| Texto completo | |
| Autor(es): |
Gabrick, Enrique C.
;
Sayari, Elaheh
;
Souza, Diogo L. M.
;
Borges, Fernando S.
;
Trobia, Jose
;
Lenzi, Ervin K.
;
Batista, Antonio M.
Número total de Autores: 7
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Chaos; v. 33, n. 9, p. 9-pg., 2023-09-01. |
| Resumo | |
This work studies the SIS model extended by fractional and fractal derivatives. We obtain explicit solutions for the standard and fractal formulations; for the fractional case, we study numerical solutions. As a real data example, we consider the Brazilian syphilis data from 2011 to 2021. We fit the data by considering the three variations of the model. Our fit suggests a recovery period of 11.6 days and a reproduction ratio (R-0) equal to 6.5. By calculating the correlation coefficient (r) between the real data and the theoretical points, our results suggest that the fractal model presents a higher r compared to the standard or fractional case. The fractal formulation is improved when two different fractal orders with distinguishing weights are considered. This modification in the model provides a better description of the data and improves the correlation coefficient. (AU) | |
| Processo FAPESP: | 22/13761-9 - Dinâmica de Sistemas Complexos |
| Beneficiário: | Iberê Luiz Caldas |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Brasil |