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Analyzing the dynamics of a stochastic rumor propagation model incorporating media coverage
Author(s) -
Huo Liang'an,
Dong Yafang
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6436
Subject(s) - rumor , scale (ratio) , tree traversal , epidemic model , computer science , mathematics , statistical physics , econometrics , mathematical optimization , algorithm , physics , public relations , quantum mechanics , political science , population , demography , sociology
In the age of information globalization, research on the mechanism of propagation will help mitigate the bad influence of rumors. Based on the classical rumor propagation model, this paper further analyzes the internal mechanism of the stochastic rumor propagation model incorporating media coverage with white noise. We investigate the existence of a unique global positive solution to the model and study the dynamic properties of the solutions around the rumor‐free and local equilibrium points of the deterministic model. Furthermore, we establish sufficient conditions for the existence of traversal static distribution in the model. Numerical simulation shows that the role of media coverage is crucial to reduce the rumor propagation scale. The larger the coverage rate is, the smaller the rumor propagation scale is.