Abstract
This paper presents a study of the system of nonlinear difference equations x(n+1) = x(n-2q+1)/A+Bx(n-q+1)y(n-2q+1), y(n+1) = y(n-2q+1)/A+By(n-q+1)x(n-2q+1)with nonzero arbitrary initial conditions, where A and B are arbitrary parameters and q is an arbitrary non-negative integer. We obtain closed forms for the solutions of this system and give a complete investigation of their convergence. Local and global stability of the equilibrium points are discussed. Numerical examples are given to confirm the correctness of the analytical results.