BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications

ANALYSIS OF OPTIMUM CONTROL ON THE IMPLEMENTATION OF VACCINATION AND QUARANTINE ON THE SPREAD OF COVID-19

Agusyarif Rezka Nuha (Mathematics Department, Gorontalo State University)
Novianita Achmad (Mathematics Department, Gorontalo State University)
Gusti Arviana Rahman (Mathematics Department, Halu Oleo University)
Syarif Abdullah (Mechanical Engineering Department, University of Sultan Ageng Tirtayasa)
Sri Istiyarti Uswatun Chasanah (Mathematics Department, UIN Sunan Kalijaga)
Nina Valentika (Mathematics Department, Pamulang University)
La Ode Nashar (Mathematics Department, Gorontalo State University)

Article Info

Publish Date
15 Dec 2022

Abstract

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.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...