Bifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays

• 作者: Shunyi Li Wenwu Liu Xiangui Xue
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Three-Stage-Structured PREY-PREDATOR Model Time DELAY HOPF BIFURCATION
• 年，卷（期）: 2013,（7）
• 页码范围: 1059-1064
• 页数: 6页
• 分类号: O1

摘要

A three-stage-structured prey-predator model with discrete and continuous time delays is studied. The characteristic equations and the stability of the boundary and positive equilibrium are analyzed. The conditions for the positive equilibrium occurring Hopf bifurcation are given, by applying the theorem of Hopf bifurcation. Finally, numerical simulation and brief conclusion are given.