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Permanence of a discrete predator-prey system with Beddington-DeAngelis functional response and feedback controls. (English) Zbl 1147.39007

Summary: We propose a discrete predator-prey system with Beddington-DeAngelis functional response and feedback controls. By applying the comparison theorem of difference equations, sufficient conditions are obtained for the permanence of the system.

MSC:

39A12 Discrete version of topics in analysis
92D25 Population dynamics (general)
93B52 Feedback control
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References:

[1] Applied Mathematics Letters 19 (12) pp 1361– (2006) · Zbl 1140.92325 · doi:10.1016/j.aml.2006.02.004
[2] DOI: 10.1155/S0161171293000213 · Zbl 0765.34058 · doi:10.1155/S0161171293000213
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[7] DOI: 10.1016/j.amc.2006.03.026 · Zbl 1113.92061 · doi:10.1016/j.amc.2006.03.026
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