Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach

We propose to model the phenomenon of the spread of a rumor in social networks in this paper. From an existing SIR model, we manipulate a new one that is based on the model of cholera in order to take into account professional pages that specialize in spreading rumors. In the second part, we introdu...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2020, Vol.2020 (2020), p.1-12
Main Authors: Rachik, Mostafa, El Alami laaroussi, Adil, El Bhih, Amine, Ghazzali, Rachid
Format: Article
Language:English
Subjects:
Cholera
Communication
Computer simulation
Disease transmission
Epidemics
Gossip
Hypotheses
Mathematical models
Maximum principle
Online social networks
Optimal control
Propaganda
Propagation
Researchers
Social networks
Time series
Trump, Donald
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Summary:We propose to model the phenomenon of the spread of a rumor in social networks in this paper. From an existing SIR model, we manipulate a new one that is based on the model of cholera in order to take into account professional pages that specialize in spreading rumors. In the second part, we introduce a control strategy to fight against the diffusion of the rumor. Our main objective is to characterize the three optimal controls that minimize the number of spreader users, fake pages, and the corresponding costs. For that matter, using the maximum principle of Pontryagin, we prove the existence and we give characterization of our controls. Numerical simulations are given to concretize our approach.
ISSN:1026-0226
1607-887X
DOI:10.1155/2020/6724815