In this study, according to the characteristics of the COVID-19 transmission, the whole population at time t is divided into seven compartments which include the susceptible individuals S(t), exposed individuals E(t), infectious individuals I(t), removed individuals R(t), quarantined susceptible individuals S q(t), quarantined exposed individuals E q(t) and quarantined infectious individuals I q(t). The COVID-19 disease is transmitted from I(t) to S(t) with the incidence rate of β, and from E(t) to S(t) with the incidence rate of σβ, respectively. The susceptible individuals S(t) is partly quarantined with the rate of q 1(t). We assume that exposed individuals E(t) and quarantined exposed individuals E q(t) are transmitted to infectious individuals I(t) and quarantined infectious individuals I q(t) with the same transition rate of ν. The quarantined rates of exposed individuals E(t) and infectious individuals I(t) are q 1(t) and q 3. The death rate induced by the COVID-19 disease is α in both infectious individuals I(t) and quarantined infectious individuals I q(t) which removed to the removed individuals R(t) . γ(t) is the recovery rate of quarantined infected individuals I q(t) which is the mainly part of removed individuals R(t).