Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19
Abstract An Adaptive Susceptible-Infected-Removed-Vaccinated (A-SIRV) epidemic model with time-dependent transmission and removal rates is constructed for investigating the dynamics of an epidemic disease such as the COVID-19 pandemic. Real data of COVID-19 spread is used for the simultaneous identi...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-09-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-20276-7 |
| _version_ | 1798001472481263616 |
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| author | Tchavdar T. Marinov Rossitza S. Marinova |
| author_facet | Tchavdar T. Marinov Rossitza S. Marinova |
| author_sort | Tchavdar T. Marinov |
| collection | DOAJ |
| description | Abstract An Adaptive Susceptible-Infected-Removed-Vaccinated (A-SIRV) epidemic model with time-dependent transmission and removal rates is constructed for investigating the dynamics of an epidemic disease such as the COVID-19 pandemic. Real data of COVID-19 spread is used for the simultaneous identification of the unknown time-dependent rates and functions participating in the A-SIRV system. The inverse problem is formulated and solved numerically using the Method of Variational Imbedding, which reduces the inverse problem to a problem for minimizing a properly constructed functional for obtaining the sought values. To illustrate and validate the proposed solution approach, the present study used available public data for several countries with diverse population and vaccination dynamics—the World, Israel, The United States of America, and Japan. |
| first_indexed | 2024-04-11T11:36:49Z |
| format | Article |
| id | doaj.art-70098895e7cb4965ae593b23195219a5 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-11T11:36:49Z |
| publishDate | 2022-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-70098895e7cb4965ae593b23195219a52022-12-22T04:25:56ZengNature PortfolioScientific Reports2045-23222022-09-0112111310.1038/s41598-022-20276-7Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19Tchavdar T. Marinov0Rossitza S. Marinova1Department of Natural Sciences, Southern University at New OrleansDepartment of Mathematical and Physical Sciences, Concordia University of EdmontonAbstract An Adaptive Susceptible-Infected-Removed-Vaccinated (A-SIRV) epidemic model with time-dependent transmission and removal rates is constructed for investigating the dynamics of an epidemic disease such as the COVID-19 pandemic. Real data of COVID-19 spread is used for the simultaneous identification of the unknown time-dependent rates and functions participating in the A-SIRV system. The inverse problem is formulated and solved numerically using the Method of Variational Imbedding, which reduces the inverse problem to a problem for minimizing a properly constructed functional for obtaining the sought values. To illustrate and validate the proposed solution approach, the present study used available public data for several countries with diverse population and vaccination dynamics—the World, Israel, The United States of America, and Japan.https://doi.org/10.1038/s41598-022-20276-7 |
| spellingShingle | Tchavdar T. Marinov Rossitza S. Marinova Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19 Scientific Reports |
| title | Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19 |
| title_full | Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19 |
| title_fullStr | Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19 |
| title_full_unstemmed | Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19 |
| title_short | Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19 |
| title_sort | adaptive sir model with vaccination simultaneous identification of rates and functions illustrated with covid 19 |
| url | https://doi.org/10.1038/s41598-022-20276-7 |
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