Fractional Logistic Equation Applied to Brazilian COVID-19 Data
In this paper we analyzed a fractional logistic model applied to Brazilian COVID-19 data. In order to solve the logistic model, we presented a modified version of Adams-Bashforth numerical method. All numerical simulations were performed in MATLAB. As a result, the qualitative comparison between th...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | Portuguese |
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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/297 |
| _version_ | 1797699793510727680 |
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| author | Anne Karoline Feitoza Mendonça Gabriel Matos Souza Denilson Nogueira dos Santos Paixão Ronni Geraldo Gomes de Amorim Vinicius de Carvalho Rispoli |
| author_facet | Anne Karoline Feitoza Mendonça Gabriel Matos Souza Denilson Nogueira dos Santos Paixão Ronni Geraldo Gomes de Amorim Vinicius de Carvalho Rispoli |
| author_sort | Anne Karoline Feitoza Mendonça |
| collection | DOAJ |
| description |
In this paper we analyzed a fractional logistic model applied to Brazilian COVID-19 data. In order to solve the logistic model, we presented a modified version of Adams-Bashforth numerical method. All numerical simulations were performed in MATLAB. As a result, the qualitative comparison between the theoretical model and the cumulative confirmed cases showed a great proximity. In this case, the coefficient of determination, 𝑅2, between these data sets, was calculated to be 0, 917, attesting that the fractional model can be used to model real data with quality.
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| first_indexed | 2024-03-12T04:12:59Z |
| format | Article |
| id | doaj.art-7d4c40b4982f4190b71822da2c389b03 |
| institution | Directory Open Access Journal |
| issn | 2316-9664 |
| language | Portuguese |
| last_indexed | 2024-03-12T04:12:59Z |
| publishDate | 2022-09-01 |
| publisher | UNESP |
| record_format | Article |
| series | CQD Revista Eletrônica Paulista de Matemática |
| spelling | doaj.art-7d4c40b4982f4190b71822da2c389b032023-09-03T10:52:22ZporUNESPCQD Revista Eletrônica Paulista de Matemática2316-96642022-09-01222Fractional Logistic Equation Applied to Brazilian COVID-19 DataAnne Karoline Feitoza Mendonça0Gabriel Matos Souza1Denilson Nogueira dos Santos Paixão2Ronni Geraldo Gomes de Amorim3Vinicius de Carvalho Rispoli4Faculdade do Gama - Universidade de Brasília Faculdade do Gama - Universidade de Brasília Faculdade do Gama - Universidade de Brasília Faculdade do Gama Universidade de Brasília Faculdade do Gama - Universidade de Brasília In this paper we analyzed a fractional logistic model applied to Brazilian COVID-19 data. In order to solve the logistic model, we presented a modified version of Adams-Bashforth numerical method. All numerical simulations were performed in MATLAB. As a result, the qualitative comparison between the theoretical model and the cumulative confirmed cases showed a great proximity. In this case, the coefficient of determination, 𝑅2, between these data sets, was calculated to be 0, 917, attesting that the fractional model can be used to model real data with quality. https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/297Fractional CalculusCaputo Fractional DerivativeAdams-Bashforth methodFractional Logistic EquationCOVID-19. |
| spellingShingle | Anne Karoline Feitoza Mendonça Gabriel Matos Souza Denilson Nogueira dos Santos Paixão Ronni Geraldo Gomes de Amorim Vinicius de Carvalho Rispoli Fractional Logistic Equation Applied to Brazilian COVID-19 Data CQD Revista Eletrônica Paulista de Matemática Fractional Calculus Caputo Fractional Derivative Adams-Bashforth method Fractional Logistic Equation COVID-19. |
| title | Fractional Logistic Equation Applied to Brazilian COVID-19 Data |
| title_full | Fractional Logistic Equation Applied to Brazilian COVID-19 Data |
| title_fullStr | Fractional Logistic Equation Applied to Brazilian COVID-19 Data |
| title_full_unstemmed | Fractional Logistic Equation Applied to Brazilian COVID-19 Data |
| title_short | Fractional Logistic Equation Applied to Brazilian COVID-19 Data |
| title_sort | fractional logistic equation applied to brazilian covid 19 data |
| topic | Fractional Calculus Caputo Fractional Derivative Adams-Bashforth method Fractional Logistic Equation COVID-19. |
| url | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/297 |
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