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Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 58

A new discrete-time epidemic model describing information spread and its impact on the agree-disagree model

Soukaina Hilal, Issam Khaloufi, Hamza Boutayeb, Rachid Bouajaji, Hassan Laarabi

Abstract

In this study, we propose a new modified discrete-time epidemic model that characterizes the diffusion of information and its impact on the agreement/disagreement model. So the goal is to increase the amount of information to influence people’s opinions. To do this, we proposed a control strategy based on the increase in the number of posts that influence people to agree with the subject studied (election, vaccine against COVID 19). The Pontryagin maximum principle is used to describe optimal control. Finally, numerical simulations are performed to verify the theoretical analysis using MATLAB.

Published
29 May 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Soukaina Hilal, Issam Khaloufi, Hamza Boutayeb, Rachid Bouajaji, Hassan Laarabi. 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

S. Hilal, I. Khaloufi, H. Boutayeb, R. Bouajaji, H. Laarabi, A new discrete-time epidemic model describing information spread and its impact on the agree-disagree model, Commun. Math. Biol. Neurosci. 2023 (2023), 58. https://doi.org/10.28919/cmbn/7973

BibTeX
@article{Hilal2023,
  author  = {Hilal, Soukaina and Khaloufi, Issam and Boutayeb, Hamza and Bouajaji, Rachid and Laarabi, Hassan},
  title   = {A new discrete-time epidemic model describing information spread and its impact on the agree-disagree model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {58},
  doi     = {10.28919/cmbn/7973}
}