在线社交网络中谣言传播模型的稳定性分析

Stability analysis of a rumor propagation model in online social networks

针对一类具有政府控制效应的社交网络谣言传播模型,运用常微分方程稳定性理论讨论边界平衡点和正平衡点的全局稳定性,并通过数值仿真验证了理论分析的正确性.结果表明,政府部门施加控制能有效缩减谣言传播的最终规模.

A class of rumor spreading model with government control effect is considered in this pa per. By applying the theory of ordinary differential equation, globally asymptotieal stability of boundary equilibrium and positive equilibrium are discussed. The numerical simulation is presented to illustrate the correctness of theoretical analysis. The resuhs confirm that the government control effect is conducive to control the rumor spreading.