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
x
n
x
n
-
1
2
,
n
=
0
,
1
,
…
.
Here the parameters $$A, B\in \Re _F^+$$
A
,
B
∈
ℜ
F
+
and the initial values $$x_0, x_{-1}\in \Re _F^+$$
x
0
,
x
-
1
∈
ℜ
F
+
. Utilizing a generalization of division (g-division) of fuzzy numbers, we obtain some sufficient condition on the qualitative features including boundedness, persistence, and convergence of positive fuzzy solution of the model, Moreover two simulation examples are presented to verify our theoretical analysis.