The global attractivity of the rational difference equation yn=yn−k+yn−m1+yn−kyn−m

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