Boundedness, Rate of Convergence and Global Behavior of a Higher-Order System of Difference Equations

Dr. Abdul Qadeer Khan; Waseem Razzaq

doi:10.5644/SJM.21.02.03

Authors

Dr. Abdul Qadeer Khan University of Azad Jammu and Kashmir, Department of Mathematics, Muzaffarabad 13100, Pakistan
Waseem Razzaq University of Azad Jammu and Kashmir, Department of Mathematics, Muzaffarabad 13100, Pakistan

DOI:

https://doi.org/10.5644/SJM.21.02.03

Keywords:

Higher-order system, boundedness, equilibria, numerical simulation, global dynamics

Abstract

In this paper, we conduct a comprehensive exploration of the dynamical characteristics of a higher-order non-symmetric system of difference equations. Our investigation covers various fundamental aspects, including the existence of equilibria, persistence, periodic points, boundedness, local behavior at equilibria, convergence rate, and global dynamics. Our results significantly extend and improve upon existing findings in the literature. Finally, theoretical findings are illustrative numerically.

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