Optimal prevention strategy of the type SIR COVID-19 spread model in Indonesia

Abstract

This paper studied the optimal control for the spread of the type SIR COVID-19 in Indonesia. Optimal control provided by prevention of COVID-19 with Large-Scale Social Restrictions in the Framework of Accelerated Handling COVID-19 (u 1 * ) and COVID-19 treatment efforts (u 2 * ). Data obtained from COVID-19.go.id from July 1-September 30, 2020. The increase in COVID-19 cases can be seen from the basic reproduction number ( R 0 ) greater than one, which means that the number of active cases of COVID-19 in Indonesia continues to increase. The Indonesian government has made efforts to overcome the spread of COVID-19 but the number of active cases of COVID-19 is still increasing. Optimal control u 1 * and u 2 * can significantly reduce the number of active COVID-19 individuals compared without control. Optimal control u 2 * significantly can increase the number of individuals who recovered COVID-19 compared without control.