Global attractivity in a rational recursive sequence. (English) Zbl 1019.39007

Li, Wan-Tong; Sun, Hong-Rui

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)

MSC:

39A11	Stability of difference equations (MSC2000)
39B05	General theory of functional equations and inequalities

Keywords:

global attractivity; rational recursive sequence; non-negative equilibrium