Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemic
The year 2020 arrives with COVID-19. The pandemic poses a formidable threat to human existence at onset but is fought with various measures of which quarantine and hospitalization play a key role. In this article, a COVID-19 transmission mathematical model is developed to assess how quarantine and h...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2023-01-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3530_421d45ddbfb71bbdfd0f31542558e6cc.pdf |
| _version_ | 1827920805769510912 |
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| author | Abayomi Ayoade Paschal Ikpechukwu Srinivasarao Thota Olumuyiwa Peter |
| author_facet | Abayomi Ayoade Paschal Ikpechukwu Srinivasarao Thota Olumuyiwa Peter |
| author_sort | Abayomi Ayoade |
| collection | DOAJ |
| description | The year 2020 arrives with COVID-19. The pandemic poses a formidable threat to human existence at onset but is fought with various measures of which quarantine and hospitalization play a key role. In this article, a COVID-19 transmission mathematical model is developed to assess how quarantine and hospitalization aid improvement in the recovery of both asymptomatic and symptomatic infectious individuals during the toughest period of the pandemic in the year 2020. The basic properties of the model in terms of positivity and boundedness of solutions are discussed based on some ample mathematics theorems. The control reproductive ratio is derived using the next generation matrix approach and the local and global stabilities are investigated via stability theory of differential equations, which depend on the size of the derived control reproductive ratio. Numerical simulation is performed to confirm the analytical results. Findings from the simulation show that quarantine and hospitalization are helpful in averting imminent destruction posed by the pandemic in the years 2020 and early 2021 by reducing both COVID-19 transmission and mortality. |
| first_indexed | 2024-03-13T04:16:59Z |
| format | Article |
| id | doaj.art-b661bebede71499ba02c105167f9f25e |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T04:16:59Z |
| publishDate | 2023-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-b661bebede71499ba02c105167f9f25e2023-06-21T03:21:04ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-01-0112133936110.22103/jmmr.2022.19335.12363530Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemicAbayomi Ayoade0Paschal Ikpechukwu1Srinivasarao Thota2Olumuyiwa Peter3Department of Mathematics, Faculty of Science, University of Lagos, Lagos, NigeriaDepartment of Mathematics, Faculty of Science, University of Lagos, Lagos, NigeriaDepartment of Mathematics, School of Sciences, SR University, Warangal, Telangana-506371, IndiaDepartment Mathematical and Computer Sciences, University of Medical Sciences, Ondo, NigeriaThe year 2020 arrives with COVID-19. The pandemic poses a formidable threat to human existence at onset but is fought with various measures of which quarantine and hospitalization play a key role. In this article, a COVID-19 transmission mathematical model is developed to assess how quarantine and hospitalization aid improvement in the recovery of both asymptomatic and symptomatic infectious individuals during the toughest period of the pandemic in the year 2020. The basic properties of the model in terms of positivity and boundedness of solutions are discussed based on some ample mathematics theorems. The control reproductive ratio is derived using the next generation matrix approach and the local and global stabilities are investigated via stability theory of differential equations, which depend on the size of the derived control reproductive ratio. Numerical simulation is performed to confirm the analytical results. Findings from the simulation show that quarantine and hospitalization are helpful in averting imminent destruction posed by the pandemic in the years 2020 and early 2021 by reducing both COVID-19 transmission and mortality.https://jmmrc.uk.ac.ir/article_3530_421d45ddbfb71bbdfd0f31542558e6cc.pdfcovid-19quarantinehospitalizationmodelreproductive ratio |
| spellingShingle | Abayomi Ayoade Paschal Ikpechukwu Srinivasarao Thota Olumuyiwa Peter Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemic Journal of Mahani Mathematical Research covid-19 quarantine hospitalization model reproductive ratio |
| title | Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemic |
| title_full | Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemic |
| title_fullStr | Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemic |
| title_full_unstemmed | Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemic |
| title_short | Modeling the effect of quarantine and hospitalization on the spread of COVID-19 during the toughest period of the pandemic |
| title_sort | modeling the effect of quarantine and hospitalization on the spread of covid 19 during the toughest period of the pandemic |
| topic | covid-19 quarantine hospitalization model reproductive ratio |
| url | https://jmmrc.uk.ac.ir/article_3530_421d45ddbfb71bbdfd0f31542558e6cc.pdf |
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