This paper studies a dynamic model of two websites competition model with feedback control. Stability of the equilibrium and local Hoff bifurcation in delayed two websites competition model with feedback control are both investiated. 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.

Stability; Hopf bifiircation; feedback control; competitive websites model

Southeast University; Qingdao University