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Article

A Rumor Propagation Model Considering Media Effect and Suspicion Mechanism under Public Emergencies

School of Resource and Safety Engineering, Central South University, Changsha 410083, China
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Author to whom correspondence should be addressed.
Submission received: 23 May 2024 / Revised: 12 June 2024 / Accepted: 17 June 2024 / Published: 19 June 2024

Abstract

In this paper, we collect the basic information data of online rumors and highly topical public opinions. In the research of the propagation model of online public opinion rumors, we use the improved SCIR model to analyze the characteristics of online rumor propagation under the suspicion mechanism at different propagation stages, based on considering the flow of rumor propagation. We analyze the stability of the evolution of rumor propagation by using the time-delay differential equation under the punishment mechanism. In this paper, the evolution of heterogeneous views with different acceptance and exchange thresholds is studied, using the standard Deffuant model and the improved model under the influence of the media, to analyze the evolution process and characteristics of rumor opinions. Based on the above results, it is found that improving the recovery rate is better than reducing the deception rate, and increasing the eviction rate is better than improving the detection rate. When the time lag τ < 110, it indicates that the spread of rumors tends to be asymptotic and stable, and the punishment mechanism can reduce the propagation time and the maximum proportion of deceived people. The proportion of deceived people increases with the decrease in the exchange threshold, and the range of opinion clusters increases with the decline in acceptance.
Keywords: rumor propagation; suspicion mechanisms; basic reproduction; penalty delay model; Deffuant model rumor propagation; suspicion mechanisms; basic reproduction; penalty delay model; Deffuant model

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MDPI and ACS Style

Yang, S.; Liu, S.; Su, K.; Chen, J. A Rumor Propagation Model Considering Media Effect and Suspicion Mechanism under Public Emergencies. Mathematics 2024, 12, 1906. https://0-doi-org.brum.beds.ac.uk/10.3390/math12121906

AMA Style

Yang S, Liu S, Su K, Chen J. A Rumor Propagation Model Considering Media Effect and Suspicion Mechanism under Public Emergencies. Mathematics. 2024; 12(12):1906. https://0-doi-org.brum.beds.ac.uk/10.3390/math12121906

Chicago/Turabian Style

Yang, Shan, Shihan Liu, Kaijun Su, and Jianhong Chen. 2024. "A Rumor Propagation Model Considering Media Effect and Suspicion Mechanism under Public Emergencies" Mathematics 12, no. 12: 1906. https://0-doi-org.brum.beds.ac.uk/10.3390/math12121906

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