Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 392, Issue 17, Pages 3846-3855Publisher
ELSEVIER
DOI: 10.1016/j.physa.2013.04.018
Keywords
Opinions interaction; Social networks; Complex networks
Categories
Funding
- Major Program of National Natural Science Foundation of China [11290141]
- NSFC [11201018]
- international cooperation project [2010DFR00700]
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The study of opinion dynamics, such as spreading and controlling of rumors, has become an important issue on social networks. Numerous models have been devised to describe this process, including epidemic models and spin models, which mainly focus on how opinions spread and interact with each other, respectively. In this paper, we propose a model that combines the spreading stage and the interaction stage for opinions to illustrate the process of dispelling a rumor. Moreover, we set up authoritative nodes, which disseminate positive opinion to counterbalance the negative opinion prevailing on online social networking sites. With analysis of the relationship among positive opinion proportion, opinion strength and the density of authoritative nodes in networks with different topologies, we demonstrate that the positive opinion proportion grows with the density of authoritative nodes until the positive opinion prevails in the entire network. In particular, the relationship is linear in homogeneous topologies. Besides, it is also noteworthy that initial locations of the negative opinion source and authoritative nodes do not influence positive opinion proportion in homogeneous networks but have a significant impact on heterogeneous networks. The results are verified by numerical simulations and are helpful to understand the mechanism of two different opinions interacting with each other on online social networking sites. (C) 2013 Elsevier B.V. All rights reserved.
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