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
Authors
Dayan, Fazal
Ahmed, Nauman
Rafiq, Muhammad
Akgül, Ali
Raza, Ali
Ahmad, Muhammad Ozair
Jarad, Fahd
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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.
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Keywords
Convergence Analysis, Covid-19 Model, Fuzzy Nonstandard Finite Difference Technique, Fuzzy Parameters, Stability Analysis
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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.
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Source
AIMS Mathematics
Volume
7
Issue
5
Start Page
8449
End Page
8470