Global Character of a Six-Dimensional Nonlinear System of Difference Equations

Abstract EN

The aim of this paper is to study the dynamical behavior of positive solutions for a system of rational difference equations of the following form: u n + 1 = α u n - 1 / β + γ v n - 2 p , v n + 1 = α 1 v n - 1 / β 1 + γ 1 u n - 2 p , n = 0,1 , … , where the parameters α , β , γ , α 1 , β 1 , γ 1 , p and the initial values u - i , v - i for i = 0,1 , 2 are positive real numbers.