Li, Wan-Tong; Sun, Hong-Rui Global attractivity in a rational recursive sequence. (English) Zbl 1019.39007 Dyn. Syst. Appl. 11, No. 3, 339-345 (2002). For the recursive sequence \(x_{n+1}= (\alpha-\beta x_n)/(\gamma+ x_{n-k})\) with non-negative \(\alpha,\beta, \gamma\) and natural \(k\) it is shown that, under certain assumptions, the non-negative equilibrium is an attractor. Reviewer: Lothar Berg (Rostock) Cited in 35 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39B05 General theory of functional equations and inequalities Keywords:global attractivity; rational recursive sequence; non-negative equilibrium PDF BibTeX XML Cite \textit{W.-T. Li} and \textit{H.-R. Sun}, Dyn. Syst. Appl. 11, No. 3, 339--345 (2002; Zbl 1019.39007)