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Commun. Math. Biol. Neurosci. 2021 (2021), Article ID 45

A spatiotemporal model with optimal control for the novel coronavirus epidemic in Wuhan, China

Ahmed Kourrad, Amine Alabkari, Khalid Adnaoui, Omar Zakary, Youssef Tabit, Adil El Alami Laaroussi, Fouad Lahmidi

Abstract

We propose a spatiotemporal model with optimal control to investigate the current of the coronavirus epidemic in Wuhan. Our model formulated as a system of parabolic partial differential equations. Immunity is forced through vaccine distribution considered a control variable. Our objective is to prove the existence of solutions to the state system and also the existence of optimal control.

Published
12 May 2021
Volume
2021 (2021)
License
CC BY 3.0

Copyright © 2021 Ahmed Kourrad, Amine Alabkari, Khalid Adnaoui, Omar Zakary, Youssef Tabit, Adil El Alami Laaroussi, Fouad Lahmidi. 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

A. Kourrad, A. Alabkari, K. Adnaoui, O. Zakary, Y. Tabit, A. El Alami Laaroussi, F. Lahmidi, A spatiotemporal model with optimal control for the novel coronavirus epidemic in Wuhan, China, Commun. Math. Biol. Neurosci. 2021 (2021), 45. https://doi.org/10.28919/cmbn/5755

BibTeX
@article{Kourrad2021,
  author  = {Kourrad, Ahmed and Alabkari, Amine and Adnaoui, Khalid and Zakary, Omar and Tabit, Youssef and El Alami Laaroussi, Adil and Lahmidi, Fouad},
  title   = {A spatiotemporal model with optimal control for the novel coronavirus epidemic in Wuhan, China},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2021},
  year    = {2021},
  pages   = {45},
  doi     = {10.28919/cmbn/5755}
}