Agusyarif Rezka Nuha, Novianita Achmad, Gusti Arviana Rahman, Syarif Abdullah, Sri Istiyarti Uswatun Chasanah, Nina Valentika, La Ode Nashar
This study constructs an SVIR-type COVID-19 spread model into a model with control variables or optimum control problems. In the formulation of the model with controls, we set four control variables, namely vaccination strategy, quarantine, reduction of vaccine shrinkage, and treatment. Pontryagin 's maximum principle is applied in the model as a sufficient condition to achieve optimum conditions for minimizing the objective function. This study uses a numerical solution to describe the theoretical results. The results showed that the control model could accelerate the decrease in the number of individuals in the infected population class. We found that vaccination is a top priority that needs to be done to reduce the number of cases of COVID-19 infection. In addition, the implementation of quarantine can also be considered to accelerate the decrease in the number of individuals infected with COVID-19. © 2022, Universitas Pattimura. All rights reserved.
Mathematics Department, Gorontalo State University, Jl. Prof. Dr. Ing. BJ Habibie, Bone Bolango Regency, Gorontalo, Indonesia; Mathematics Department, Halu Oleo University, Jl. HEA Mokodompit, Kendari City, Indonesia; Mechanical Engineering Department, University of Sultan Ageng Tirtayasa, Jl. Jenderal Sudirman KM 03, Banten, Indonesia; Mathematics Department, UIN Sunan Kalijaga, Jl. Marsda Adisucipto, Yogyakarta, 55281, Indonesia; Mathematics Department, Pamulang University, Jl. Raya Puspiptek, Banten, South Tangerang City, Indonesia
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