ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD

Reinfection of a recovered individual either as a result of relapse or new contact no doubt poses a major threat to the eradication of an infection within the host community. In this work, the role of re-infection in the transmission dynamics of COVID-19 was considered and analysed using the s...

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Main Authors: Opeyemi Odetunde, Jibril Lawal, Ally Yeketi Ayinla
Format: Article
Language:English
Published: UiTM Press 2021-03-01
Series:Malaysian Journal of Computing
Subjects:
Online Access:https://mjoc.uitm.edu.my/main/images/journal/vol6-1-2021/8-Odetunde-et-al-Vol-61.pdf
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author Opeyemi Odetunde
Jibril Lawal
Ally Yeketi Ayinla
author_facet Opeyemi Odetunde
Jibril Lawal
Ally Yeketi Ayinla
author_sort Opeyemi Odetunde
collection DOAJ
description Reinfection of a recovered individual either as a result of relapse or new contact no doubt poses a major threat to the eradication of an infection within the host community. In this work, the role of re-infection in the transmission dynamics of COVID-19 was considered and analysed using the semi-analytical tool Differential Transform Method (DTM). COVID-19 (also known as Coronavirus) has shut down the economy of the world since it became a global pandemic. A mathematical model was constructed with consideration of multiple pathways of infection transmission, the treatment strategies and policies adopted (social distancing, wearing of face mask and so on) to limit the spread of the infection globally. The non-linear system of equations governing the model was solved using DTM and the resulting series solution was compared with the standard numeric Runge-Kutta order 4 (RK4). It was discovered that re-integration of a recovered individual into the susceptible community without observing the prevention guidelines such as social distancing, washing of hands and proper sanitizing could increase the spread of the infection since the recovered individuals are not guaranteed of immunity against the infection after recovery. The study concluded that families of recovered patients must ensure adequate preventive measure while integrating their recovered loved ones back to their midst.
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spelling doaj.art-1f5e96ff8209447fa76edd47aa9cef582023-11-28T01:43:39ZengUiTM PressMalaysian Journal of Computing2600-82382021-03-016174575710.24191/mjoc.v6i1.9814ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHODOpeyemi Odetunde0Jibril Lawal1Ally Yeketi Ayinla2Department of Mathematics, University of Ilorin, P.M.B. 1515, Kwara State, NigeriaMathematics Department, Federal University, Zamfara, Zamfara State, NigeriaDepartment of Mathematics, University of Ilorin, P.M.B. 1515, Kwara State, NigeriaReinfection of a recovered individual either as a result of relapse or new contact no doubt poses a major threat to the eradication of an infection within the host community. In this work, the role of re-infection in the transmission dynamics of COVID-19 was considered and analysed using the semi-analytical tool Differential Transform Method (DTM). COVID-19 (also known as Coronavirus) has shut down the economy of the world since it became a global pandemic. A mathematical model was constructed with consideration of multiple pathways of infection transmission, the treatment strategies and policies adopted (social distancing, wearing of face mask and so on) to limit the spread of the infection globally. The non-linear system of equations governing the model was solved using DTM and the resulting series solution was compared with the standard numeric Runge-Kutta order 4 (RK4). It was discovered that re-integration of a recovered individual into the susceptible community without observing the prevention guidelines such as social distancing, washing of hands and proper sanitizing could increase the spread of the infection since the recovered individuals are not guaranteed of immunity against the infection after recovery. The study concluded that families of recovered patients must ensure adequate preventive measure while integrating their recovered loved ones back to their midst.https://mjoc.uitm.edu.my/main/images/journal/vol6-1-2021/8-Odetunde-et-al-Vol-61.pdfdtmre-infectionrelapserk4pandemiccovid-19
spellingShingle Opeyemi Odetunde
Jibril Lawal
Ally Yeketi Ayinla
ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD
Malaysian Journal of Computing
dtm
re-infection
relapse
rk4
pandemic
covid-19
title ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD
title_full ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD
title_fullStr ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD
title_full_unstemmed ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD
title_short ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD
title_sort role of reinfection in transmission dynamics of covid 19 a semi analytical approach using differential transform method
topic dtm
re-infection
relapse
rk4
pandemic
covid-19
url https://mjoc.uitm.edu.my/main/images/journal/vol6-1-2021/8-Odetunde-et-al-Vol-61.pdf
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AT jibrillawal roleofreinfectionintransmissiondynamicsofcovid19asemianalyticalapproachusingdifferentialtransformmethod
AT allyyeketiayinla roleofreinfectionintransmissiondynamicsofcovid19asemianalyticalapproachusingdifferentialtransformmethod