In this work, we estimate the total number of infected and deaths by COVID-19 in Brazil and two Brazilian States (Rio de Janeiro and Sao Paulo). To obtain the unknown data, we use an iterative method in the Gompertz model, whose formulation is well known in the field of biology. Based on data collected from the Ministry of Health from February 26, 2020, to July 2, 2020, we predict, from July 3 to 9 and at the end of the epidemic, the number of infected and killed for the whole country and for the Brazilian states of Sao Paulo and Rio de Janeiro. We estimate, until July 9, 2020, a total of 1,709,755 cases and 65,384 deaths in Brazil, 331,718 cases and 15,621 deaths in Sao Paulo, 134,454 cases and 11,574 deaths in Rio de Janeiro. We also estimate the basic reproduction number \(R_0\) for Brazil and its two states. The estimated values \((R_0)\) were 1.3, 1.3, and 1.4 for Brazil, Sao Paulo, and Rio de Janeiro, respectively. The results show a good fit between the observed data and those obtained by the Gompertz. The proposed methodology can also be applied to other countries and Brazilian states, and we provide an executable as well as the source code for a straightforward application of the method on such data.

在这项工作中，我们估算了巴西和巴西两个州（里约热内卢和圣保罗）的 COVID-19 感染和死亡总数。为了获得未知数据，我们在 Gompertz 模型中使用迭代方法，其公式在生物学领域众所周知。根据卫生部2020年2月26日至2020年7月2日收集的数据，我们预测7月3日至9日及疫情结束时，全国和全国的感染人数和死亡人数。巴西圣保罗州和里约热内卢州。我们估计，截至 2020 年 7 月 9 日，巴西共有 1,709,755 例病例和 65,384 例死亡，圣保罗共有 331,718 例病例和 15,621 例死亡，里约热内卢共有 134,454 例病例和 11,574 例死亡。我们还估计了巴西及其两个州的基本再生数\(R_0\) 。巴西、圣保罗和里约热内卢的估计值\((R_0)\)分别为 1.3、1.3 和 1.4。结果表明观测数据与 Gompertz 获得的数据非常吻合。所提出的方法也可以应用于其他国家和巴西各州，我们提供了可执行文件以及源代码，以便在此类数据上直接应用该方法。