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Dynamics of organizational rumor communication on connecting multi-small-world networks
Authors:Xing Qi-Bin  Zhang Yuan-Biao  Liang Zhi-Ning  Zhang Fan
Affiliation:Mathematical Modeling Innovative Practice Base, Jinan University, Zhuhai Campus, Zhuhai 519070, China;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;Mathematical Modeling Innovative Practice Base, Jinan University, Zhuhai Campus, Zhuhai 519070, China;Mathematical Modeling Innovative Practice Base, 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
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