Analysis of Infection and Diffusion Coefficient in an SIR Model by Using Generalized Fractional Derivative

In this article, a diffusion component in an SIR model is introduced, and its impact is analyzed using fractional calculus. We have included the diffusion component in the SIR model. in order to illustrate the variations. Here, we have applied the general fractional derivative to analyze the impact. The Laplace decomposition technique is employed to obtain the numerical outcomes of the model. In order to observe the effect of the diffusion component in the SIR model, graphical solutions are also displayed.

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Publication Details

Journal
Fractal and Fractional
Published
2024-09-15
DOI
https://doi.org/10.3390/fractalfract8090537
Citations
8
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
3.16

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article

Analysis of Infection and Diffusion Coefficient in an SIR Model by Using Generalized Fractional Derivative

Manvendra Narayan Mishra, Ibtehal Alazman, Badr Saad T. Alkahtani, Ravi Shanker Dubey
8 citations
Fractal and Fractional
Fractional Differential Equations Solutions
3.16
article

Analysis of Infection and Diffusion Coefficient in an SIR Model by Using Generalized Fractional Derivative

Manvendra Narayan Mishra, Ibtehal Alazman, Badr Saad T. Alkahtani, Ravi Shanker Dubey
article en
8 citations

Abstract

In this article, a diffusion component in an SIR model is introduced, and its impact is analyzed using fractional calculus. We have included the diffusion component in the SIR model. in order to illustrate the variations. Here, we have applied the general fractional derivative to analyze the impact. The Laplace decomposition technique is employed to obtain the numerical outcomes of the model. In order to observe the effect of the diffusion component in the SIR model, graphical solutions are also displayed.

Fractal and FractionalVol. 8(9)
Imam Mohammad ibn Saud Islamic University (SA), King Saud University (SA), Gyan Vihar University (IN)
Al-Imam Muhammad Ibn Saud Islamic University
Openalex Percentile: Top 8%
Fractional Differential Equations Solutions
3.16
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Analysis of Infection and Diffusion Coefficient in an SIR Model by Using Generalized Fractional Derivative — Manvendra Narayan Mishra, Ibtehal Alazman, et al. · Fractal and Fractional (2024) | TGRS Research Map | TGRS