Permanence of a single species discrete model with feedback control and delay

Abstract Sufficient conditions are obtained for the permanence of the following single species discrete model with feedback control: { N ( n + 1 ) = N ( n ) exp [ r ( n ) ( 1 − N ( n − m ) k ( n ) − c ( n ) μ ( n ) ) ] , Δ μ ( n ) = − a ( n ) μ ( n ) + b ( n ) N ( n − m ) , where a : Z → ( 0 , 1 ) , c , k , r , b : Z → R + are all nonnegative functions and m is a positive constant.

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