An optimal lockdown relaxation strategy for minimizing the economic effects of covid–19 outbreak

In order to recover the damage to the economy by the ongoing covid–19 pandemic, many countries consider the transition from strict lockdowns to partial lockdowns through relaxation of preventive measures. In this work, we propose an optimal lockdown relaxation strategy, which is aimed at minimizing the damage to the economy, while confining the covid–19 incidence to a level endurable by the available healthcare facilities in the country. In order to capture the transmission dynamics, we adopt the compartment models and develop the relevant optimization model, which turns out to be non–linear. We generate approximate solutions to the problem, whereas our experimentation is based on the data on the covid–19 outbreak in Sri Lanka.