MMN-4722
Dynamics of positive solutions of a three dimensional higher order system of difference equations
Murad Khan Hassani;
Yasin Yazlik;
Nouressadat Touafek;
Abstract
In this paper, we study the global behavior of positive solutions of the following system of difference equations xn+1 = A + yn yn−k,yn+1 = A + zn zn−k,zn+1 = A + xn xn−k,n ∈ ℕ0, where the parameter A > 0, the initial values x−i,y−i,z−i, i ∈{0,1,2,…,k}, are arbitrary positive real number and k ∈ ℕ. Moreover, we provide semi-cycle analysis of positive solutions to the above system of difference equations. Finally, we also give some numerical examples which support our analytical results.
Vol. 25 (2024), No. 2, pp. 713-735