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Construction and Numerical Analysis of a Fuzzy Non-Standard Computational Method for the Solution of an Seiqr Model of Covid-19 Dynamics

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Date

2022

Journal Title

Journal ISSN

Volume Title

Publisher

Amer inst Mathematical Sciences-aims

Open Access Color

GOLD

Green Open Access

Yes

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Publicly Funded

No
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Top 10%
Influence
Top 10%
Popularity
Top 10%

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Journal Issue

Abstract

This current work presents an SEIQR model with fuzzy parameters. The use of fuzzy theory helps us to solve the problems of quantifying uncertainty in the mathematical modeling of diseases. The fuzzy reproduction number and fuzzy equilibrium points have been derived focusing on a model in a specific group of people having a triangular membership function. Moreover, a fuzzy non-standard finite difference (FNSFD) method for the model is developed. The stability of the proposed method is discussed in a fuzzy sense. A numerical verification for the proposed model is presented. The developed FNSFD scheme is a reliable method and preserves all the essential features of a continuous dynamical system.

Description

Dayan, Fazal/0000-0002-6313-5135; Rafiq, Muhammad/0000-0002-2165-3479

Keywords

Covid-19 Model, Fuzzy Parameters, Fuzzy Nonstandard Finite Difference Technique, Convergence Analysis, Stability Analysis, Statistics and Probability, Artificial intelligence, Covid-19 model, Fuzzy Differential Equations and Uncertainty Modeling, Defuzzification, stability analysis, fuzzy parameters, Mathematical analysis, convergence analysis, Health Sciences, Machine learning, QA1-939, FOS: Mathematics, fuzzy nonstandard finite difference technique, covid-19 model, Stability (learning theory), Fuzzy number, Scheme (mathematics), Random Fuzzy Variables, Modeling the Dynamics of COVID-19 Pandemic, Mathematical optimization, Public Health, Environmental and Occupational Health, Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Fuzzy control system, Disease Transmission and Population Dynamics, Modeling and Simulation, Physical Sciences, Fuzzy set, Medicine, Mathematics

Fields of Science

02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering

Citation

Dayan, Fazal;...et.al. (2022). "Construction and numerical analysis of a fuzzy non-standard computational method for the solution of an SEIQR model of COVID-19 dynamics", AIMS Mathematics, Vol.7, No.5, pp.8449-8470.

WoS Q

Q1

Scopus Q

Q1
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OpenCitations Citation Count
16

Source

AIMS Mathematics

Volume

7

Issue

5

Start Page

8449

End Page

8470
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Citations

Scopus : 19

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Mendeley Readers : 8

SCOPUS™ Citations

19

checked on Feb 24, 2026

Web of Science™ Citations

18

checked on Feb 24, 2026

Page Views

1

checked on Feb 24, 2026

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5.1556804

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