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
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;
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.2010.5620671
