On the system of rational difference equations

In this paper, we study the following system of rational difference equations for n is an element of N-0 {x(n+1) = alpha y(n-2)/beta+rho y(n-2)x(n-1)y(n), y(n+1) = delta x(n-2)/zeta+eta x(n-2)y(n-1)x(n), z(n+1) = theta z(n-2)/lambda+mu y(n-2)x(n-1)y(n), where the parameters alpha,beta,rho,delta,zeta,eta,theta,lambda,mu and initial values x(-i),y(-i),z(-i),i is an element of {0,1, 2} are reel numbers.