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Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations

Author

Listed:
  • Mustafa R. S. Kulenović

    (Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USA)

  • Mehmed Nurkanović

    (Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and Herzegovina)

  • Zehra Nurkanović

    (Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and Herzegovina)

  • Susan Trolle

    (Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USA)

Abstract

This paper investigates the dynamics of non-autonomous competitive systems of difference equations with asymptotically constant coefficients. We are mainly interested in global attractivity results for such systems and the application of such results to the evolutionary population of competition models of two species.

Suggested Citation

  • Mustafa R. S. Kulenović & Mehmed Nurkanović & Zehra Nurkanović & Susan Trolle, 2023. "Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations," Mathematics, MDPI, vol. 11(18), pages 1-22, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3909-:d:1239975
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    References listed on IDEAS

    as
    1. A. Bilgin & M. R. S. Kulenović, 2017. "Global Asymptotic Stability for Discrete Single Species Population Models," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-15, June.
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