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    • Keywords


      Allee effect; discrete dynamics; predator–prey model; refuge effect

    • Abstract


      We constructed a discrete-time predator–prey model by adding prey refuge and Allee effects (predator saturation on preyand mate limitation on predator) to an earlier prey–predator model and examined its dynamics. We show the existence ofpositive fixed points and study the stability properties. The numerical simulations and bifurcation diagrams verify theimpact of refuge and the Allee mechanism on the system.

    • Author Affiliations



      1. College of Engineering & Technology, American University of the Middle East, Kuwait City, Kuwait
      2. Department of Mathematics, Izmir University of Economics, I˙zmir, Turkey
      3. Department of Mathematics, Illinois State University, Normal, USA
    • Dates

  • Journal of Biosciences | News

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      Posted on July 25, 2019

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