Open AccessFractional Derivatives Applied to Epidemiology
Author(s) -
Noemi Zeraick Monteiro,
Sandro Rodrigues Mazorche
Publication year - 2021
Publication title -
trends in computational and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2676-0029
DOI - 10.5540/tcam.2021.022.02.00157
Subject(s) - fractional calculus , mathematics , pandemic , epidemiology , matlab , covid-19 , computer science , calculus (dental) , medicine , disease , dentistry , infectious disease (medical specialty) , operating system
We seek investigate the use of fractional derivatives, both analytically and through simulations. We derivate some models and perform investigations about them, discussing difficulties and differences between classic and fractional models. Also, we analyzed the COVID-19 pandemic using a fractional epidemiological SIR model and performed a numerical analysis using finite differences and implementation in MATLAB.