Abstract :
In this paper, we investigate the stability of the following difference equation xn+1 = (ax^4 n + bxnx³ n−1 + cx² nx² n−1 + dx³ nxn−1 + ex^4 n−1) / (Ax^4 n + Bxnx³ n−1 + Cx² nx² n−1 + Dx³ nxn−1 + Ex^4 n−1) , n = 0, 1, . . . , where the parameters a, b, c, d, e, A, B, C, D, E are positive real numbers and the initial values x0, x−1 are arbitrary positive numbers.
