On the dynamics of a five-order fuzzy difference equation. (English) Zbl 1412.39010
Summary: 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 \[x_{n+1}=\frac{Ax_{n-1}x_{n-2}}{D+Bx_{n-3}+Cx_{n-4}}, \quad n=0,1,2,\dots,\] where \(x_n\) is a sequence of positive fuzzy numbers, the parameters \(A, B, C, D\) and the initial conditions \(x_{-4}, x_{-3}, x_{-2}, x_{-1}, x_0\) are positive fuzzy numbers. Moreover, some numerical examples to the difference system are given to verify our theoretical results.
MSC:
| 39A12 | Discrete version of topics in analysis |
| 03E72 | Theory of fuzzy sets, etc. |
| 39A22 | Growth, boundedness, comparison of solutions to difference equations |
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