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The world evolution of the Severe acute respiratory syndrome coronavirus 2(SARS-Cov2 or simply COVID-19) led the World Health Organization to declare ita pandemic. The disease appeared in China in December 2019, and it has spreadfast around the world, specially in european countries like Italy and Spain.The first reported case in Brazil was recorded in February 26, and after thatthe number of cases growed fast. In order to slow down the initial growth ofthe disease through the country, confirmed positive cases were isolated to nottransmit the disease. To better understand the early evolution of COVID-19 inBrazil, we apply a Susceptible-Infectious-Quarantined-Recovered (SIQR) model tothe analysis of data from the Brazilian Department of Health, obtained fromFebruary 26, 2020 through March 25, 2020. Based on analyical and numericalresults, as well on the data, the basic reproduction number is estimated to$R_{0}=5.25$. In addition, we estimate that the ratio unidentified infectiousindividuals and confirmed cases at the beginning of the epidemic is about $10$,in agreement with previous studies. We also estimated the epidemic doublingtime to be $2.72$ days.

Modeling the early evolution of the COVID-19 in Brazil: results from a Susceptible-Infectious-Quarantined-Recovered (SIQR) model