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Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model. (English) Zbl 1111.39007

The authors consider a two-dimensional system of nonautonomous difference equations, which represent a ratio dependent predator-prey model. Sufficient conditions for permanence of solutions are obtained, and the question of global stability of the positive solutions is studied.

MSC:

39A11 Stability of difference equations (MSC2000)
92D25 Population dynamics (general)
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