Global Dynamics of Some Exponential Type Systems-Reference-Cited by-同舟云学术

Global Dynamics of Some Exponential Type Systems

Published:2020-05-26 Issue: Volume:2020 Page:1-24
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Khan A. Q.¹^ORCID,Arshad H. M.¹,Younis B. A.²,Osman KH. I.³,Ibrahim Tarek F.⁴⁵,Ahmed I.⁶^ORCID,Khaliq A.⁷^ORCID

Affiliation:

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

2. Department of Mathematics, Faculty of Sciences and Arts in Zahran Alganoob, King Khalid University, Abha, Saudi Arabia

3. Department of Mathematics, Faculty of Sciences and Arts in Sarat Abeda, King Khalid University, Abha, Saudi Arabia

4. Department of Mathematics, Faculty of Sciences and Arts in Mahayel Aseer, King Khalid University, Abha, Saudi Arabia

5. Department of Mathematics, Faculty of Sciences, Mansoura University, Mansoura 35516, Egypt

6. Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur 10250 (AJK), Pakistan

7. Department of Mathematics, Riphah International University, Lahore Campus, Lahore, Pakistan

Abstract

We explore the boundedness and persistence, existence of an invariant rectangle, local dynamical properties about the unique positive fixed point, global dynamics by the discrete-time Lyapunov function, and the rate of convergence of some 2,3-type exponential systems of difference equations. Finally, theoretical results are numerically verified.

Funder

Higher Education Commission, Pakistan

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2020/1515730.pdf

Reference8 articles.

1. On the difference equation

2. Stability Analysis of a Nonlinear Difference Equation

3. Behavior of an Exponential System of Difference Equations

4. Qualitative behavior of two systems of higher‐order difference equations

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