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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2020 (2020)

Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 82

Optimal control for a discrete model of hepatitis C with latent, acute and chronic stages in the presence of treatment

Lahcen El Youssoufi, Hajar Moutamanni, Abderrahim Labzai, Omar Balatif, Mostafa Rachik

PDF (624.6 KB) https://doi.org/10.28919/cmbn/4996

Abstract

In this article, we consider a discrete mathematical model of viral hepatitis C (HCV). The population we will study is divided into six compartments: the unawareness susceptible, awareness susceptible, exposed individuals, individuals with acute infection, individuals with chronic infection and the individuals undergoing treatement. Our objective is to find the best strategy to reduce the number of the unawareness susceptible, individuals with chronic infection and exposed individuals through three controls, respectively, education and awareness, access to early detection and treatment. We study the impact of each control mechanism individually and the impact of combinations of these strategies in the control of HCV. A discret version of Pontryagin’s maximum principle was used to characterize the optimal controls obtained. Numerical simulation of the results, using MATLAB software, showed the effectiveness of the proposed controls, and the results confirm the performance of the proposed optimization strategies.

Published
17 November 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Lahcen El Youssoufi, Hajar Moutamanni, Abderrahim Labzai, Omar Balatif, Mostafa Rachik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

L. El Youssoufi, H. Moutamanni, A. Labzai, O. Balatif, M. Rachik, Optimal control for a discrete model of hepatitis C with latent, acute and chronic stages in the presence of treatment, Commun. Math. Biol. Neurosci. 2020 (2020), 82. https://doi.org/10.28919/cmbn/4996

BibTeX
@article{Youssoufi2020,
  author  = {El Youssoufi, Lahcen and Moutamanni, Hajar and Labzai, Abderrahim and Balatif, Omar and Rachik, Mostafa},
  title   = {Optimal control for a discrete model of hepatitis C with latent, acute and chronic stages in the presence of treatment},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {82},
  doi     = {10.28919/cmbn/4996}
}