Persistence and global attractivity in the model

First, we prove the uniform persistence for discrete model A n + 1 = qA n + F n ( A n , A n - 1 , … , A n - m ) of population growth, when F n : ( 0 , ∞ ) m + 1 → ( 0 , ∞ ) is continuous all. Second, we investigation the effect of delay m on the global attractivity of the unique positive equilibrium.