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

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Abstract

In this paper, we consider an almost periodic discrete predator-prey models with time delays: 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. © 2011 Elsevier Inc.

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Li, Y., Zhang, T., & Ye, Y. (2011). On the existence and stability of a unique almost periodic sequence solution in discrete predator-prey models with time delays. Applied Mathematical Modelling, 35(11), 5448–5459. https://doi.org/10.1016/j.apm.2011.04.034

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