Global asymptotic behavior of positive solutions on the system of rational difference equations xn+1 = 1 + xnyn−m, yn+1 = 1 + ynxn−m

AbstractIn this paper, we study the boundedness, persistence, and the global asymptotic behavior of the positive solutions of the system of two difference equations xn+1 = 1 + xnyn−m, yn+1 = 1 + ynxn−m, n = 0, 1, …, where xi, yi, i = −m, −m + 1,…, 0 are positive numbers and m is a positive integer