Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach
Joint Authors
El Alami laaroussi, Adil
Ghazzali, Rachid
El Bhih, Amine
Rachik, Mostafa
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ghazzali, Rachid& El Bhih, Amine& El Alami laaroussi, Adil& Rachik, Mostafa. 2020. Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153327
Modern Language Association (MLA)
Ghazzali, Rachid…[et al.]. Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1153327
American Medical Association (AMA)
Ghazzali, Rachid& El Bhih, Amine& El Alami laaroussi, Adil& Rachik, Mostafa. Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153327
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153327