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Permanence and global attractivity of a delayed discrete predator-prey system with general Holling-type functional response and feedback controls. (English) Zbl 1161.39017

Summary: We discuss a delayed discrete predator-prey system with general Holling-type functional response and feedback controls. Firstly, sufficient conditions are obtained for the permanence of the system. After that, under some additional conditions, we show that the periodic solution of the system is global stable.

MSC:

39A12 Discrete version of topics in analysis
39A10 Additive difference equations
92D25 Population dynamics (general)
39A30 Stability theory for difference equations
93B52 Feedback control
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