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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 29

SIS multi-regions discrete Influenza pandemic model and travel-blocking vicinity optimal control strategy on two forms of patch

Boutayeb Hamza, Bidah Sara, Zakary Omar, Elmouki Ilias, Ferjouchia Hanane, Rachik Mostafa

PDF (821.2 KB) https://doi.org/10.28919/cmbn/4550

Abstract

In this paper, we study the multi-region sis discrete-time model which describesthe spread of an influenza pandemic in interconnected regions via infection mobility.Our objective from this model, is to suggest in a first case of simulations,the so-called travel-blocking vicinity optimal control strategy aiming to protectsusceptible people of a complex of regions tightly close one to each other,while in a second case, we discuss the importance of such strategies when theregions aiming to control are very dispersed. In the theoretical part of the paper,we utilize a discrete version of the pontryagin’s maximum principle for thecharacterization of the travel-blocking optimal control. As for the numericalpart, we program the resolution of our multi-points boundary value problem usingdiscrete progressive-regressive iterative schemes, in an example of a domaincomposed with 100 regions and where the targeted patch includes 4 regions, inthe first time grouped and in a second time, dispersed.

Published
10 June 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Boutayeb Hamza, Bidah Sara, Zakary Omar, Elmouki Ilias, Ferjouchia Hanane, Rachik Mostafa. 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

B. Hamza, B. Sara, Z. Omar, E. Ilias, F. Hanane, R. Mostafa, SIS multi-regions discrete Influenza pandemic model and travel-blocking vicinity optimal control strategy on two forms of patch, Commun. Math. Biol. Neurosci. 2020 (2020), 29. https://doi.org/10.28919/cmbn/4550

BibTeX
@article{Hamza2020,
  author  = {Hamza, Boutayeb and Sara, Bidah and Omar, Zakary and Ilias, Elmouki and Hanane, Ferjouchia and Mostafa, Rachik},
  title   = {SIS multi-regions discrete Influenza pandemic model and travel-blocking vicinity optimal control strategy on two forms of patch},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {29},
  doi     = {10.28919/cmbn/4550}
}