Investigation of nonstandard finite difference for fractional order Covid-19 model

This article examines a mathematical model of the Covid-19 type. We demonstrate how the population is impacted by immigration, protection, the mortality, exposure, curing, and interactions between sick and healthy individuals. There are five classifications in our model: exposed, susceptible, infected, quarantined, and recovered. The model is subjected to numerical and fractional analysis in this instance. The numerical analysis is performed using the fractional order non-standard finite difference (NSFD) scheme. The Grunwald-Letnikov numerical approximation technique is used for fractional analysis. The findings are evaluated by simulations using the Matlab tool.

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Publication Details

Journal
GAZI UNIVERSITY JOURNAL OF SCIENCE
Published
2025-04-26
DOI
https://doi.org/10.35378/gujs.1456440
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Investigation of nonstandard finite difference for fractional order Covid-19 model

Mehmet Merdan, Pınar Açıkgöz
GAZI UNIVERSITY JOURNAL OF SCIENCE
Fractional Differential Equations Solutions
article

Investigation of nonstandard finite difference for fractional order Covid-19 model

Mehmet Merdan, Pınar Açıkgöz
article en

Abstract

This article examines a mathematical model of the Covid-19 type. We demonstrate how the population is impacted by immigration, protection, the mortality, exposure, curing, and interactions between sick and healthy individuals. There are five classifications in our model: exposed, susceptible, infected, quarantined, and recovered. The model is subjected to numerical and fractional analysis in this instance. The numerical analysis is performed using the fractional order non-standard finite difference (NSFD) scheme. The Grunwald-Letnikov numerical approximation technique is used for fractional analysis. The findings are evaluated by simulations using the Matlab tool.

GAZI UNIVERSITY JOURNAL OF SCIENCEVol. 38(2)
Gümüşhane University (TR)
Openalex Percentile: Top 90%
Fractional Differential Equations Solutions
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