Optimal Control and Cost-Effectiveness Analysis in An Epidemic Model with Viral Mutation and Vaccine Intervention
| Autor: | Yudi Ari Adi, Nursyiva Irsalinda, Meksianis Z Ndii |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Cauchy: Jurnal Matematika Murni dan Aplikasi, Vol 7, Iss 2, Pp 173-185 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2086-0382 2477-3344 |
| DOI: | 10.18860/ca.v7i2.13184 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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