Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19
This paper investigates numerical properties of a flux-based finite element method for the discretization of a SEIQRD (susceptible-exposed-infected-quarantined-recovered-deceased) model for the spread of COVID-19. The model is largely based on the SEIRD (susceptible-exposed-infected-recovered-deceas...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-02-01
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| Series: | Computation |
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| Online Access: | https://www.mdpi.com/2079-3197/9/2/18 |
| _version_ | 1797414520385175552 |
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| author | Fleurianne Bertrand Emilie Pirch |
| author_facet | Fleurianne Bertrand Emilie Pirch |
| author_sort | Fleurianne Bertrand |
| collection | DOAJ |
| description | This paper investigates numerical properties of a flux-based finite element method for the discretization of a SEIQRD (susceptible-exposed-infected-quarantined-recovered-deceased) model for the spread of COVID-19. The model is largely based on the SEIRD (susceptible-exposed-infected-recovered-deceased) models developed in recent works, with additional extension by a quarantined compartment of the living population and the resulting first-order system of coupled PDEs is solved by a Least-Squares meso-scale method. We incorporate several data on political measures for the containment of the spread gathered during the course of the year 2020 and develop an indicator that influences the predictions calculated by the method. The numerical experiments conducted show a promising accuracy of predictions of the space-time behavior of the virus compared to the real disease spreading data. |
| first_indexed | 2024-03-09T05:34:27Z |
| format | Article |
| id | doaj.art-73e572bd3b82422d9bcb37f87d5c3c9e |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-09T05:34:27Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-73e572bd3b82422d9bcb37f87d5c3c9e2023-12-03T12:30:02ZengMDPI AGComputation2079-31972021-02-01921810.3390/computation9020018Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19Fleurianne Bertrand0Emilie Pirch1Department of Computational Mathematics, Humboldt-Universität zu Berlin, 12489 Berlin, GermanyDepartment of Computational Mathematics, Humboldt-Universität zu Berlin, 12489 Berlin, GermanyThis paper investigates numerical properties of a flux-based finite element method for the discretization of a SEIQRD (susceptible-exposed-infected-quarantined-recovered-deceased) model for the spread of COVID-19. The model is largely based on the SEIRD (susceptible-exposed-infected-recovered-deceased) models developed in recent works, with additional extension by a quarantined compartment of the living population and the resulting first-order system of coupled PDEs is solved by a Least-Squares meso-scale method. We incorporate several data on political measures for the containment of the spread gathered during the course of the year 2020 and develop an indicator that influences the predictions calculated by the method. The numerical experiments conducted show a promising accuracy of predictions of the space-time behavior of the virus compared to the real disease spreading data.https://www.mdpi.com/2079-3197/9/2/18COVID-19least-squares finite element methodsusceptible-exposed-infected-quarantined-recovered-deceased (SEIQRD) |
| spellingShingle | Fleurianne Bertrand Emilie Pirch Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19 Computation COVID-19 least-squares finite element method susceptible-exposed-infected-quarantined-recovered-deceased (SEIQRD) |
| title | Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19 |
| title_full | Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19 |
| title_fullStr | Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19 |
| title_full_unstemmed | Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19 |
| title_short | Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19 |
| title_sort | least squares finite element method for a meso scale model of the spread of covid 19 |
| topic | COVID-19 least-squares finite element method susceptible-exposed-infected-quarantined-recovered-deceased (SEIQRD) |
| url | https://www.mdpi.com/2079-3197/9/2/18 |
| work_keys_str_mv | AT fleuriannebertrand leastsquaresfiniteelementmethodforamesoscalemodelofthespreadofcovid19 AT emiliepirch leastsquaresfiniteelementmethodforamesoscalemodelofthespreadofcovid19 |