In this paper, we study the dynamical behavior of positive solution for a system of a rational third-order difference equation xn+1 = x n-2/B + yn-2yn-1yn, yn+1 = yn-2/A + xn-2xn-1xn, n = 0,1,. . ., where A, B ε (0,∞), x-2, x-1, x0 ε (0,∞); y-2, y-1, y0 ε (...