Dynamics of fuzzy difference equations system with higher-order

Abstract There are few studies in the literature that focus on two-dimensional higher-order fuzzy difference equations, leaving a considerable gap in our understanding of their behavior and dynamics. This highlights the necessity to investigate this field in order to answer fundamental concerns and broaden its possible uses.This study looks into the existence, uniqueness, boundedness, persistence, and convergence of positive solutions to a two-dimensional system of higher-order fuzzy difference equations. These qualities are crucial to understanding the system’s behavior and stability.Theoretical analysis is used to rigorously establish the aforementioned system features. To validate the efficiency and application of the theoretical results, numerical simulations are provided, exhibiting the behavior and supporting the study’s findings.