A novel approach in controlling the spread of a rumor within a crowd
The spread of rumors within a crowd can lead to harmful consequences, ranging from misinformation and social disturbances to public panic and injuries or fatalities. In this work, we propose a novel approach to an effective strategy for reducing the number of individuals affected by a rumor within a...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720725000207 |
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| author | Imane Dehaj Abdessamad Dehaj Abdessamad Tridane M.A. Aziz-Alaoui Mostafa Rachik |
| author_facet | Imane Dehaj Abdessamad Dehaj Abdessamad Tridane M.A. Aziz-Alaoui Mostafa Rachik |
| author_sort | Imane Dehaj |
| collection | DOAJ |
| description | The spread of rumors within a crowd can lead to harmful consequences, ranging from misinformation and social disturbances to public panic and injuries or fatalities. In this work, we propose a novel approach to an effective strategy for reducing the number of individuals affected by a rumor within a crowd. This strategy relies on developing control functions operating between zero and one, ensuring that the number of individuals affected by the rumor remains below a predetermined threshold at any given time. We analyze this strategy within the frameworks of continuous-time and discrete-time SIR models, which divide the population into Susceptible (S), Infectious (I), and Recovered (R) individuals, considering both practical constraints and theoretical limitations. Our results demonstrate that the proposed control functions ensure a gradual decrease in the number of affected and susceptible individuals over time, effectively limiting the spread of rumors and preventing uncontrollable situations. Numerical simulations illustrate the efficiency of this approach, highlighting its ability to achieve specific objectives in real-world scenarios. |
| format | Article |
| id | doaj-art-68f08c2b6999426c9ba8428e31f5a672 |
| institution | Kabale University |
| issn | 2666-7207 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj-art-68f08c2b6999426c9ba8428e31f5a6722025-02-06T05:12:54ZengElsevierResults in Control and Optimization2666-72072025-03-0118100534A novel approach in controlling the spread of a rumor within a crowdImane Dehaj0Abdessamad Dehaj1Abdessamad Tridane2M.A. Aziz-Alaoui3Mostafa Rachik4Laboratory of Analysis, Modeling and Simulation, Ben M’sick Faculty of Science, Hassan II University, Casablanca, MoroccoLaboratory of Systems Modelization and Analysis for Decision Support, National School of Applied Sciences, Berrechid, MoroccoDepartment of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates; Corresponding author.UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, Normandie University, Le Havre, FranceLaboratory of Analysis, Modeling and Simulation, Ben M’sick Faculty of Science, Hassan II University, Casablanca, MoroccoThe spread of rumors within a crowd can lead to harmful consequences, ranging from misinformation and social disturbances to public panic and injuries or fatalities. In this work, we propose a novel approach to an effective strategy for reducing the number of individuals affected by a rumor within a crowd. This strategy relies on developing control functions operating between zero and one, ensuring that the number of individuals affected by the rumor remains below a predetermined threshold at any given time. We analyze this strategy within the frameworks of continuous-time and discrete-time SIR models, which divide the population into Susceptible (S), Infectious (I), and Recovered (R) individuals, considering both practical constraints and theoretical limitations. Our results demonstrate that the proposed control functions ensure a gradual decrease in the number of affected and susceptible individuals over time, effectively limiting the spread of rumors and preventing uncontrollable situations. Numerical simulations illustrate the efficiency of this approach, highlighting its ability to achieve specific objectives in real-world scenarios.http://www.sciencedirect.com/science/article/pii/S2666720725000207Control theoryRumor spreadSIR modelCrowd |
| spellingShingle | Imane Dehaj Abdessamad Dehaj Abdessamad Tridane M.A. Aziz-Alaoui Mostafa Rachik A novel approach in controlling the spread of a rumor within a crowd Results in Control and Optimization Control theory Rumor spread SIR model Crowd |
| title | A novel approach in controlling the spread of a rumor within a crowd |
| title_full | A novel approach in controlling the spread of a rumor within a crowd |
| title_fullStr | A novel approach in controlling the spread of a rumor within a crowd |
| title_full_unstemmed | A novel approach in controlling the spread of a rumor within a crowd |
| title_short | A novel approach in controlling the spread of a rumor within a crowd |
| title_sort | novel approach in controlling the spread of a rumor within a crowd |
| topic | Control theory Rumor spread SIR model Crowd |
| url | http://www.sciencedirect.com/science/article/pii/S2666720725000207 |
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