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Asymptotic behaviors of a delayed nonautonomous predator-prey system governed by difference equations. (English) Zbl 1233.92077

Summary: Based on a predator-prey differential system with continuously distributed delays, we derive a corresponding difference version by using the method of a discretization technique. A good understanding of permanence of system and global attractivity of positive solutions of system is gained. An example and its numerical simulations are presented to substantiate our theoretical results.

MSC:

92D40 Ecology
39A30 Stability theory for difference equations
39A12 Discrete version of topics in analysis
37N25 Dynamical systems in biology
65C60 Computational problems in statistics (MSC2010)
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