A SIAR Model of COVID-19 with Control

During 2020, the new coronavirus disease (COVID-19) was spreading rapidly, having devastating consequences and causing serious problems in 213 countries and territories. Until July 15, 2020, the total recorded cases was 12 415 672 and total death around 557 925 in the World, with an increasing trend of global new cases making COVID-19 one of the most disastrous outbreak since the Spanish flu. Prevention, testing and control are the main methods to reduce the propagation of the virus. Mathematical modeling remains one of the best ways to analyse the spread of this virus and control its prevalence. In this sense, we propose, in the present paper, a SIAR compartment model with control in order to reduce the reproduction number R-0 and slow down the epidemic outbreak. A stability analysis of equilibrium points is carried out and numerical simulations are performed to stress on the impact of different prevention levels and control the spread of the pandemic.