Optimal Control on a Mathematical Model of SIR and Application to Covid-19

In this study, we present a new epidemiological model, with contamination from confirmed and unreported. We also compute equilibria and study their stability without intervention strategies. Optimal control theory has proven to be a successful tool in understanding ways to curtail the spread of infectious diseases by devising optimal disease intervention strategies. We investigate the impact of distancing, case finding, and case-holding controls. At the same time, we minimize the number of infected and dead individuals by comparing two optimal strategies. The method consists of minimizing the functional cost related to infected and deceased individuals and controls through some strategies to reduce the spread of the \(COVID-19 \) epidemic.