Copyright © 2009 M. Garić-Demirović et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the global dynamics of solutions of four distinct competitive rational
systems of difference equations in the plane. We show that the basins of attractions of
different locally asymptotically stable equilibrium points are separated by the global stable
manifolds of either saddle points or nonhyperbolic equilibrium points. Our results give
complete answer to Open Problem 2 posed recently by Camouzis et al. (2009).