Dynamics of fuzzy difference equations system with higher-order

被引:0
作者
Topan, Osman [1 ]
Yazlik, Yasin [2 ]
Atpinar, Sevda [2 ]
机构
[1] Abdullah Gul Univ, Math Dept, Kayseri, Turkiye
[2] Nevsehir Haci Bektas Veli Univ, Fac Art & Sci, Dept Math, Nevsehir, Turkiye
关键词
Fuzzy difference equations system; Boundedness; Persistence; Convergence; Zadeh extension; BEHAVIOR; MODEL;
D O I
10.1007/s12190-025-02440-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
There are few studies in the literature that focus on two-dimensional higher-order fuzzy difference equations, leaving a considerable gap in our understanding of their behavior and dynamics. This highlights the necessity to investigate this field in order to answer fundamental concerns and broaden its possible uses.This study looks into the existence, uniqueness, boundedness, persistence, and convergence of positive solutions to a two-dimensional system of higher-order fuzzy difference equations. These qualities are crucial to understanding the system's behavior and stability.Theoretical analysis is used to rigorously establish the aforementioned system features. To validate the efficiency and application of the theoretical results, numerical simulations are provided, exhibiting the behavior and supporting the study's findings.
引用
收藏
页码:5505 / 5530
页数:26
相关论文
共 45 条
[1]  
Abualrub S, 2020, QUAL THEOR DYN SYST, V19, DOI 10.1007/s12346-020-00408-y
[2]   Global Stability of a System of Fuzzy Difference Equations of Higher-Order [J].
Althagafi, Hashem ;
Ghezal, Ahmed .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, 71 (02) :1887-1909
[3]   On the recursive sequence xn+1=α+xn-1/xn [J].
Amleh, AM ;
Grove, EA ;
Ladas, G ;
Georgiou, DA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (02) :790-798
[4]  
[Anonymous], 1988, Possibility Theory
[5]   Qualitative behavior of exponential type of fuzzy difference equations system [J].
Atpinar, Sevda ;
Yazlik, Yasin .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (06) :4135-4162
[6]  
Bede B., 2013, Mathematics of Fuzzy Sets and Fuzzy Logic, DOI [10.1007/978-3-642-35221-81271.03001, DOI 10.1007/978-3-642-35221-81271.03001]
[7]   Stability analysis of fuzzy HTLV-I infection model: a dynamic approach [J].
Bera, Sovan ;
Khajanchi, Subhas ;
Roy, Tapan Kumar .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (01) :171-199
[8]   Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems [J].
Cen, Jinxia ;
Haddad, Tahar ;
Van Thien Nguyen ;
Zeng, Shengda .
JOURNAL OF GLOBAL OPTIMIZATION, 2022, 84 (03) :783-805
[9]   Analysis by fuzzy difference equations of a model of CO2 level in the blood [J].
Deeba, EY ;
de Korvin, A .
APPLIED MATHEMATICS LETTERS, 1999, 12 (03) :33-40
[10]  
Deeba EY., 1996, Journal of Difference Equations and Applications, V2, P365, DOI DOI 10.1080/10236199608808071