@article{Alharbi2025, 
author = {Turki D. Alharbi and Yacine Halim},
title = {Multi-dimensional rational recurrence models: Local analysis with nonlinear effects},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {9},
pages = {20050-20065},
keywords = {system of difference equations, local asymptotic stability, boundedness, oscillation, stability},
url = {https://www.sciopen.com/article/10.3934/math.2025896},
doi = {10.3934/math.2025896},
abstract = {In this paper, we investigate the dynamic behavior of a class of    p-dimensional rational difference equation systems that extend previously studied two- and three-dimensional models. The system incorporates a power-type nonlinearity parameter    q  >  0, and our analysis focuses on the boundedness of solutions and the local asymptotic stability of equilibrium points. By generalizing known results to higher dimensions, we provide a deeper understanding of the local dynamics and structural properties of such systems.}
}