Global behavior of a three-dimensional linear fractional system of difference equations

We investigate the global asymptotic behavior of solutions of the system of difference equations xn+1 = a + xn b + yn , yn+1 = c +yn d +zn , zn+1 = e +zn f +xn , n= 0, 1, . . . , where the parameters a, b, c, d, e, and f are in (0,∞) and the initial conditions x0, y0, and z0 are arbitrary non-negative numbers. We obtain some global attractivity results for the positive equilibrium of this system for different values of the parameters.  2005 Elsevier Inc. All rights reserved.