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

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...

Full description

Bibliographic Details
Main Authors: Rachid Ghazzali, Amine El Bhih, Adil El Alami Laaroussi, Mostafa Rachik
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/6724815
id doaj-44a70b0a4c0d4016ac626a4ef6f7640f
record_format Article
spelling doaj-44a70b0a4c0d4016ac626a4ef6f7640f2020-11-25T03:44:47ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/67248156724815Modeling a Rumor Propagation in Online Social Network: An Optimal Control ApproachRachid Ghazzali0Amine El Bhih1Adil El Alami Laaroussi2Mostafa Rachik3Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, MoroccoWe 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.http://dx.doi.org/10.1155/2020/6724815
collection DOAJ
language English
format Article
sources DOAJ
author Rachid Ghazzali
Amine El Bhih
Adil El Alami Laaroussi
Mostafa Rachik
spellingShingle Rachid Ghazzali
Amine El Bhih
Adil El Alami Laaroussi
Mostafa Rachik
Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach
Discrete Dynamics in Nature and Society
author_facet Rachid Ghazzali
Amine El Bhih
Adil El Alami Laaroussi
Mostafa Rachik
author_sort Rachid Ghazzali
title Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach
title_short Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach
title_full Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach
title_fullStr Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach
title_full_unstemmed Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach
title_sort modeling a rumor propagation in online social network: an optimal control approach
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/6724815
work_keys_str_mv AT rachidghazzali modelingarumorpropagationinonlinesocialnetworkanoptimalcontrolapproach
AT amineelbhih modelingarumorpropagationinonlinesocialnetworkanoptimalcontrolapproach
AT adilelalamilaaroussi modelingarumorpropagationinonlinesocialnetworkanoptimalcontrolapproach
AT mostafarachik modelingarumorpropagationinonlinesocialnetworkanoptimalcontrolapproach
_version_ 1715127150294597632

Similar Items