Dynamics of the system of difference equations \(x_{n+1} = A+\frac{y_{n-k}}{y_n}\), \(y_{n+1} = B+\frac{x_{n-k}}{x_n}\)

DOI10.1007/S12346-020-00408-YzbMath1450.39003OpenAlexW3038741625MaRDI QIDQ2006824

S. Abualrub, Marwan Aloqeili

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00408-y

zbMATH Keywords

global asymptotic stabilitysystem of difference equationssemi-cycle

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (1)

An investigation on the Lasota-Wazewska model with a piecewise constant argument

Cites Work

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• On a system of two nonlinear difference equations
• On the system of two nonlinear difference equations \(x_{n+1} =A+x_{n-1}/ y_n,\;y_{n+1} =A+y_{n-1}/ x_n\)
• On the system of high order rational difference equations
• Global asymptotic behavior of positive solutions on the system of rational difference equations \(x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}\).
• Global asymptotic behavior of a two-dimensional difference equation modelling competition
• On a system of rational difference equation
• The global asymptotic stability of a system of difference equations

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