On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation

Fuzzy systems play a crucial role in emerging fields such as artificial intelligence, machine learning, and computer science, drawing significant research interest in fuzzy difference equations. Inspired by this, we analyze the dynamic properties of a fourth-order exponential Riccati-type fuzzy difference equation. The study is further extended to a system of fourth-order fuzzy difference equations. We investigate the boundedness, as well as the local and global stability, of positive solutions. To support the theoretical findings, numerical examples are presented along with graphical and tabular representations.

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Publication Details

Journal
Axioms
Published
2025-02-04
DOI
https://doi.org/10.3390/axioms14020118
Citations
4
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
7.51
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article

On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation

D. K. Almutairi, Asifa Tassaddiq, Muhammad Usman, Rabab Alharbi et al.
4 citations
Axioms
Mathematical and Theoretical Epidemiology and Ecology Models
7.51
article

On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation

D. K. Almutairi, Asifa Tassaddiq, Muhammad Usman, Rabab Alharbi, Muhammad Tanveer
article en
4 citations

Abstract

Fuzzy systems play a crucial role in emerging fields such as artificial intelligence, machine learning, and computer science, drawing significant research interest in fuzzy difference equations. Inspired by this, we analyze the dynamic properties of a fourth-order exponential Riccati-type fuzzy difference equation. The study is further extended to a system of fourth-order fuzzy difference equations. We investigate the boundedness, as well as the local and global stability, of positive solutions. To support the theoretical findings, numerical examples are presented along with graphical and tabular representations.

AxiomsVol. 14(2)
Qassim University (SA), Riphah International University (PK), Majmaah University (SA), University of Faisalabad (PK), University of Agriculture Faisalabad (PK)
Openalex Percentile: Top 3%
Mathematical and Theoretical Epidemiology and Ecology Models
7.51
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