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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Format: | Article |
Language: | English |
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Elsevier
2024-03-01
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Series: | Results in Control and Optimization |
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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. |
first_indexed | 2024-03-08T06:20:27Z |
format | Article |
id | doaj.art-7b311679fd4f498d95f44a68bfb2e3ab |
institution | Directory Open Access Journal |
issn | 2666-7207 |
language | English |
last_indexed | 2024-04-24T23:12:40Z |
publishDate | 2024-03-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Control and Optimization |
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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