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

Mehmet Merdan; Pınar Açıkgöz

Makale detayları

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

Yazarlar:

Mehmet Merdan | Pınar Açıkgöz

Yayıncı:

Gazi University

Ana Başlıklar:

Biological Mathematics | Applied Mathematics (Other)

Dergi:

Gazi University Journal of Science Vol.38 Issue 2, pp.874-889

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001348398

pISSN:

2147-1762

Anahtar kelimeler:

Özet:

 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.

 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.

 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.

 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.

Makale detayları

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

Yazarlar:

Mehmet Merdan | Pınar Açıkgöz

Yayıncı:

Gazi University

Ana Başlıklar:

Biological Mathematics | Applied Mathematics (Other)

Dergi:

Gazi University Journal of Science Vol.38 Issue 2, pp.874-889

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001348398

pISSN:

2147-1762

Caputo fractional derivative

Covid 19 model

Fractional order nonstandard finite difference

Grünwald-Letnikov

Sayı

Makale detayları

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

Yazarlar: Mehmet Merdan | Pınar Açıkgöz

Yayıncı: Gazi University

Ana Başlıklar: Biological Mathematics | Applied Mathematics (Other)

Dergi: Gazi University Journal of Science Vol.38 Issue 2, pp.874-889

Belge Tipi: Makale

Yayın Tarihi: 1/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001348398

pISSN: 2147-1762

Caputo fractional derivative

Covid 19 model

Fractional order nonstandard finite difference

Grünwald-Letnikov

Sayı

Yazarlar:

Mehmet Merdan | Pınar Açıkgöz

Yayıncı:

Gazi University

Ana Başlıklar:

Biological Mathematics | Applied Mathematics (Other)

Dergi:

Gazi University Journal of Science Vol.38 Issue 2, pp.874-889

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001348398

pISSN:

2147-1762