• Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/jbsc/044/04/0085

    • 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

       

      UNAL UFUKTEPE1 BURCIN KULAHCIOGLU2 OLCAY AKMAN3

      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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.