Fractional order COVID-19 model with transmission rout infected through environment

Shao-Wen Yao; Muhammad Farman; Maryam Amin; Mustafa Inc; Ali Akgül; Aqeel Ahmad; Shao-Wen Yao; Muhammad Farman; Maryam Amin; Mustafa Inc; Ali Akgül; Aqeel Ahmad

doi:10.3934/math.2022288

AIMS Mathematics

2022, Volume 7, Issue 4: 5156-5174. doi: 10.3934/math.2022288

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Fractional order COVID-19 model with transmission rout infected through environment

1.
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
2.
Department of Mathematics and Statistics, University of Lahore, Lahore-54590, Pakistan
3.
Department of Computer Engineering, Biruni University, 34025 Istanbul, Turkey
4.
Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey
5.
Department of Medical Research, China Medical University, 40402 Taichung, Taiwan
6.
Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, Turkey

Received: 10 September 2021 Revised: 02 November 2021 Accepted: 21 November 2021 Published: 04 January 2022
MSC : 37C75, 65L07, 93B05

In this paper, we study a fractional order COVID-19 model using different techniques and analysis. The sumudu transform is applied with the environment as a route of infection in society to the proposed fractional-order model. It plays a significant part in issues of medical and engineering as well as its analysis in community. Initially, we present the model formation and its sensitivity analysis. Further, the uniqueness and stability analysis has been made for COVID-19 also used the iterative scheme with fixed point theorem. After using the Adams-Moulton rule to support our results, we examine some results using the fractal fractional operator. Demonstrate the numerical simulations to prove the efficiency of the given techniques. We illustrate the visual depiction of sensitive parameters that reveal the decrease and triumph over the virus within the network. We can reduce the virus by the appropriate recognition of the individuals in community of Saudi Arabia.
- COVID-19 model,
- transmission rout,
- uniqueness,
- stability,
- sumudu transform,
- Adams-Moulton rule,
- fractal fractional
Citation: Shao-Wen Yao, Muhammad Farman, Maryam Amin, Mustafa Inc, Ali Akgül, Aqeel Ahmad. Fractional order COVID-19 model with transmission rout infected through environment[J]. AIMS Mathematics, 2022, 7(4): 5156-5174. doi: 10.3934/math.2022288

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Abstract

In this paper, we study a fractional order COVID-19 model using different techniques and analysis. The sumudu transform is applied with the environment as a route of infection in society to the proposed fractional-order model. It plays a significant part in issues of medical and engineering as well as its analysis in community. Initially, we present the model formation and its sensitivity analysis. Further, the uniqueness and stability analysis has been made for COVID-19 also used the iterative scheme with fixed point theorem. After using the Adams-Moulton rule to support our results, we examine some results using the fractal fractional operator. Demonstrate the numerical simulations to prove the efficiency of the given techniques. We illustrate the visual depiction of sensitive parameters that reveal the decrease and triumph over the virus within the network. We can reduce the virus by the appropriate recognition of the individuals in community of Saudi Arabia.

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