GLOBAL BEHAVIOR OF A THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS OF ORDER THREE

In this paper, we investigate the global behavior of the positive solutions of the system of difference equations u(n+1) = alpha(1)u(n-1)/beta(1)+gamma(1)v(n-2)(p) , v(n+1) = alpha(2)v(n-1)/beta(2)+gamma(2)w(n-2)(q) , w(n+1) = alpha(3)w(n-1)/beta(3)+gamma(3)u(n-2)(r) for n is an element of N-0 where the initial conditions u-i, v-i, w-i (i = 0, 1, 2) are non-negative real numbers and the parameters alpha(j), beta(j), gamma(j) (j = 1, 2, 3) and p, q, r are positive real numbers, by extending some results in the literature.