014,（3）
• 页码范围: 312-317
• 页数: 6页
• 分类号: Q141

摘要

In this paper,a predator-prey ecosystem with two delays is considered.Firstly,the stability of the equilibrium of the system is investigated by analyzing the characteristic equation.Secondly,by choosing the sum of the two delays as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the parameter passes through a certain critical value.Finally,in order to illustrate our theoretical analysis,some numerical simulations are also included.更多还原