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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 86

Control of information dissemination in online environments: optimal feedback control

Zineb Rachik, Hamza Boutayeb, Sara Bidah, Omar Zakary, Mostafa Rachik

PDF (271.2 KB) https://doi.org/10.28919/cmbn/5041

Abstract

In this article, we consider a discrete-time model describing the dissemination of information between members of any kind of online structure, it can be shared word-to-mouth via video calls and/ or chat or shares in online environments such as Facebook, WhatsApp and Twitter. The impact of information sharing is becoming more and more noticeable in the world, its potential has become clearer through controlling people’s behavior and influencing their opinions. Thus, depending on the speed of the latter’s spread and its impact, the reaction and measures taken by the state or authorities concerned varies.

In this direction, we chose to use a feedback control function depending on the number of convinced people who share the information at any time. Therefore, the reaction of the control depends on the relevance of this information. We provide sufficient conditions of the existence of such control. And based on a discrete version of Pontryagin’s Maximum Principle we characterize the optimal control. Numerical simulations are carried out to study this scenario before and after the use of our control strategy, accompanied by discussions of results.
Published
20 November 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Zineb Rachik, Hamza Boutayeb, Sara Bidah, Omar Zakary, 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

Z. Rachik, H. Boutayeb, S. Bidah, O. Zakary, M. Rachik, Control of information dissemination in online environments: optimal feedback control, Commun. Math. Biol. Neurosci. 2020 (2020), 86. https://doi.org/10.28919/cmbn/5041

BibTeX
@article{Rachik2020,
  author  = {Rachik, Zineb and Boutayeb, Hamza and Bidah, Sara and Zakary, Omar and Rachik, Mostafa},
  title   = {Control of information dissemination in online environments: optimal feedback control},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {86},
  doi     = {10.28919/cmbn/5041}
}