Abstract
Abstract A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system. Also, we establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. In additional, an example together with its numerical simulation are presented to illustrate the feasibility of the main result.
Highlights
The importance of species competition in nature is obvious
We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system
Gopalsamy [2] discussed the continuous version with discrete delays, Tan and Liao [3] established the discrete time version with discrete delays, Xue et al [4] proposed the discrete time version with in nite delays and single feedback control
Summary
The importance of species competition in nature is obvious. For example, competition may be territory which is directly related to food resources. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Almost periodic solution of a discrete competitive system with delays and feedback controls where {ri(k)}, {ai(k)}, {bij(k)}, {dij(k)}, {ei(k)}, {fi(k)} and {gij(k)} are bounded nonnegative almost periodic sequences such that
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