Open Access

Dynamics of a Rational System of Difference Equations in the Plane

Advances in Difference Equations20112011:958602

https://doi.org/10.1155/2011/958602

Received: 10 December 2010

Accepted: 21 February 2011

Published: 17 March 2011

Abstract

We consider a rational system of first-order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the parameters, the global and local properties of the system. In particular, we discuss the boundedness and the asymptotic behavior of the solutions, the existence of periodic solutions, and the stability of equilibria.

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Authors’ Affiliations

(1)
Departamento de Matemática Aplicada II, E.T.S.E. Telecomunicación, Universidade de Vigo
(2)
Departamento de Matemática Aplicada, E.T.S.I. Industriales, UNED

Copyright

© Ignacio Bajo et al. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.