The influence of oblivion-recall mechanism and loss-interest mechanism on the spread of rumors in complex networks

Wang Jing, Li Min (), Wang Ya-Qi, Zhou Zi-Chen () and Zhang Li-Qiong ()
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Wang Jing: College of Computer, Xi’an Research Institute of Hi-Tech, Xi’an 710025, China2College of Cryptographic Engineering, Engineering University of the Chinese People’s Armed Police Force, Xi’an 710086, China
Li Min: College of Computer, Xi’an Research Institute of Hi-Tech, Xi’an 710025, China
Wang Ya-Qi: Academy of People’s Armed Police, Beijing 100012, China
Zhou Zi-Chen: College of Cryptographic Engineering, Engineering University of the Chinese People’s Armed Police Force, Xi’an 710086, China
Zhang Li-Qiong: College of Computer, Xi’an Research Institute of Hi-Tech, Xi’an 710025, China

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 09, 1-21

Abstract: Studying more realistic propagation mechanisms of rumors is crucial to controlling their spreading. Considering the reality of people’s forgetting and losing interest in the process of rumor spreading, the oblivion-recall mechanism and the loss-interest mechanism are both introduced in this paper to construct a novel susceptible-infected-removed (SIR) model. In our SIR model, the forgetting is regarded as an independent state type of the population, and we use the forgetting factor α and the recall factor β to characterize the oblivion-recall mechanism. The mean-field equations are established respectively to describe the transmission dynamics of rumors in homogeneous networks and inhomogeneous networks. By performing stable state analysis, the relationship between these two parameters α, β and the propagation critical thresholds λc is investigated. It shows that λc is directly proportional to α, which indicates that the loss-interest mechanism makes λc exist, and the oblivion-recall mechanism increases the value of λc. Thus, the oblivion-recall mechanism reduces the outbreak probability of rumor spreading. It also reveals that when considering the impact of oblivion-recall mechanism, both the final rumor size and the propagation velocity of rumors decrease. Moreover, in the case of considering the existence of oblivion-recall mechanism, it is still found that the network topology is an important factor affecting the spread of rumors. We wish that our study can offer a new angle of view on the issue of the spread of rumors.

Keywords: Rumor spreading; oblivion-recall mechanism; critical threshold; loss-interest mechanism; complex network (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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DOI: 10.1142/S012918311950075X

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