Global Attractor of Solutions of a Rational System in the Plane

Miron B. Bekker; Martin Bohner; Hristo D. Voulov

doi:10.1155/2015/195247

Global Attractor of Solutions of a Rational System in the Plane

Miron B. Bekker
, Martin Bohner
, Hristo D. Voulov

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Discrete Dynamics in Nature and Society
Volume	2015
DOIs	https://doi.org/10.1155/2015/195247
State	Published - Jan 1 2015

Disciplines

Mathematics
Statistics and Probability

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title = "Global Attractor of Solutions of a Rational System in the Plane",

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.",

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N2 - 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.

AB - 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.

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VL - 2015

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

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Global Attractor of Solutions of a Rational System in the Plane

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