ABSTRACT
In this paper we analyze COVID-19 spread in Indonesia using an epidemio logical model. We consider symptomatic and asymptomatic infections in the model. We analyze the equilibria of the model and their stability which depend on the basic reproduction ratio for symptomatic and asymptomatic infections. Furthermore, we use optimal control in prevention and treatment in decreasing the number of positive COVID-19 patients in Indonesia. Furthermore, we analyze the existence of optimal control using the Pontryagin minimum principle. We also give numerical simulation of COVID-19 spread with and without the control. According to the simulation, COVID-19 spread could be reduced by using prevention and treatment control simultaneously. © 2023 JONNER NAINGGOLAN et al.
ABSTRACT
In this paper we analyze COVID-19 spread in Indonesia using an epidemio logical model. We consider symptomatic and asymptomatic infections in the model. We analyze the equilibria of the model and their stability which depend on the basic reproduction ratio for symptomatic and asymptomatic infections. Furthermore, we use optimal control in prevention and treatment in decreasing the number of positive COVID-19 patients in Indonesia. Furthermore, we analyze the existence of optimal control using the Pontryagin minimum principle. We also give numerical simulation of COVID-19 spread with and without the control. According to the simulation, COVID-19 spread could be reduced by using prevention and treatment control simultaneously. © 2023 JONNER NAINGGOLAN et al.
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 (R0) 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 u1 and u2 can significantly reduce the number of active COVID-19 ∗ individuals compared without control. Optimal control u2 significantly can increase the number of individuals who recovered COVID-19 compared without control. © 2021 the author(s).