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Dynamics of organizational rumor communication on connecting multi-small-world networks |
Xing Qi-Bin(邢琦彬)a), Zhang Yuan-Biao(张元标) a)b)c)†, Liang Zhi-Ning(梁志宁)a), and Zhang Fan(张帆)a) |
a Mathematical Modeling Innovative Practice Base, Jinan University, Zhuhai Campus, Zhuhai 519070, China; b Packaging Engineering Institute, Jinan University, Zhuhai Campus, Zhuhai 519070, China; c Key Laboratory of Product Packaging and Logistics of Guangdong Higher Education Institutes, Jinan University, Zhuhai Campus, Zhuhai 519070, China
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Abstract We study the dynamics of an epidemic-like model for the spread of a rumor on a connecting multi-small-world-network (CM-SWN) model, which represents organizational communication in the real world. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of network randomness. Here, by numerical means, we perform a quantitative characterization of the evolution in the three groups under two evolution rules, namely the conformity and obeying principles. The variant of a dynamic CM-SWN, where the quenched disorder of small-world networks is replaced by randomly changing connections between individuals in a single network and stable connection by star nodes between networks, is also analysed in detail and compared with a mean-field approximation.
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Received: 01 March 2011
Revised: 10 July 2011
Accepted manuscript online:
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PACS:
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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87.23.Ge
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(Dynamics of social systems)
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89.75.Hc
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(Networks and genealogical trees)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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Cite this article:
Xing Qi-Bin(邢琦彬), Zhang Yuan-Biao(张元标), Liang Zhi-Ning(梁志宁), and Zhang Fan(张帆) Dynamics of organizational rumor communication on connecting multi-small-world networks 2011 Chin. Phys. B 20 120204
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