A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network
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...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/4386476 |
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| _version_ | 1832560685455769600 |
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| author | Amine El Bhih Rachid Ghazzali Soukaina Ben Rhila Mostafa Rachik Adil El Alami Laaroussi |
| author_facet | Amine El Bhih Rachid Ghazzali Soukaina Ben Rhila Mostafa Rachik Adil El Alami Laaroussi |
| author_sort | Amine El Bhih |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a18a1aa2acab445994e44080110b9497 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a18a1aa2acab445994e44080110b94972025-02-03T01:27:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/43864764386476A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social NetworkAmine El Bhih0Rachid Ghazzali1Soukaina Ben Rhila2Mostafa Rachik3Adil El Alami Laaroussi4Laboratory 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, 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, MoroccoIn 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.http://dx.doi.org/10.1155/2020/4386476 |
| spellingShingle | Amine El Bhih Rachid Ghazzali Soukaina Ben Rhila Mostafa Rachik Adil El Alami Laaroussi A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network Discrete Dynamics in Nature and Society |
| title | A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network |
| title_full | A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network |
| title_fullStr | A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network |
| title_full_unstemmed | A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network |
| title_short | A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network |
| title_sort | discrete mathematical modeling and optimal control of the rumor propagation in online social network |
| url | http://dx.doi.org/10.1155/2020/4386476 |
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