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On permanence and global stability in a general Gilpin-Ayala competition predator-prey discrete system. (English) Zbl 1125.39008
The authors propose a general discrete multispecies Gilpin-Ayala competition predator-prey model. By using difference inequality and the technique developed by Y. Chen and Z. Zhou [J. Math. Anal. Appl. 277, 358–366 (2003; Zbl 1019.39004)], sufficient conditions are established for the permanence and the global stability. An example is also included.

39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
92D25 Population dynamics (general)
Full Text: DOI
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