# zbMATH — the first resource for mathematics

Further properties of the rational recursive sequence $$x_{n+1}=\frac {ax_{n-1}} {b+cx_n x_{n-1}}$$. (English) Zbl 1131.39003
Summary: We consider the difference equation
$x_{n+1}=\frac{ax_{n-1}}{b+cx_n x_{n-1}}\,\quad n=0,1,\dots\tag{E}$
with positive parameters $$a$$ and $$c$$, negative parameter $$b$$ and nonnegative initial conditions. We investigate the asymptotic behavior of solutions of equation (E).