Global dynamics of some systems of rational difference equations

Authors

Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan

10.1016/j.joems.2014.08.007

Abstract

In this paper, we study the qualitative behavior of some systems of second-order rational
difference equations. More precisely, we study the equilibrium points, local asymptotic stability of
equilibrium point, unstability of equilibrium points, global character of equilibrium point, periodicity
behavior of positive solutions and rate of convergence of positive solutions of these systems.
Some numerical examples are given to verify our theoretical results.

Keywords