Optimal Prevention and Treatment Control on SVEIR Type Model Spread of COVID-19

COVID-19 pandemic has disrupted the world's health and economy resulted in many deaths since first case occurred China at end of 2019. Moreover, The disease spread throughout world, including Indonesia on March 2, 2020. Coronavirus quickly spreads through droplets phlegm throat to lungs. Researchers medical field exact science are jointly examined spread, prevention, optimal control disease. Due prevention COVID-19, a vaccine been found early 2021, which time, vaccination process was carried out worldwide against COVID-19. This paper examines model SVEIR-type by considering subpopulation. In this study, efforts ( ) healing given being analyzed with fourth-order Runge-Kutta approach. Based numerical simulations, it can be seen that using controls reduce number infected individuals subpopulation compared those without control. increase recovered individual subpopulations.Keywords: COVID-19; SVEIR model; control; treatment; vaccination.