A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network
Joint Authors
Rachik, Mostafa
El Alami laaroussi, Adil
Ghazzali, Rachid
El Bhih, Amine
Ben Rhila, Soukaina
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
2020-05-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, a new rumor spreading model in social networks has been investigated.
We propose a new version primarily based on the cholera model in order to take into account the expert pages specialized in the dissemination of rumors from an existing IRCSS model.
In the second part, we recommend an optimal control strategy to fight against the spread of the rumor, and the study aims at characterizing the three optimal controls which minimize the number of spreader users, fake pages, and corresponding costs; theoretically, we have proved the existence of optimal controls, and we have given a characterization of controls in terms of states and adjoint functions based on a discrete version of Pontryagin’s maximum principle.
To illustrate the theoretical results obtained, we propose numerical simulations for several scenarios applying the forward-backward sweep method (FBSM) to solve our optimality system in an iterative process.
American Psychological Association (APA)
El Bhih, Amine& Ghazzali, Rachid& Ben Rhila, Soukaina& Rachik, Mostafa& El Alami laaroussi, Adil. 2020. A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153049
Modern Language Association (MLA)
El Bhih, Amine…[et al.]. A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1153049
American Medical Association (AMA)
El Bhih, Amine& Ghazzali, Rachid& Ben Rhila, Soukaina& Rachik, Mostafa& El Alami laaroussi, Adil. A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153049
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153049