By using the theory of bifurcations of dynamical systems, the competition model in duopoly of bounded rationality
with learning effect is investigated, and the existence and stability of the equilibrium point of this model are discussed.
Simulation results show that the speed of quantity adjustment has an obvious impact on the results of model. Nash equilibrium
of model enable to be maintainable by using delayed feedback control method when the model in chaos state, and who
actualizes the chaos control method can get extra profit from the chaos control process.