The periodic character in a higher order difference equation with delays

The aim of this paper is to investigate the global dynamics of the delay nonlinear difference equation yn+1=Ayn-kB+Cyn-lpyn-mq,n=0,1, horizontal ellipsis ,where k, l, and m are positive integers, the parameters A, B, C, p, and q are nonnegative real numbers, and the initial values y-max{k,l,m}, horizontal ellipsis ,y-1,y0 are nonnegative real numbers such that the denominator is always positive. Several numerical simulations are provided to support obtained results. Also, our results extend and generalize the known ones.