Artikel ; Online: Fractal and fractional SIS model for syphilis data.
2023 Band 33, Heft 9
Abstract: 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 ... ...
Abstract | 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 (R0) 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. |
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Mesh-Begriff(e) | Humans ; Epidemiological Models ; Fractals ; Syphilis ; Brazil |
Sprache | Englisch |
Erscheinungsdatum | 2023-09-15 |
Erscheinungsland | United States |
Dokumenttyp | Journal Article |
ZDB-ID | 1472677-4 |
ISSN | 1089-7682 ; 1054-1500 |
ISSN (online) | 1089-7682 |
ISSN | 1054-1500 |
DOI | 10.1063/5.0153122 |
Datenquelle | MEDical Literature Analysis and Retrieval System OnLINE |
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