Long-term behavior of positive solutions of a system of max-type difference equations

Some sufficient conditions which guaranty the attractivity of all positive solutions of the next system of difference equationsxn=maxa,yn-1p∏j=2kxn-jqj,yn=maxa,xn-1p∏j=2kyn-jqj,n∈N0,where a,p>0a,p>0, and qj,j∈{2,…,k}qj,j∈{2,…,k}, are nonnegative numbers, are given. The boundedness character of positive solutions of the system is also studied.