社交网络中信息传播的稳定性研究

Stability of information spreading over social network

社交网络已成为当前最重要的信息传播媒体之一,因此有必要研究信息在社交网络上的传播规律.本文探索了包含遏制机制和遗忘机制的信息传播机理,提出了信息传播的模型,给出了信息传播的规则,建立了相应的平均场方程,计算了平衡点和基本再生数R_0,并从理论上证明了平衡点的渐进稳定性.仿真实验分析了遏制机制、遗忘机制等因素对信息传播过程的影响,并验证了所得结论的正确性.

Social networks have been developed into one of the most important media for information propagation, and it is necessary to disclose how the information disseminates over social networks. In this paper, we explore the spreading mechanism including information stifling and forgetting, establish a spreading model, and elaborate the spreading rules. According to the spreading model, we build the mean field equation, calculate the two equilibriums and the basic reproduction number R0, and prove theoretically the asymptotical stability of the equilibriums. We analyze the effects of stifling mechanism and forgetting mechanism on the information spreading process, and validate the results of theoretical analysis by numerical simulations.