LIMA, E. S.; http://lattes.cnpq.br/3705577178602392; LIMA, Eduardo da Silva.
Resumen:
This paper aims to present a study on the autonomous equations focused on population
dynamics. The coices of this topic was justified by the ongoing Covid-19 pandemic, in which
we seek to understand how a disease spreads according to the Malthus and Verhulst ́s models.
First, it is presented a background approach about the development of differential equations.
Then, it is presented the basic theory of differential equations based on the autonomous
equations and geometric analysis of the solutions. So, it was possible to analyze some
applications related to the theory of population dynamics from the perspective of pandemics, in
order to check how the autonomous equations are used to outline important models in the study,
control, and fighting of pandemics. Through this, we can check when there will be a possible
flattening of the epidemic curve and act as quickly as possible to combat it. In particular, we
also seek to understand how the Covid-19 pandemic develops under the population dynamics,
what may work as interest in the study of this topic.