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All Journal JURNAL ILMIAH MATEMATIKA DAN TERAPAN Malikussaleh Journal of Mathematics Learning (MJML)
Andriani, A
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Education Mathematics Social Sciences

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Journal : JURNAL ILMIAH MATEMATIKA DAN TERAPAN

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Kendali Optimal Pada Model Penyebaran Penyakit Difteri dengan Tingkat Imunitas Alami Pada Individu Terpapar Izzati, N; Andriani, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2021.v18.i1.15339

Abstract

Indonesia is one of the countries where has not been free from diphtheria outbreak. During 2017-2019, there were 2870 diphtheria cases with 96 deaths. With the mortality rate 5-20%, makes studies regarding diphtheria prevention and management strategies become important to do. In this study, a SEIQR mathematical model was constructed by considering the factor of natural immunity rate in exposed individuals. Then, by considering the complete basic immunization coverage and the proportion of the number of individuals with natural immunity rate as control variables, the optimal control problem is formulated to minimize the number of infected poopulation. Optimal control using DOTcvpSB toolbox obtained that the number of exposed population in the model decreased from 4.9% to 0.75%, and the number of infected population decreased from 3.1% to 0.32%.
Co-Authors Eviyanti, Cut Yuniza Nailul Izzati Rista, Lia Siti Hadijah