Persistence and global attractivity in the model An+1=qAn+Fn(An,An-1,…,An-m)

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