Dynamics of a System of Rational Higher-Order Difference Equation

Abstract EN

We focus on a system of a rational m-order difference equation xn+1=(xn-m+1)/(A+ynyn-1⋯yn-m+1), yn+1=(yn-m+1)/(B+xnxn-1⋯xn-m+1), n=0,1,…, where A,B,x0,x-1,…,x-m+1,y0,y-1,…,y-m+1∈(0,∞).

We investigate the dynamical behavior of positive solution for the system.