Fractional Derivatives Applied to Epidemiology
ABSTRACT We seek investigate the use of fractional derivatives, both analytically and through simulations. We present some models and perform investigations about them, starting with the classic model and the basic definitions to discuss difficulties in constructing a non-artificial fractional model. Also, we analyze the COVID-19 pandemic using a fractional epidemiological SIR model carefully constructed and present numerical results using MATLAB.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
2021
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292021000200157 |
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| Summary: | ABSTRACT We seek investigate the use of fractional derivatives, both analytically and through simulations. We present some models and perform investigations about them, starting with the classic model and the basic definitions to discuss difficulties in constructing a non-artificial fractional model. Also, we analyze the COVID-19 pandemic using a fractional epidemiological SIR model carefully constructed and present numerical results using MATLAB. |
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