This study discusses about optimal control for spread of Covid-19 disease with the assumptionthat there is a subpopulation of individuals infected with the new variant of Covid-19. Transmission canoccur between individuals in susceptible subpopulations and individuals in subpopulations infected withCovid-19. SIVRS model is used by assumes that there is control variable in the form of the vaccinationstrategy given to susceptible individuals. This study aims to minimize the number of individuals in thesubpopulation infected and infected with the new variant. An analysis of the optimal control solution wascarried out using the Hamiltonian function and then solving it using the Sweep Forward and Back methodin Matlab. The results show that the vaccination strategy implemented can minimize the number ofindividuals in the subpopulation infected and infected with the new variant.
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