Title :
Stability and Hopf bifurcation in a delayed feedback control competitive websites model
Author :
Zunshui Cheng ; Dehao Li
Author_Institution :
Sch. of Math. & Phys., Qingdao Univ. of Sci. & Technol., Qingdao, China
Abstract :
This paper studies a dynamic model of two websites competition model with feedback control. Stability of the equilibrium and local Hopf bifurcation in delayed two websites competition model with feedback control are both investigated. The results showed that when the time delay is increase, the equilibrium will lose its stability and a sequence of Hopf bifurcations will occur. Numerical example illustrates the obtained results.
Keywords :
Web sites; bifurcation; feedback; nonlinear differential equations; stability; Hopf bifurcation; competitive Web sites model; delayed feedback control; stability; Bifurcation; Delay effects; Feedback control; Mathematical model; Numerical stability; Stability analysis; Steady-state; Hopf bifurcation; Stability; competitive websites model; feedback control;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162419
