Year: 2025
Type: article
Abstract: 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.
Authors: Osman Topan, Yasin Yazlik, Sevda Atpınar
Institutions: Abdullah Gül University, Nevşehir Hacı Bektaş Veli University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411715464