Abstract
We proposed a belief model on random networks to explore the process of opinion dissemination, focusing on 3 significant factors: the inherent beliefs of individuals, the heterogeneity of individual persuasion ability and the dilution effect of neighbor size on neighbors’ persuasion. By mean-field approximation approach, the theoretical final fraction of active agents is determined, which agrees well with simulation results in most situations but diverges around critical condition. This divergence is demonstrated to be caused by the heterogeneity of properties of the initial active node and inevitable for any mean solution. As an alternative to predict and control the contagion, we proposed two strategies for selecting the initial active node based on its properties. Their efficiencies are discussed on different networks by simulations.
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