Title :
Local and global Hopf bifurcations for a predator-prey system with delays
Author :
Wang, Hongtao ; Wang, Hongmei ; Jiang, Zhichao
Author_Institution :
Dept. of Inf., Manage. & Eng., Hebei Coll. of Finance, Baoding, China
Abstract :
In this paper, the predator-prey system with two delays is investigated. The stability of the positive equilibrium is discussed by analyzing the associated characteristic transcendental equations. The conditions to guarantee the global existence of periodic solutions are given. At last, some numerical simulations to support the analytical conclusions are carried out.
Keywords :
bifurcation; delays; ecology; predator-prey systems; stability; Hopf bifurcation; characteristic transcendental equations; delays; positive equilibrium stability; predator-prey system; Integrated circuits;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5622889
