A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method

This study aims to assess the effectiveness of recent advancements in COVID-19 treatment, specifically antiviral medicines and monoclonal antibodies, in curbing the virus’s spread. We present a mathematical model incorporating these factors and qualitatively demonstrate its efficiency via positivity...

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Main Authors: Morufu Oyedunsi Olayiwola, Adedapo Ismaila Alaje, Akeem Olarewaju Yunus, Kamilu Adewale Adedokun, Kehinde Adekunle Bashiru
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Results in Control and Optimization
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666720724000146
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author Morufu Oyedunsi Olayiwola
Adedapo Ismaila Alaje
Akeem Olarewaju Yunus
Kamilu Adewale Adedokun
Kehinde Adekunle Bashiru
author_facet Morufu Oyedunsi Olayiwola
Adedapo Ismaila Alaje
Akeem Olarewaju Yunus
Kamilu Adewale Adedokun
Kehinde Adekunle Bashiru
author_sort Morufu Oyedunsi Olayiwola
collection DOAJ
description This study aims to assess the effectiveness of recent advancements in COVID-19 treatment, specifically antiviral medicines and monoclonal antibodies, in curbing the virus’s spread. We present a mathematical model incorporating these factors and qualitatively demonstrate its efficiency via positivity, existence and uniqueness of solution. Analyzing the basic reproductive threshold and sensitivity, we find that these therapeutic measures, coupled with heightened human awareness, effectively mitigate disease transmission. Employing the Laplace-Adomian decomposition method, we derive the model’s solution, confirming its accuracy via the ratio test. Numerical experiments using real-world COVID-19 data in Maple 18 software practically implies that while antiviral medications or monoclonal antibodies alone can lead to eradication, their combined implementation with increased human awareness results in rapid elimination.
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spelling doaj.art-7b311679fd4f498d95f44a68bfb2e3ab2024-03-17T07:59:02ZengElsevierResults in Control and Optimization2666-72072024-03-0114100384A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition methodMorufu Oyedunsi Olayiwola0Adedapo Ismaila Alaje1Akeem Olarewaju Yunus2Kamilu Adewale Adedokun3Kehinde Adekunle Bashiru4Department of Mathematical Sciences, Osun State University, Osogbo, NigeriaDepartment of Mathematical Sciences, Osun State University, Osogbo, Nigeria; Corresponding author.Department of Mathematical Sciences, Osun State University, Osogbo, NigeriaDepartment of Mathematical Sciences, Osun State University, Osogbo, NigeriaDepartment of Statistics, Osun State University, Osogbo, NigeriaThis study aims to assess the effectiveness of recent advancements in COVID-19 treatment, specifically antiviral medicines and monoclonal antibodies, in curbing the virus’s spread. We present a mathematical model incorporating these factors and qualitatively demonstrate its efficiency via positivity, existence and uniqueness of solution. Analyzing the basic reproductive threshold and sensitivity, we find that these therapeutic measures, coupled with heightened human awareness, effectively mitigate disease transmission. Employing the Laplace-Adomian decomposition method, we derive the model’s solution, confirming its accuracy via the ratio test. Numerical experiments using real-world COVID-19 data in Maple 18 software practically implies that while antiviral medications or monoclonal antibodies alone can lead to eradication, their combined implementation with increased human awareness results in rapid elimination.http://www.sciencedirect.com/science/article/pii/S2666720724000146Covid-19 modelTherapy awarenessAntiviral medicationMonoclonal antibodiesLaplace-Adomian decomposition method
spellingShingle Morufu Oyedunsi Olayiwola
Adedapo Ismaila Alaje
Akeem Olarewaju Yunus
Kamilu Adewale Adedokun
Kehinde Adekunle Bashiru
A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method
Results in Control and Optimization
Covid-19 model
Therapy awareness
Antiviral medication
Monoclonal antibodies
Laplace-Adomian decomposition method
title A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method
title_full A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method
title_fullStr A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method
title_full_unstemmed A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method
title_short A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method
title_sort mathematical modeling of covid 19 treatment strategies utilizing the laplace adomian decomposition method
topic Covid-19 model
Therapy awareness
Antiviral medication
Monoclonal antibodies
Laplace-Adomian decomposition method
url http://www.sciencedirect.com/science/article/pii/S2666720724000146
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