The global attractivity of a higher order rational difference equation

This paper studies global asymptotic stability for positive solutions to the equationyn=yn−kyn−lyn−m+yn−k+yn−l+yn−m1+yn−kyn−l+yn−kyn−m+yn−lyn−m,n=0,1,…, with y−m,y−m+1,…,y−1∈(0,∞)y−m,y−m+1,…,y−1∈(0,∞) and 1⩽k