Chaos Control of Single-species Difference Model

In allusion to a difference equation of single-species increasing models with species flowing in the special domain,the presence of chaos phenomenon was validated by computing Lyapunov exponent measure by using numerical method and giving the portrait for the variety of Lyapunov exponent with parameter in the system.By applying the OGY method for controlling the chaos,the sufficient conditions of the species that stabilized in the fixed points and the trajectory of period-2 were obtained and chaos phenomenon was eliminated.The correctness of the conclusion was validated by simulation.