Abstract
In the process of rumors propagation, the behavior of individuals to propagation or refutation is not only influenced by the surrounding global environment but also the local environment. In this paper, a modified rumor propagation model is proposed considering the global and local effects of the rumor refutation mechanism and the activity rate of individuals in a heterogeneous network, and the dynamics process of the rumor propagation is derived by using the mean-field equation. Combining theoretical proving and simulation analysis, it shows that the critical threshold of rumor propagation has a great relationship with individual activity rates and global and local effects of the rumor refutation mechanism. The greater the government’s efforts to refute rumors, the lower the critical threshold of rumor propagation and the smaller the final rumor size. While relatively, people are much more likely to believe the global rumor refutation information taken with official information, local rumor refutation information has little influence on rumor propagation.
Highlights
Rumors are unconfirmed statements that may cause adverse effects on our society’s stability [1,2]
Active individuals can be infected by all spreaders, but inactive individuals can only be infected by active spreaders
Through the numerical simulation of the model, it is not difficult to see that individuals are more affected by simulation of the model, it is not difficult to see that individuals are more affected by the the rumor propagation atmosphere of the whole society, but less affected by the people rumor propagation atmosphere of the whole society, but less affected by the people around them
Summary
Rumors are unconfirmed statements that may cause adverse effects on our society’s stability [1,2]. Scholars further studied the influence of the complex topology of social networks on the dynamics of rumor propagation [8]. In terms of the global impact of the spread of rumors, Zhao et al studied the SIHR rumor propagation model considering the forgetting and remembering mechanisms in a homogeneous network [26]. Zhu studied the comprehensive influence of psychological factors, propagation delay, network topology, and control strategies on the spread of rumors on online social networks [28]. Mathematics 2022, 10, 586 paper considers the global and local rumor refutation mechanism and individual activity rates, establishes the mean-field equation, deduces the rumor propagation model, calculates the threshold of rumor propagation, and conducts simulation analysis on a heterogeneous network.
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