Qualitative analysis of second-order fuzzy difference equation with quadratic term

Abstract In this paper, we explore the qualitative features of a second-order fuzzy difference equation with quadratic term $$\begin{aligned} x_{n+1}=A+\frac{Bx_{n}}{x_{n-1}^2},\ \ n=0,1,\ldots . \end{aligned}$$ x n + 1 = A B - 2 , 0 … . Here parameters $$A, B\in \Re _F^+$$ ∈ ℜ F and initial values $$x_0, x_{-1}\in Utilizing generalization division (g-division) numbers, obtain some sufficient condition on including boundedness, persistence, convergence positive solution model, Moreover two simulation examples are presented to verify our theoretical analysis.