Dynamics of positive solutions of a three dimensional higher order system of difference equations

Abstract

In this paper, we study the global behavior of positive solutions of the following system of difference equations xn+1=A+ynyn−k,yn+1=A+znzn−k,zn+1=A+xnxn−k,n∈ℕ0,A>0x−i,y−i,z−i,i∈{0,1,2,…,k}k∈ℕ