A coupled system of rational difference equations. (English) Zbl 1001.39017

Clark, D.; Kulenović, M. R. S.

Comput. Math. Appl. 43, No. 6-7, 849-867 (2002).

For the solutions of \(x_{n+1}=x_n/(a+cy_n),\) \(y_{n+1}=y_n/(b+dx_n)\), \(n\in \mathbb N_0\), with positive \(a,b,c,d\) and non-negative \(x_0\), \(y_0\) the asymptotic behaviour and the global stability properties are investigated.

Reviewer: Lothar Berg (Rostock)

MSC:

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

Keywords:

system of rational difference equations; asymptotic behaviour; global stability

References:

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