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

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