双重社会强化谣言传播模型及稳定性分析

发布时间：2018-06-01 20:47

本文选题：谣言传播 + 双重社会强化　；参考：《系统科学与数学》2017年09期

【摘要】：谣言大规模扩散给社会造成了不良影响甚至严重危害,引发了学术界和政府的高度关注.通过分析群体正负双重社会强化效用对个体传播行为的影响,构建了谣言传播动力学模型,计算了平衡点和基本再生数,并运用Lyapunov函数法、Routh-Hurwitz稳定判据与复合矩阵等方法讨论了平衡点渐进稳定性.理论分析证明,当基本再生数不大于1时,谣言迅速消失,无谣言平衡点全局渐进稳定,否则谣言传播扩散,非零谣言平衡点全局渐进稳定.新浪微博仿真实验发现,在双重社会强化效用影响下,提高个体对谣言独立甄别能力有助于谣言由大规模扩散向迅速消失趋势转移;只有当抑制谣言传播的社会负强化足够大时,才能迅速终止谣言持续传播.
[Abstract]:The spread of rumors has caused adverse effects and even serious harm to the society, which has aroused great concern from academia and government. By analyzing the influence of positive and negative social reinforcement effect on individual communication behavior, the dynamic model of rumor propagation is constructed, and the equilibrium point and basic reproduction number are calculated. The asymptotic stability of equilibrium point is discussed by using Lyapunov function method, Routh-Hurwitz stability criterion and composite matrix. The theoretical analysis shows that when the basic reproducing number is less than 1, the rumor disappears rapidly, and the equilibrium point of no rumor is globally asymptotically stable. Otherwise, the spread of rumors and the global asymptotic stability of non-zero rumor equilibrium point are proved. Sina Weibo simulation experiment shows that under the influence of dual social enhancement effect, improving the individual ability of independent screening of rumors will help to transfer rumors from large-scale diffusion to rapid disappearance. It is only when the negative social strengthening is large enough that the continuous spreading of rumors can be stopped quickly.
【作者单位】：燕山大学经济管理学院;燕山大学互联网+与产业发展研究中心;
【基金】：国家自然科学基金(71271186) 河北省自然科学基金(G2016203220,G2017203319) 中国博士后科学基金(2015M581320) 教育部人文社科基金(17YJCZH109)资助课题
【分类号】：G206;O175

【相似文献】