A SICR Rumor Propagation Model with Time Delay and Enforced Silence
[1]LU Youjun,WU Sen,WEI Jiayin,et al.A SICR Rumor Propagation Model with Time Delay and Enforced Silence[J].Journal of Zhengzhou University (Engineering Science),2024,45(06):83-91.[doi:10.13705/j.issn.1671-6833.2024.06.021]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
45
Number of periods:
2024 06
Page number:
83-91
Column:
Public date:
2024-09-25
- Title:
- A SICR Rumor Propagation Model with Time Delay and Enforced Silence
- CLC:
- TP393
- DOI:
- 10.13705/j.issn.1671-6833.2024.06.021
- Abstract:
- Considering the factors such as time delay in the propagation of rumors and the inability to spread rumorsdue to the forced silence of network regulators, in this study, based on the SIR model, combined with the rumorrefuging mechanism and the space theory, nodes in the network were divided into susceptible node S, infectivenode I, rumor-refuging node C and recovered node R, a new SICR rumor propagation model was proposed. Firstly,the dynamic equation of rumor propagation in homogeneous network structure was given by means of average fieldtheory, the existence of equilibrium point was analyzed, and the basic reproduction number of the model was calculated by using the next generation matrix method. It was found that the basic reproduction number was related to thepropagation rate, average degree, migration rate, migration rate, forced silence rate, and recovery rate of infectivenodes. Secondly, the local asymptotic stability of the equilibrium point was analyzed by Routh-Hurwitz criterion,and the global asymptotic stability was analyzed by LaSalle′s invariance principle. Finally, the correctness of thetheoretical results was verified by numerical simulation experiments. The simulation results showed that SICR modelconsidering the rumor-refuting mechanism could suppress the rumor propagation better than SIR model. Based onDataset_R6 dataset, the parameters of the model were fitted by least square method, and the R2of the model was0. 950 8.
- References:
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Last Update:
2024-09-29