Analyzing the dynamics of a stochastic rumor propagation model incorporating media coverage

Abstract

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. K E Y W O R D Sergodic process, media coverage, rumor propagation, stochastic process

Dynamical behavior of a stochastic SICR rumor model incorporating media coverage

“…Therefore, it is of great significance to explore how environmental noise influences the rumor propagation model. Referencing the idea of Jia et al [31] and Huo et al [32], we assume that the white noise is stochastic perturbations as the primary reason for the system variable. Based on the aforementioned discussion, we add white noise to obtain a stochastic analog of the deterministic model (1) with periodic coefficients as follows:…”

Deterministic and stochastic evolution of rumor propagation model with media coverage and class‐age‐dependent education

“…21 Huo et al found that media coverage was a key to reduce the scale of rumors. 22 Additionally, media coverage is usually authoritative and has a good social impact, so most individuals are willing to accept the media education. Therefore, media coverage has a certain educational significance for individuals.…”

“…Zhu et al pointed out that media coverage could control spreading of rumor by exposing the truth 21 . Huo et al found that media coverage was a key to reduce the scale of rumors 22 . Additionally, media coverage is usually authoritative and has a good social impact, so most individuals are willing to accept the media education.…”

Dynamical analysis of a stochastic rumor-spreading model with Holling II functional response function and time delay

“…Jia et al considered a rumor-spreading model with stochastic noise [19]. In general, existing studies mostly investigate the dynamics of rumor spreading from a certain respect [20][21][22].…”

“…Thus, with the changes in the environment, the spreading of rumor may vary accordingly. To investigate the dynamical properties of rumor spreading more precisely, it is essential to take stochastic disturbance into account [19,22].…”