Modeling and Analyzing the Interaction between Network Rumors and Authoritative Information

Entropy

Lingling Xia¹  Guoping Jiang²  Yurong Song² 

[1] School of Computer Science and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; E-Mail:;School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; E-Mails:

关键词: rumor spreading;    homogeneous networks;    heterogeneous networks;    authoritative information;    SIAR model;    threshold;   

DOI  :  10.3390/e17010471

来源: mdpi

【 摘 要 】

In this paper, we propose a novel two-stage rumor spreading Susceptible-Infected-Authoritative-Removed (SIAR) model for complex homogeneous and heterogeneous networks. The interaction Markov chains (IMC) mean-field equations based on the SIAR model are derived to describe the dynamic interaction between the rumors and authoritative information. We use a Monte Carlo simulation method to characterize the dynamics of the Susceptible-Infected-Removed (SIR) and SIAR models, showing that the SIAR model with consideration of authoritative information gives a more realistic description of propagation features of rumors than the SIR model. The simulation results demonstrate that the critical threshold λ_c of the SIAR model has the tiniest increase than the threshold of SIR model. The sooner the authoritative information is introduced, the less negative impact the rumors will bring. We also get the result that heterogeneous networks are more prone to the spreading of rumors. Additionally, the inhibition of rumor spreading, as one of the characteristics of the new SIAR model itself, is instructive for later studies on the rumor spreading models and the controlling strategies.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland