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Permanence of a discrete \(n\)-species cooperation system with time-varying delays and feedback controls. (English) Zbl 1217.93097

Summary: A discrete \(n\)-species cooperation system with time-varying delays and feedback controls is considered. By using the techniques of Y.H. Fan and L.L. Wang [Discrete Dyn. Nat. Soc. 2008, Article ID 945109, 8 p. (2008; Zbl 1149.39003)], sufficient conditions are obtained for the permanence of the system, which improve a result given by F. D. Chen [Appl. Math. Comput. 186, No. 1, 23–29 (2007; Zbl 1113.93063)].

MSC:

93C55 Discrete-time control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
39A22 Growth, boundedness, comparison of solutions to difference equations
92D25 Population dynamics (general)
93B52 Feedback control
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References:

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