In response to the phenomenon that people who know the truth of rumors will refute their rumors during the spread of rumors,combined with the uniform structural characteristics of the network,the population is divided into unknown person I,disseminator S,refuter C,and immune person R.A new SICR rumor propagation model with refutation mechanism is proposed.Firstly,the propagation dynamics equation of SICR rumor in a uniform network structure was given using mean field theory.Secondly,the existence of equilib-rium points in the model was analyzed using differential equation theory,and the basic reproduction number of the model was calculated using the next-generation matrix method.The local asymptotic stability of the model at the equilibrium point was analyzed using the Routh Hurwitz criterion.The global asymptotic stability of the model at the rumor free equilibrium point was proved using Lyapunov stability theory.Finally,the correctness of the theoretical results was verified through simulation experiments.Simulation experiments have shown that reducing the spread rate,increasing the debunking rate,and immunity rate can effectively suppress the spread of rumors,and the mechanism of refuting rumors has an important impact on the spread of rumors.
关键词
谣言传播/辟谣机制/平衡点/稳定性
Key words
rumor spreading/the mechanism of refuting rumors/equilibrium point/stability
维普
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