Cauchy_OPTIMAL CONTROL AND COST-EFFECTIVENESS ANALYSIS IN AN EPIDEMIC MODEL WITH VIRAL MUTATION AND VACCINE INTERVENTION

Adi, Yudi Ari and Irsalinda, Nursyifa and Z. Ndii, Meksianis (2022) Cauchy_OPTIMAL CONTROL AND COST-EFFECTIVENESS ANALYSIS IN AN EPIDEMIC MODEL WITH VIRAL MUTATION AND VACCINE INTERVENTION. CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI, 2 (7). ISSN p-ISSN: 2086-0382 | e-ISSN: 2477-3344 (Unpublished)

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Official URL: http://ejournal.uin-malang.ac.id/index.php/Math/ar...

Abstract

This paper introduces an optimal control problem in a two-strain SIR epidemic model with viral mutation and vaccine administration. The purpose of this study was to investigate the efficacy and cost-effectiveness of two disease prevention strategies, namely restriction of community mobility to prevent disease transmission and vaccine intervention. We consider the time-dependent control case, and we use Pontryagin’s Maximum Principle to derive necessary conditions for the optimal control of the disease. We also calculate the Average Cost-Effectiveness Ratio (ACER) and the Incremental Cost-Effectiveness Ratio (ICER) to investigate the cost-effectiveness of all possible strategies of the control measures. The results of this study indicate that the most cost-effective disease control strategy is a combination of mobility restriction and vaccination.

Item Type:	Artikel Umum
Subjects:	Q Science > Q Science (General)
Divisi / Prodi:	Faculty of Applied Science and Technology (Fakultas Sains Dan Teknologi Terapan) > S1-Mathematics (S1-Matematika)
Depositing User:	Dr. Yudi Ari Adi
Date Deposited:	26 Mar 2022 03:29
Last Modified:	19 Apr 2022 03:37
URI:	http://eprints.uad.ac.id/id/eprint/34079

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