Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations-Reference-Cited by-同舟云学术

Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations

Published:2023-12-20 Issue:1 Volume:12 Page:16
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Hassani Murad Khan¹^ORCID,Yazlik Yasin¹^ORCID,Touafek Nouressadat²^ORCID,Abdelouahab Mohammed Salah³^ORCID,Mesmouli Mouataz Billah⁴^ORCID,Mansour Fatma E.⁵

Affiliation:

1. Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir 50300, Turkey

2. LMAM Laboratory, Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel 18000, Algeria

3. Laboratory of Mathematics and Their Interactions, Abdelhafid Boussouf University Center of Mila, Mila 43000, Algeria

4. Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

5. Department of Physics, College of Science and Arts in Methneb, Qassim University, Methneb 51931, Saudi Arabia

Abstract

In this paper, we study the semi-cycle analysis of positive solutions and the asymptotic behavior of positive solutions of three-dimensional system of difference equations with a higher order under certain parametric conditions. Furthermore, we show the boundedness and persistence, the rate of convergence of the solutions and the global asymptotic stability of the unique equilibrium point of the proposed system under certain parametric conditions. Finally, for this system, we offer some numerical examples which support our analytical results.

Funder

Scientific Research Deanship at University of Ha’il – Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/12/1/16/pdf

Reference22 articles.

1. Jones, D., and Sleeman, B. (1983). Differential Equations and Mathematical Biology, George Allen and Unwin.

2. Lakshmikantham, V., and Trigiante, D. (1990). Theory of Difference Equations, Academic Press.

3. A high-order and efficient numerical technique for the nonlocal neutron diffusion equation representing neutron transport in a nuclear reactor;Wang;Ann. Nucl. Energy,2024

4. H1-norm error analysis of a robust ADI method on graded mesh for three-dimensional subdiffusion problems;Zhou;Numer. Algorithms,2023

5. Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays;Mesmouli;AIMS Math.,2023