SEIOR Rumor Propagation Model Considering Hesitating Mechanism and Different Rumor-Refuting Ways in Complex Networks

Jianhong Chen, Hongcai Ma and Shan Yang ()
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Jianhong Chen: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Hongcai Ma: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Shan Yang: School of Resources and Safety Engineering, Central South University, Changsha 410083, China

Mathematics, 2023, vol. 11, issue 2, 1-22

Abstract: Considering that the state transfer rules between nodes in existing rumor propagation models are mostly based on a single propagation mechanism, and most of the models have a single way of refuting rumors, in this paper, a new SEIOR rumor propagation model (ignorant ( S ), hesitators ( E ), spreaders ( I ), rumor debunkers ( O ), immunizers ( R )) is proposed by introducing hesitators and rumor debunkers and combining different rumor-refuting ways of rumor debunkers. Firstly, the dynamics process of the propagation model is described by using the mean-field equations. Secondly, the equilibrium point and the basic regeneration number of the model are solved, and the existence and stability of the equilibrium point are discussed. Then, numerical simulations are used to analyze the effects of different factors on rumor propagation patterns. The results show that the rumor-spreading rate α 2 has the greatest effect on rumor propagation. With the increase in α 2 , the degree of influence of the hesitator-converting rate α 1 on the scale of rumor propagation first increases and then decreases. Different rumor-refuting ways have different inhibiting effects on the spread of rumors. Finally, based on the results of the theoretical proving and numerical analysis, some targeted measures to control the spread of rumors are proposed.

Keywords: rumor propagation; basic regeneration number; hesitating mechanism; different rumor-refuting ways; complex network (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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