M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika
Vol. 10 No. 4 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika

Optimal Control Analysis of the Ebola Transmission Model with Vaccination

Chasanah, Siti Laelatul (Unknown)
Nurvazly, Dina Eka (Unknown)
Aulia, Nufus (Unknown)



Article Info

Publish Date
29 Nov 2025

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.

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Journal Info

Abbrev

Mathline

Publisher

Subject

Education Mathematics

Description

Mathline is published by Mathematics Education Department of Wiralodra University. Mathline publishes the research issues on mathematics, mathematics education, and could be experiment, research and development, or classroom action research. This Journal are bi-annual publication, on February and ...