Global attractivity of a discrete cooperative system incorporating harvesting

A discrete cooperative model incorporating harvesting that takes the form x(k + 1) = x(k) exp{r(1) - Eq - b(1)x(k) - a(1)x(k)/y(k) + k(1)}, y(k + 1) = y(k) exp{r(2) - b(2)y(k) - a(2)y(k)/x(k) + k(2)} is proposed and studied in this paper. By using the iterative method and the comparison principle of difference equations, a set of sufficient conditions which ensure the global attractivity of the interior equilibrium of the system is obtained. Numeric simulations show the feasibility of the main result.