Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 64, pp. 1-17. Title: Assessing the efficiency of different control strategies for the COVID-19 epidemic Authors: Cesar Castilho (Univ. Federal de Pernambuco, Recife, Brazil) Joao A. M. Gondim (Univ. Federal Rural de Pernambuco, PE, Brazil) Marcelo Marchesin (Univ. Federal de Minas Gerais,Belo Horizonte, MG, Brazil) Mehran Sabeti (Univ. Federal de Vicosa, MG, Brazil) Abstract: The goal of this work is to analyze the effects of control policies for the coronavirus (COVID-19) epidemic in Brazil. This is done by considering an age-structured SEIR model with a quarantine class and two types of controls. The first one studies the sensitivity with regard to the parameters of the basic reproductive number R0 which is calculated by a next generation method. The second one evaluates different quarantine strategies by comparing their relative total number of deaths. Submitted April 6, 2020. Published June 24, 2020. Math Subject Classifications: 92D30, 93C15, 34H05. Key Words: Coronavirus; quarantine; epidemic; SEIR models.