Abstract
In this paper, we consider the explicit solution of the following system of nonlinear rational difference equations: x(n+1) = x(n-1)/(x(n-1)+r),y(n+1) = x(n-1)y(n)/(x(n-1)y(n) + r), with initial conditions x(n-1), x(0) and y(0), which are arbitrary positive real numbers. By doing this, we encounter the hypergeometric function. We also investigate global dynamics this system consists of two kind of bifurcations.