On the dynamics of the recursive sequence xn+1=xn−1β+γxn−22xn−4+γxn−2xn−42

In this paper, we investigate the global behavior of the difference equation xn+1=xn−1β+γxn−22xn−4+γxn−2xn−42,n=0,1,… with positive parameters and non-negative initial conditions.