Acta Mathematica Vietnamica
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PERSISTENCE AND GLOBAL ATTRACTIVITY IN THE MODEL $A_{n+1} = A_nF_n(A_n, A_{n−1},\dots, A_{n−m})$
DANG VU GIANG
Abstract
First, we prove the uniform persistence for discrete model $A_{n+1} = A_nF_n(A_n, A_{n−1},\dots, A_{n−m})$ of population growth, where $F_n : (0, \infty)^{m+1}\to (0,\infty)$ are continuous all. Second, we investigation the effect of delay $m$ on the global attractivity of the unique positive equilibrium.