On the nonlinear difference equation system x(n+1) = A+y(n-m)/x(n), y(n+1) = A+x(n-m)/y(n)
In this paper, we study the boundedness, persistence, and global asymptotic stability of positive solutions of the system of two difference equations x(n)+1 = A + y(n-m)/x(n), y(n)+1 = A + x(n-m)/y(n), n = 0, 1,..., where A > 0. (C) 2007 Elsevier Ltd. All rights reserved.
difference equation system boundedness persistence global asymptotic stability period two solutions