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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,8]]},"abstract":"<jats:p>In this paper, we consider a predator\u2013prey model with Beddington\u2013DeAngelis functional response with or without diffusion. For this system, we give a complete and rigorous analysis of the dynamics including the existence of a global positive solution, the stability\/Turing instability and the Hopf bifurcation. 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