The dynamics analysis of a rumor propagation model in online social networks

With rapid emergence of online social networks, the rumor transition has a growing significant impact on social stability and human lives. This paper investigates the local stability and optimal control of a rumor propagation model in online social network with changing number of total users, which...

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Bibliographic Details
Published in:Physica A 2019-04, Vol.520, p.118-137
Main Authors: Zhu, Linhe, Liu, Mengxue, Li, Yimin
Format: Article
Language:English
Subjects:
Delay
Hopf bifurcation
Online social networks
Optimal control
Rumor spreading
Stability
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Summary:With rapid emergence of online social networks, the rumor transition has a growing significant impact on social stability and human lives. This paper investigates the local stability and optimal control of a rumor propagation model in online social network with changing number of total users, which is proposed in Ref. Dong et al. (2018). In addition, we set up a model with a delay based on the reality, and analyze the sufficient conditions for Hopf bifurcation. Finally, the rumor spreading model is simulated numerically. The results of simulation are shown the process of rumor propagation and prove the correctness of the theoretical analysis. •This paper presents an important improvement in theory and numerical analysis for Ref. Dong et al. (2018).•Bifurcation and stability switches are proved in a strict mathematical way.•Optimal control strategy of rumor propagation is investigated and compared in this paper.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2019.01.013