LOCAL AND GLOBAL HOPF BIFURCATIONS FOR A PREDATOR-PREY SYSTEM WITH TWO DELAYS

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2006,（3）
• 页码范围: 483-488
• 页数: 6页
• 分类号: O17

摘要

In this paper, the Leslie predator-prey system with two delays is studied. The stability of the positive equilibrium is discussed by analyzing the associated characteristic transcendental equation. The direction and stability of the bifurcating periodic solutions are determined by applying the center manifold theorem and normal form theory. The conditions to guarantee the global existence of periodic solutions are given.