Global attractivity of the recursive sequence xn+1=(α−βxn−1)/(γ+xn)

摘要

Our aim in this paper is to investigate the global attractivity of the recursive sequence xn+1=(α−βxn−1)/(γ+xn) under specified conditions. We show that the positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.