https://doi.org/10.1140/epjp/s13360-024-05953-y
Regular Article
Modeling and simulation of rumor propagation and optimal control strategy based on social positive reinforcement
1
School of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, China
2
Collaborative Innovation Center of Novel Software Technology and Industrialization, 210016, Nanjing, China
3
Complex Systems Research Center, 030006, Taiyuan, China
Received:
28
April
2024
Accepted:
29
December
2024
Published online:
19
January
2025
Rumor spreading not only disrupts internet order and damages economic interests, but also seriously affects social stability. The social positive reinforcement mechanism was introduced to integrate social media with a positive reinforcement effect into the process of rumor propagation, and an improved rumor propagation model was established. The model’s dynamics are analyzed using mean field theory, revealing a close relationship between the propagation threshold and social positive reinforcement. According to the Hurwitz criterion and LaSalle invariant principle, the stability of the rumor free equilibrium is proved, and the existence of rumor spread equilibrium is proved. To combat rumor spreading under social positive reinforcement, a real-time optimal control method is proposed, incorporating science popularization education for susceptible individuals, enhancing management of rumor spreading individuals, and strengthening the restriction on social media with positive reinforcement effect. Numerical simulations verify the theoretical results, the results show that social positive reinforcement is conducive to rumor propagation, and the control strategies can effectively curb the rumor propagation. Finally, the validity of the model was verified by fitting the model parameters using the least square method. Compared with similar studies, the results of the experiments show that the improved rumor propagation model has a stronger predictive ability.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
