Dynamics of organizational rumor communication on connecting multi-small-world networks

doi:10.1088/1674-1056/20/12/120204

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120204-120204.doi: 10.1088/1674-1056/20/12/120204

Dynamics of organizational rumor communication on connecting multi-small-world networks

邢琦彬¹, 梁志宁¹, 张帆¹, 张元标²

(1)Mathematical Modeling Innovative Practice Base, Jinan University, Zhuhai Campus, Zhuhai 519070, China; (2)Mathematical Modeling Innovative Practice Base, Jinan University, Zhuhai Campus, Zhuhai 519070, China;Packaging Engineering Institute, Jinan University, Zhuhai Campus, Zhuhai 519070, China;Key Laboratory of Product Packaging and Logistics of Guangdong Hig

收稿日期:2011-03-01 修回日期:2011-07-10 出版日期:2011-12-15 发布日期:2011-12-15

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; ^cKey Laboratory of Product Packaging and Logistics of Guangdong Higher Education Institutes, Jinan University, Zhuhai Campus, Zhuhai 519070, China

Received:2011-03-01 Revised:2011-07-10 Online:2011-12-15 Published:2011-12-15

摘要/Abstract

摘要： 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.

关键词: organizational communication, small-world network, rumor propagation

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.

Key words: organizational communication, small-world network, rumor propagation

中图分类号: (Probability theory, stochastic processes, and statistics)

02.50.-r

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)

邢琦彬, 张元标, 梁志宁, 张帆. Dynamics of organizational rumor communication on connecting multi-small-world networks[J]. 中国物理B, 2011, 20(12): 120204-120204.

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[J]. Chin. Phys. B, 2011, 20(12): 120204-120204.

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Dynamics of organizational rumor communication on connecting multi-small-world networks

Dynamics of organizational rumor communication on connecting multi-small-world networks

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