Global Attractor of Solutions of a Rational System in the Plane-Reference-Cited by-同舟云学术

Global Attractor of Solutions of a Rational System in the Plane

Published:2015 Issue: Volume:2015 Page:1-6
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Bekker Miron B.¹,Bohner Martin J.²,Voulov Hristo D.³

Affiliation:

1. Department of Mathematics, University of Pittsburgh at Johnstown, Johnstown, PA, USA

2. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, USA

3. Department of Mathematics and Statistics, University of Missouri-Kansas City, Kansas City, MO, USA

Abstract

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.

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/195247.pdf

Reference15 articles.

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2. Asymptotic behavior of solutions of a rational system of difference equations

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4. Advances in Discrete Mathematics and Applications,2008

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