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Fractal and Fractional SIS model for syphilis data by Gabrick, Enrique C.; Sayari, Elaheh; de Souza, Diogo Leonai Marques; Borges, Fernando da Silva; Trobia, José; Lenzi, Ervin K.; Batista, Antonio M. is a scholarly article available to read on EtoBox.

What is Fractal and Fractional SIS model for syphilis data about?

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.

Author

Gabrick, Enrique C.; Sayari, Elaheh; de Souza, Diogo Leonai Marques; Borges, Fernando da Silva; Trobia, José; Lenzi, Ervin K.; Batista, Antonio M.

Published

2023

Language

EN