An integer order and a fractional order epidemiologic model

• Grant number: 21/09221-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2021
• End date: August 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Andréa Cristina Prokopczyk Arita
• Grantee: Júlia Miquelete Vecchini
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

Taking advantage of the moment in which we are living due to the pandemic of the new corona virus, we will present a study of the epidemiological model SIR (susceptible infected recovered), which predicts the spread of a contagious disease, to motivate the study of differential equations of fractional order, comparing a mathematical model of fractional order derivative with the traditional model, with integer-order derivative.(AU)