Abstract
In this paper, we propose a modified susceptible-infected-removed (SIR) model with introduction of rumor’s attraction and establish corresponding mean-field equations to characterize the dynamics of SIR model on heterogeneous social networks. Then a steady-state analysis is conducted to investigate how the rumor’s attraction influences the threshold behavior and the final rumor size. Theoretical analysis and simulation results demonstrate that the rumor spreading threshold is related to the topological characteristics of underlying network and the infectivity of individual but is independent of the attraction of the rumor itself. In addition, whether a rumor spreads or not is determined by the relationship between the effective spreading rate and the spreading threshold. We also find that when a rumor’s attraction is very high, the effective spreading rate can easily reach the critical rumor spreading threshold, which leads to rumor spreading far and wide.
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Acknowledgments
This research has been supported by the National Natural Science Foundation of China (Grant No. 61802155 and 61672298), the National Social Science Foundation of China (Grant No. 13BTQ046), the High-level Introduction of Talent Scientific Research Start-up Fund of Jiangsu Police Institute (Grant No. JSPI17GKZL403), the Scientific Research Program of Jiangsu Police Institute (Grant No. 2017SJYZQ01) and the Research Foundation for Humanities and Social Sciences of Ministry of Education of China (Grant No. 15YJAZH016).
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Xia, LL., Song, B., Zhang, L. (2018). Rumor Spreading Model Considering Rumor’s Attraction in Heterogeneous Social Networks. In: Sun, X., Pan, Z., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2018. Lecture Notes in Computer Science(), vol 11067. Springer, Cham. https://doi.org/10.1007/978-3-030-00018-9_65
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DOI: https://doi.org/10.1007/978-3-030-00018-9_65
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