OVERVIEW OF THE COVID-19 IN NORTHEAST BRAZIL: ANALYSES AND FORECASTS VIA GROWTH MODELS

Abstract

The Covid-19 pandemic, caused by the new coronavirus (SARS-CoV-2), is one of the gravest public health crises the world has ever faced. In this context, it is important to have effective models to describe the different stages of the epidemic, in order to offer guidance to the competent authorities regarding the adoption of public policies to contain and control the pandemic. In this work, we present a novel method to analyze epidemic curves based on growth models, using as examples the cumulative curves of deaths attributed to Covid-19 for the states of the Northeastern Region of Brazil. Depending on the case, the q-exponential model, the Richards model or the generalized Richards model were used to make the numerical fits of the respective empirical curves. The models used here describe very well the empirical curves of all the Northeastern Brazilian States, thus allowing a more precise diagnosis of the stage of the epidemic in each of the States. 

Among them, only the state of Paraíba is still in the early growth phase, when the epidemic curve does not yet have an inflexion point, being in this case better described by the q-exponential model.  The other states were better described either by the Richards model or by its generalized version. The Richards model, in particular, was able to identify with reasonable reliability the emergence of the inflexion point for states that only recently have reached this stage of the epidemic, such as Piauí, Rio Grande do Norte and Sergipe. This model is also able to predict when the inflection is about to occur, as is the case in Bahia. The generalized Richards model, in turn, has proved more appropriate to describe epidemic curves in states that are in a more developed phase of the epidemic, such as Ceará and Pernambuco, when the epidemic curves already show a more consolidated trend of saturation toward the plateau.