Global Attractor of Solutions of a Rational System in the Plane

We consider a two-dimensional autonomous system of rational difference equations with three positive parameters. It was conjectured that every positive solution of this system converges to a finite limit. Here we confirm this conjecture, subject to an additional assumption.

Bibliographic Details
Main Authors: Miron B. Bekker, Martin J. Bohner, Hristo D. Voulov
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/195247