Equações diferenciais ordinárias associadas ao modelo SIR: uma análise com licenciandos em matemática

Abstract

The objective of this work is to show how the use of the Compartmental Model SIR (Susceptible - Infected - Removed) contributes to the teaching of contents of Ordinary Differential Equations (ODE). In order to achieve this objective, a short course was developed, “Paths for contextualization: The SIR model as an application of ODE”, for undergraduate students of the Mathematics Degree at the Institute of Education, Science and Technology of Piauí (IFPI) – Campus São Raimundo Nonato, in which the SIR Model was used as a didactic resource to assist in the understanding of ODE contents, as well as in the association with mathematical models, seeking to exemplify these concepts through a current event in our society, which is the case of the coronavirus pandemic. Coronavirus (COVID-19). For data collection, two questionnaires were used, the first being applied at the beginning of the mini-course and the second shortly after completion. Among the results, it can be seen that the use of the SIR Model, as a didactic resource, has the potential to facilitate the understanding of ODE contents by associating it with real situations, contributing to the significant learning of the course's students.