Abstract

In this paper, we study the qualitative behavior of a system of fourth-order rational dierence equations. More precisely, we study the local asymp- totic stability and global asymptotic character of the unique equilibrium point of a fourth-order discrete dynamical system of rational form. Moreover, boundedness behavior and the rate of convergence of the positive solutions which converge to equilibrium at origin are investigated. Some numerical example are given to verify our theoretical results. 2000 Mathematics Subject Classication : 39A10; 40A05.

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