DYNAMICS OF AN ANTI-COMPETITIVE TWO DIMENSIONAL RATIONAL SYSTEM OF DIFFERENCE EQUATIONS

We investigate the global asymptotic behavior of solutions of the following anti-competitive system of rational dierence equations xn+1 = 1yn A1 +xn +h; y n+1 = 2xn A2 +yn ; n = 0; 1;:::; where the parameters 1; 2;A1;A2 and h are positive numbers and the initial conditions x0;y0 are arbitrary nonnegative numbers.