DocumentCode
532515
Title
Local and global hopf bifurcations in a delayed predator-prey system
Author
Jiang, Zhichao ; Cheng, Guangtao
Author_Institution
Fundamental Sci. Dept., North China Inst. of Astronaut. Eng., Langfang, China
Volume
6
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 equi-librium is discussed by analyzing the associated char-acteristic 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; predator-prey systems; stability; associated characteristic transcendental equations; delayed predator-prey system; local-global Hopf bifurcations; positive equilibrium stability;
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.2010.5620671
Filename
5620671
Link To Document