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Chin. Phys. B, 2011, Vol. 20(12): 120204    DOI: 10.1088/1674-1056/20/12/120204
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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, ChinaKey Laboratory of Product Packaging and Logistics of Guangdong Higher Education Institutes, Jinan University, Zhuhai Campus, Zhuhai 519070, China
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.
Keywords:  organizational communication      small-world network      rumor propagation  
Received:  01 March 2011      Revised:  10 July 2011      Accepted manuscript online: 
PACS:  02.50.-r (Probability theory, stochastic processes, and statistics)  
  87.23.Ge (Dynamics of social systems)  
  89.75.Hc (Networks and genealogical trees)  
  05.10.-a (Computational methods in statistical physics and nonlinear dynamics)  

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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