Fractional modeling of COVID-19 dynamics
The present work seeks to provide a comparison between the classical epidemiological model using ordinary differential equations and an approach through the fractional calculus, using the COVID-19 pandemic in Brazil as a case study. To do that,we propose a classic SAIRD (susceptible-asymptomaticsym...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | Portuguese |
| Published: |
UNESP
2022-09-01
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| Series: | CQD Revista Eletrônica Paulista de Matemática |
| Subjects: | |
| Online Access: | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/333 |
| _version_ | 1797696045302415360 |
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| author | Micaeli Mendola Theodoro Thomas Nogueira Vilches Rubens de Figueiredo Camargo Paulo Fernando de Arruda Mancera |
| author_facet | Micaeli Mendola Theodoro Thomas Nogueira Vilches Rubens de Figueiredo Camargo Paulo Fernando de Arruda Mancera |
| author_sort | Micaeli Mendola Theodoro |
| collection | DOAJ |
| description |
The present work seeks to provide a comparison between the classical epidemiological model using ordinary differential equations and an approach through the fractional calculus, using the COVID-19 pandemic in Brazil as a case study. To do that,we propose a classic SAIRD (susceptible-asymptomaticsymptomatic-recovered-dead) model and its fractional generalization, and we used the 𝐵1 method and the mean squared error to compare and demonstrate which model and strategy is more accurate reproducing the data of COVID-19 in Brazil.
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| first_indexed | 2024-03-12T03:20:54Z |
| format | Article |
| id | doaj.art-41c94205962b4bf1b897fb29ba7819c8 |
| institution | Directory Open Access Journal |
| issn | 2316-9664 |
| language | Portuguese |
| last_indexed | 2024-03-12T03:20:54Z |
| publishDate | 2022-09-01 |
| publisher | UNESP |
| record_format | Article |
| series | CQD Revista Eletrônica Paulista de Matemática |
| spelling | doaj.art-41c94205962b4bf1b897fb29ba7819c82023-09-03T13:58:06ZporUNESPCQD Revista Eletrônica Paulista de Matemática2316-96642022-09-01222Fractional modeling of COVID-19 dynamicsMicaeli Mendola Theodoro0Thomas Nogueira Vilches1Rubens de Figueiredo Camargo2Paulo Fernando de Arruda Mancera3IBB - Instituto de Biociências - UNESP - Universidade Estadual Paulista "Júlio de Mesquita Filho" Agent-Based Modelling Laboratory York University, Toronto, Ontario, Canada UNESP - Universidade Estadual Paulista “Júlio de Mesquita Filho” IBB - Instituto de Biociências - UNESP - Universidade Estadual Paulista "Júlio de Mesquita Filho" The present work seeks to provide a comparison between the classical epidemiological model using ordinary differential equations and an approach through the fractional calculus, using the COVID-19 pandemic in Brazil as a case study. To do that,we propose a classic SAIRD (susceptible-asymptomaticsymptomatic-recovered-dead) model and its fractional generalization, and we used the 𝐵1 method and the mean squared error to compare and demonstrate which model and strategy is more accurate reproducing the data of COVID-19 in Brazil. https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/333Fractional ModelingPopulation DynamicsComputational StrategiesNumerical MethodsCOVID-19. |
| spellingShingle | Micaeli Mendola Theodoro Thomas Nogueira Vilches Rubens de Figueiredo Camargo Paulo Fernando de Arruda Mancera Fractional modeling of COVID-19 dynamics CQD Revista Eletrônica Paulista de Matemática Fractional Modeling Population Dynamics Computational Strategies Numerical Methods COVID-19. |
| title | Fractional modeling of COVID-19 dynamics |
| title_full | Fractional modeling of COVID-19 dynamics |
| title_fullStr | Fractional modeling of COVID-19 dynamics |
| title_full_unstemmed | Fractional modeling of COVID-19 dynamics |
| title_short | Fractional modeling of COVID-19 dynamics |
| title_sort | fractional modeling of covid 19 dynamics |
| topic | Fractional Modeling Population Dynamics Computational Strategies Numerical Methods COVID-19. |
| url | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/333 |
| work_keys_str_mv | AT micaelimendolatheodoro fractionalmodelingofcovid19dynamics AT thomasnogueiravilches fractionalmodelingofcovid19dynamics AT rubensdefigueiredocamargo fractionalmodelingofcovid19dynamics AT paulofernandodearrudamancera fractionalmodelingofcovid19dynamics |