an:01894441
Zbl 1019.39007
Li, Wan-Tong; Sun, Hong-Rui
Global attractivity in a rational recursive sequence
EN
Dyn. Syst. Appl. 11, No. 3, 339-345 (2002).
00088103
2002
j
39A11 39B05
global attractivity; rational recursive sequence; non-negative equilibrium
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.
Lothar Berg (Rostock)