Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1705949 | Applied Mathematical Modelling | 2011 | 12 Pages |
Abstract
In this paper, we consider an almost periodic discrete predator–prey models with time delays:x(k+1)=x(k)expa(k)-b(k)x(k)-p(k,x(k),y(k),x(k-μ),y(k-ν))y(k)x(k),y(k+1)=y(k)expc(k)-d(k)y(k)x(k-μ),where μ, ν 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. Comput. 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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yongkun Li, Tianwei Zhang, Yuan Ye,