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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

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Amer inst Mathematical Sciences-aims

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Matematik
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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.

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

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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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Volume

7

Issue

5

Start Page

8449

End Page

8470