Chasanah, Siti Laelatul and Utami, Yohana Tri and Nurvazly, Dina Eka and Syachrannie, Bagoes Fikri H. E. Optimal Control of Tuberculosis Transmission Model with Vaccination. In: The 2nd Universitas Lampung International Conference on Science, Technology and Environment (ULICoSTE) 2021. (Submitted)

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Abstract

Tuberculosis (TB) is a disease that causes many deaths in the world. This paper discusses optimal control strategies of TB transmission with vaccination in newborns and adults. This study aims to minimize the cost of vaccination intervention and reduce infected populations. Using the Pontryagin Principle, we obtained the optimal control characteristics of the model. Then, it transformed from a continuous to a semi-discrete function. It means that vaccination was given only at certain times. Next, numerical simulations were performed to obtain the optimal control interpretation. As a result, vaccination control was more effective in adults than newborns. Vaccination control for adults will be more effective if given every four years because it will minimize the weight cost of vaccination and reduce the infected population's number.

Item Type:	Conference or Workshop Item (Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User:	Siti Laelatul Chasanah
Date Deposited:	02 Nov 2021 01:22
Last Modified:	02 Nov 2021 01:22
URI:	http://repository.lppm.unila.ac.id/id/eprint/34786

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