Kendali Optimal pada Penyebaran Penyakit Covid-19 berdasarkan model SIVRS

Ratna Widayati; Mizan Ahmad; Noor Sofiyanti

doi:10.35580/jmathcos.v6i2.51735

Kendali Optimal pada Penyebaran Penyakit Covid-19 berdasarkan model SIVRS

Ratna Widayati^(1*), Mizan Ahmad⁽²⁾, Noor Sofiyanti⁽³⁾,

(1) Universitas Nahdlatul Ulama Al Ghazali Cilacap
(2) Universitas Nahdlatul Ulama Al Ghazali Cilacap
(3) Universitas Nahdlatul Ulama Purwokerto
(*) Corresponding Author

DOI: https://doi.org/10.35580/jmathcos.v6i2.51735

Abstract

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

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