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

Mustafa R. S. Kulenović (), Mehmed Nurkanović, Zehra Nurkanović and Susan Trolle
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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

Mathematics, 2023, vol. 11, issue 18, 1-22

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.

Keywords: competitive; discrete dynamical systems; difference equations; evolutionary; non-autonomous systems; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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