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All Journal Desimal: Jurnal Matematika M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi MATHunesa: Jurnal Ilmiah Matematika Integra: Journal of Integrated Mathematics and Computer Science
Siti Laelatul Chasanah, Siti Laelatul
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Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Education Health Professions Mathematics Social Sciences

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Journal : M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika

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Optimal Control Analysis of the Ebola Transmission Model with Vaccination Chasanah, Siti Laelatul; Nurvazly, Dina Eka; Aulia, Nufus
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 4 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i4.926

Abstract

Ebola virus disease (EVD) is a deadly disease caused by viruses within the genus Ebolavirus. Over 34,710 people have died from the virus globally, and outbreaks have shown that it spreads rapidly and uncontrollably. This research aims to find the optimal control to prevent the spread of EVD through vaccines. The population is divided into six, namely susceptible (), vaccinated (), infectious (), treated (), recovered (), and deceased (). We construct the model's optimal control parameters using the Pontryagin Principle. Vaccinations are only administered during specific periods. The optimal control interpretation was then obtained using numerical simulations. The results of this study indicate that the natural birth rate and the rate of contact of deceased humans have a much greater impact on the faster spread of the disease. Furthermore, it would be more effective to reduce the spread of EVD by providing vaccination compared to treating infected individuals. In conclusion, vaccination will be more effective if administered every two weeks. This is because it will lower the number of infected individuals significantly and reduce the cost of vaccination.
Co-Authors Ahmad Faisol Assiva, Adelia Aulia, Nufus Darina, Novi Dina Eka Nurvazly, Dina Eka Eri Setiawan Fitriani Handayani, Vitri Aprilla Hasanah, Arvi Ikhlas Pratama Sandy Muslim Ansori Mustika, Mira Mustofa Usman Notiragayu Nurfabella, Rehsya Nurvazly, D E Oktavia, Niken Sabella Pandri Ferdias, Pandri Paskalia, Felicia Andrade Puspita, Resta Meyliana Putri, Dwi Rizka Amelia Sawitri, Riza Sihombing, Riska Romauli Sitompul, Desi Elena Wamiliana Wamiliana Widarti, Widiarti Widiarti Yoka, Ranara Athalla