Qualitative analysis of second-order fuzzy difference equation with quadratic term

In this paper, we explore the qualitative features of a second-order fuzzy difference equation with quadratic term x n + 1 = A + B x n x n - 1 2 , n = 0 , 1 , … . Here the parameters A , B ∈ ℜ F + and the initial values x 0 , x - 1 ∈ ℜ F + . Utilizing a generalization of division (g-division) of fuz...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics & computing 2023-04, Vol.69 (2), p.1355-1376
Main Authors: Zhang, Qianhong, Ouyang, Miao, Pan, Bairong, Lin, Fubiao
Format: Article
Language:English
Subjects:
Applied mathematics
Computational Mathematics and Numerical Analysis
Difference equations
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Quadratic equations
Qualitative analysis
Theory of Computation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we explore the qualitative features of a second-order fuzzy difference equation with quadratic term x n + 1 = A + B x n x n - 1 2 , n = 0 , 1 , … . Here the parameters A , B ∈ ℜ F + and the initial values x 0 , x - 1 ∈ ℜ F + . Utilizing a generalization of division (g-division) of fuzzy numbers, we obtain some sufficient condition on the qualitative features including boundedness, persistence, and convergence of positive fuzzy solution of the model, Moreover two simulation examples are presented to verify our theoretical analysis.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-022-01793-0