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386769

Global dynamics of some systems of rational difference equations

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Last updated: 05 Jan 2025

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Abstract

In this paper, we study the qualitative behavior of some systems of second-order rational
difference equations. More precisely, we study the equilibrium points, local asymptotic stability of
equilibrium point, unstability of equilibrium points, global character of equilibrium point, periodicity
behavior of positive solutions and rate of convergence of positive solutions of these systems.
Some numerical examples are given to verify our theoretical results.

DOI

10.1016/j.joems.2014.08.007

Keywords

Rational difference equations, stability, Global character, Rate of convergence

Authors

First Name

A.

Last Name

Khan

MiddleName

Q.

Affiliation

Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan

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First Name

M.

Last Name

Qureshi

MiddleName

N.

Affiliation

Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan

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Volume

24

Article Issue

1

Related Issue

51061

Issue Date

2016-03-01

Receive Date

2024-10-17

Publish Date

2016-03-01

Page Start

30

Page End

36

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 1_Pages 30-36.pdf

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https://joems.journals.ekb.eg/article_386769.html

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https://joems.journals.ekb.eg/service?article_code=386769

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386,769

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Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Global dynamics of some systems of rational difference equations

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Article

Created At

21 Dec 2024