TY  - JOUR
AU  - Alharbi, Turki D.
AU  - Halim, Yacine
PY  - 2025
TI  - Multi-dimensional rational recurrence models: Local analysis with nonlinear effects
JO  - AIMS Mathematics
SP  - 20050
EP  - 20065
VL  - 10
IS  - 9
AB  - 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.
UR  - https://doi.org/10.3934/math.2025896
DO  - 10.3934/math.2025896