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Positive almost periodic solutions for a discrete competitive system subject to feedback controls. (English) Zbl 1397.39006

Summary: This paper concerns a discrete competitive system subject to feedback controls. By using Lyapunov function and some preliminary lemmas, the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system are investigated. Numerical simulations suggest the feasibility of our theoretical results.

MSC:

39A12 Discrete version of topics in analysis
92D25 Population dynamics (general)
93B52 Feedback control
39A24 Almost periodic solutions of difference equations
93D20 Asymptotic stability in control theory
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