Dynamics of a rational system of difference equations in the plane

2010/11/09 by Ignacio Bajo, Daniel Franco, Bajo, Ignacio +3
Mathematics · Medicine · #39A22 #39A23 #39A30 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #math.DS #msc:39A22 #msc:39A23 #msc:39A30

paper · pdf · doi:10.48550/arxiv.1011.2050

arxiv created 2010/11/09 · openalex publication_date 2010/11/09 · arxiv updated 2010/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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