Persistence and global attractivity in the model $A_{n+1}=A_{n}F(A_{n-m})$

First, we systemize ealier results the uniform persistence for discrete model $A_{n+1}=A_{n}F(A_{n-m})$ of population growth, where $F:(0,\mathrm{\infty })\to (0,\mathrm{\infty })$ is continuous and strictly decreasing. Second, we investigation the effect of delay $m$ when $F$ is not monotone. We are mainly using $\omega$-limit set of persistent solution, which is discussed in more general by P. Walters, 1982.