SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method

Fractional order derivative has been widely used in many different areas such as bioengineering, fluid mechanics, circuits systems, biomathematics, and biomedicine. This study introduces the system of the fractional differential equation on SIR (Susceptible-Infected-Recovered) model to simulate the...

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Published in:Journal of Advanced Research in Applied Sciences and Engineering Technology
Main Author: Ali Z.M.; Rusly F.N.; Hassan N.H.A.; Idris N.A.M.; Batcha S.R.; Sadikin Z.
Format: Article
Language:English
Published: Semarak Ilmu Publishing 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189012225&doi=10.37934%2faraset.42.1.8292&partnerID=40&md5=bd75b1659741872e66ab6952814c7e68
id 2-s2.0-85189012225
spelling 2-s2.0-85189012225
Ali Z.M.; Rusly F.N.; Hassan N.H.A.; Idris N.A.M.; Batcha S.R.; Sadikin Z.
SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
2024
Journal of Advanced Research in Applied Sciences and Engineering Technology
42
1
10.37934/araset.42.1.8292
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189012225&doi=10.37934%2faraset.42.1.8292&partnerID=40&md5=bd75b1659741872e66ab6952814c7e68
Fractional order derivative has been widely used in many different areas such as bioengineering, fluid mechanics, circuits systems, biomathematics, and biomedicine. This study introduces the system of the fractional differential equation on SIR (Susceptible-Infected-Recovered) model to simulate the COVID-19 in Malaysia. The fractional derivative is described in Caputo sense and solved by the Adams Bashforth Moulton method. The Runge-Kutta method is used to prove and validate the numerical results obtained. The graphical representations of the simulation with difference fractional order have been presented. The derivative order, a with values more than 0.5 are acceptable and reliable. © 2024, Semarak Ilmu Publishing. All rights reserved.
Semarak Ilmu Publishing
24621943
English
Article
All Open Access; Hybrid Gold Open Access
author Ali Z.M.; Rusly F.N.; Hassan N.H.A.; Idris N.A.M.; Batcha S.R.; Sadikin Z.
spellingShingle Ali Z.M.; Rusly F.N.; Hassan N.H.A.; Idris N.A.M.; Batcha S.R.; Sadikin Z.
SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
author_facet Ali Z.M.; Rusly F.N.; Hassan N.H.A.; Idris N.A.M.; Batcha S.R.; Sadikin Z.
author_sort Ali Z.M.; Rusly F.N.; Hassan N.H.A.; Idris N.A.M.; Batcha S.R.; Sadikin Z.
title SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
title_short SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
title_full SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
title_fullStr SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
title_full_unstemmed SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
title_sort SIR Fractional Order of Simulated Covid-19 Cases using Adams Bashforth-Moulton Method
publishDate 2024
container_title Journal of Advanced Research in Applied Sciences and Engineering Technology
container_volume 42
container_issue 1
doi_str_mv 10.37934/araset.42.1.8292
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189012225&doi=10.37934%2faraset.42.1.8292&partnerID=40&md5=bd75b1659741872e66ab6952814c7e68
description Fractional order derivative has been widely used in many different areas such as bioengineering, fluid mechanics, circuits systems, biomathematics, and biomedicine. This study introduces the system of the fractional differential equation on SIR (Susceptible-Infected-Recovered) model to simulate the COVID-19 in Malaysia. The fractional derivative is described in Caputo sense and solved by the Adams Bashforth Moulton method. The Runge-Kutta method is used to prove and validate the numerical results obtained. The graphical representations of the simulation with difference fractional order have been presented. The derivative order, a with values more than 0.5 are acceptable and reliable. © 2024, Semarak Ilmu Publishing. All rights reserved.
publisher Semarak Ilmu Publishing
issn 24621943
language English
format Article
accesstype All Open Access; Hybrid Gold Open Access
record_format scopus
collection Scopus
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