Global behavior of an anti-competitive system of fourth-order rational difference equations

Abstract

In the present work, we study the qualitative behavior of an anti-competitive system of fourth-order rational difference equations. More precisely, we study the local asymptotic stability, global character of the unique equilibrium point, and the rate of convergence of the positive solutions of the given system. Some numerical examples are given to verify our theoretical results.

Keywords

• system of rational difference equations
• stability
• global character
• rate of convergence