On the existence and stability of a unique almost periodic sequence solution in discrete predator-prey models with time delays

摘要

In this paper, we consider an almost periodic discrete predator-prey models with time delays: where μ, v are nonnegative integers. Sufficient conditions for the permanence of the system and the existence of a unique uniformly asymptotically stable positive almost periodic sequence solution are obtained by the theory of difference inequality and the work of [S.N. Zhang, G, Zheng, Almost periodic solutions of delay difference systems, Appl. Math. Com put. 131 (2002) 497-516]. The result of this paper is completely new. Some suitable examples are employed to illustrate the feasibility of the main results.