        TY  - JOUR
T1  - Dynamical Behavior of Solutions to Higher-Order System of Fuzzy Difference Equations
AU  - Yazlik, Yasin
AU  - Topan, Osman
AU  - Atpınar, Sevda
PY  - 2025
DA  - June
Y2  - 2024
DO  - 10.33401/fujma.1564113
JF  - Fundamental Journal of Mathematics and Applications
JO  - Fundam. J. Math. Appl.
PB  - Fuat USTA
WT  - DergiPark
SN  - 2645-8845
SP  - 88
EP  - 103
VL  - 8
IS  - 2
LA  - en
AB  - In this paper, we concentrate on the global behavior of the fuzzy difference equations system with higher order \begin{eqnarray}\nonumber \alpha_{n+1}=\tau_1+\frac{\alpha_n}{\sum_{i=1}^{m}\beta_{n-i}}, \beta_{n+1}=\tau_2+\frac{\beta_n}{\sum_{i=1}^{m}\alpha_{n-i}}, \quad n\in \mathbb{N}_0, \end{eqnarray} where $\alpha_n, \beta_n$ are positive fuzzy number sequences, parameters $\tau_1, \tau_2$ and the initial values  $\alpha_{-i}, \beta_{-i}, i \in \{0, 1, \dots, m\}$, are positive fuzzy numbers. Firstly, we show the existence and uniqueness of the positive fuzzy solution to the mentioned system. Furthermore, we are searching for the boundedness, persistence and convergence of the positive solution to the given system. Finally, we give some numerical examples to show the efficiency of our results.
KW  - Fuzzy difference equations system
KW  - Positive fuzzy solution
KW  - Dynamical behavior
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UR  - https://doi.org/10.33401/fujma.1564113
L1  - https://dergipark.org.tr/en/download/article-file/4275194
ER  -