摘要:Consider the delay difference equationxn+1-xn=-δxn+pxn-kf(xn-k), n=0,1,2, (1)it is a more general discrete model than Nicholson's Blowflies'model, and the Nicholson's Blowflies's model is a specific example of (1.1). We show a sufficient condition of the zero solution of (1)is uniformly asymptotically stable and every non-negative solution of (1) tends to zero as n→∞, while we also show another sufficient and necessary condition about (1) is uniformly persistent.%讨论了时滞差分方程xn+1-xn=-δxn+pxn-kf(xn-k), n=0,1,2,... (1)得到了该方程零解的一致渐进稳定的充分条件,且每一个非负解都趋近于零,并且获得了该系统一致持续生存的充要条件.