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Global asymptotic behavior of positive solutions on the system of rational difference equations $$x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}$$. (English) Zbl 1064.39004
It is shown that every positive solution of the system in the title with $$m\in\mathbb{N}$$ converges to an equilibrium $$(x,y)$$ with $$x> 1$$ and $$y= x/(x- 1)$$.

##### MSC:
 39A11 Stability of difference equations (MSC2000) 39A20 Multiplicative and other generalized difference equations, e.g., of Lyness type
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##### References:
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