Country not found in response Free terminal Time Optimal Control Problem of an SIR Epidemic Model with Vaccination
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 138 | Views: 363

Research Paper | Mathematics | Morocco | Volume 3 Issue 5, May 2014 | Popularity: 6.4 / 10


     

Free terminal Time Optimal Control Problem of an SIR Epidemic Model with Vaccination

M. Alkama, M. Elhia, Z. Rachik, M. Rachik, E. Labriji


Abstract: This paper presents an approach that investigates a free terminal optimal time control of an SIR (Susceptible-Infected-Removed) epidemic model. In order to reduce the infected group and increase the removed individuals; we present a control simulating vaccination program considering also the minimum duration of a vaccination campaign. The optimal control and the optimal final time are found using Pontryagin's maximum principle and the additional transversality condition for the terminal time. We solved the optimality system by an iterative method; and then we confirm the performance of the optimization strategy by numerical simulations.


Keywords: SIR epidemic models, optimal control, Pontryagins maximum principle, numerical simulations


Edition: Volume 3 Issue 5, May 2014


Pages: 227 - 230



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M. Alkama, M. Elhia, Z. Rachik, M. Rachik, E. Labriji, "Free terminal Time Optimal Control Problem of an SIR Epidemic Model with Vaccination", International Journal of Science and Research (IJSR), Volume 3 Issue 5, May 2014, pp. 227-230, https://www.ijsr.net/getabstract.php?paperid=20131713, DOI: https://www.doi.org/10.21275/20131713

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