Dynamic analysis of a rumor propagation model based on a familiarity mechanism and refuters

DOI10.1016/J.JMAA.2024.128689MaRDI QIDQ6615993

Yuhan Hu, Baoling Jie

Publication date: 8 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal controlstability analysisrumor propagation modelrefutersfamiliarity mechanism

Mathematics Subject Classification ID

Social networks; opinion dynamics (91D30) Stability of solutions to ordinary differential equations (34D20) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

• Modeling and analysis of rumor spreading with social reinforcement mechanism
• Dynamics analysis of a delayed rumor propagation model in an emergency-affected environment
• A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity
• Rumor spreading model with the different attitudes towards rumors
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• Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism
• Delay differential equations modeling of rumor propagation in both homogeneous and heterogeneous networks with a forced silence function
• Optimal control of rumor spreading model on homogeneous social network with consideration of influence delay of thinkers
• On a Daley-Kendall model of random rumours
• Distribution of the final extent of a rumour process
• Cross-issue solidarity and truth convergence in opinion dynamics
• A delayed SIR epidemic model with a general incidence rate
• Dynamical behaviors and control measures of rumor-spreading model in consideration of the infected media and time delay
• The optimal event-triggered impulsive control of a stochastic rumor spreading model incorporating time delay using the particle swarm optimization algorithm

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