Modelos matemáticos de equações diferenciais aplicados ao estudo da pandemia de SARS-CoV-2

Abstract

This work presents a study on applications of Ordinary Differential Equations to Epidemiology. We analyze the behavior of some epidemiological models using the concepts of the Qualitative Theory of Differential Equations. In particular, we analyzed the epidemic caused by the SARS-CoV-2 virus, which causes the COVID-19 disease, in the city of Rondonópolis. Therefore, we study the main concepts involved in the modeling process, in addition to demonstrating mathematical results that corroborate the statements generated by the proposed models. Finally, based on the studies carried out, we discuss the importance of teaching the exponential function for high school students.