DocumentCode
533147
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
Volume
10
fYear
2010
fDate
22-24 Oct. 2010
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICCASM.2010.5622889
Filename
5622889
Link To Document