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A new set of sufficient conditions for the permanence of a discrete N-species cooperation system with delays and feedback controls are obtained. Our result shows that feedback control variables have no influence on the persistent property of the discrete cooperative system, thus improves and supplements the main result of F. D. Chen (2007)

discrete dynamics in nature and society

Feedback Control Variables Have No Influence on the Permanence of a Discrete<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math>-Species Cooperation System

Feedback Control Variables Have No Influence on the Permanence of a DiscreteN-Species Cooperation System