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+xnb+yn,yn+1=c+ynd+zn,zn+1=e+znf+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.