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

作     者：Zhuang Kejun Li Xiangao Li Zunxian (School of Mathematical Sciences, South China Normal University, Guangzhou 510631) 

出 版 物：《Annals of Differential Equations》 (微分方程年刊（英文版）)

年 卷 期：2006年第22卷第3期

页      面：483-488页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work is supported by the National Natural Sciences Foundation of China (No.10571064) the Natural Sciences Foundation of Guangdong Province(No.04010364) 

主　　题：Hopf bifurcation stability predator-prey system delay 

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.