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

Linhe Zhu, Mengxue Liu and Yimin Li

Physica A: Statistical Mechanics and its Applications, 2019, vol. 520, issue C, 118-137

Abstract: 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.

Keywords: Online social networks; Rumor spreading; Stability; Optimal control; Delay; Hopf bifurcation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:520:y:2019:i:c:p:118-137

DOI: 10.1016/j.physa.2019.01.013

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