  Recently, J.-S. Guo, C.-H. Wu (Nonlinearity, 28(2015), 1-27) and C.-H. Wu (J.
Differential Equations, 259(3)(2015), 873-897) studied a two-species
competition-diffusion model with two free boundaries. The existence, uniqueness
and long time behavior of global solution were established. In this note we
still discuss the long time behavior of global solution and provide some new
results and simpler proofs.
