Dynamics and Control of a Social Rumor Spreading Model with Fact-Checking Strategies
Keywords:
Media fatigue, Global stability, Rumor propagation, Next-generation matrix, Saturated fact-checking, Holling type-II response.Abstract
Mathematical models play a central role in designing control strategies and in explaining how information spreads through social networks. This study examines how rumors spread when strategic fact-checking is included in the model. In this study, a saturated response function is used to represent the limits society faces when responding to misinformation. This study examines an epidemic-style rumor model in detail, with explicit attention to limits on media resources. This study examines whether solutions remain bounded, identifies equilibrium points, computes the rumor reproductive number (R0), and evaluates local and global stability. The numerical simulations support the theoretical findings and show that when clarification efforts reach a saturation point, rumors are more likely to persist in the population.
Mathematics Subject Classification 2020 Codes: 92D30, 34D20, 34D23, 91D30, 37N25.
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