On the dynamics of a five-order fuzzy difference equation

Our aim in this paper is to investigate the existence and uniqueness of the positive solutions and the asymptotic behavior of the equilibrium points of the fuzzy difference equation xn+1 = Axn−1 xn−2 / D + Bx n−3 + Cxn−4 , n = 0, 1, 2, · · · , where xn is a sequence of positive fuzzy numbers, the parameters A, B, C, D and the initial conditions x−4, x−3, x−2, x−1, x0 are positive fuzzy numbers. Moreover, some numerical examples to the difference system are given to verify our theoretical results.