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

作　　者：赵敏[1] 陈文霞[1] 张平正[1] ZHAO Min;CHEN Wenxia;ZHANG Pingzheng(School of Science,Jiangsu University,Zhenjiang 212013,China)

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《扬州大学学报（自然科学版）》2018年第2期21-24,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11501253;11271164);江苏大学创新创业资助项目(201710299338W)

摘　　要：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.

关 键 词：在线社交网络 谣言传播 政府控制 稳定性 

分 类 号：O178.26[理学—数学] O178.13[理学—基础数学]