多层网络中谣言传播的动态控制策略分析  

Analysis of Rumor Spreading with a Temporal Control Strategy in Multiplex Networks

作　　者：杨喜艳 吴亚豪 张家军[2] YANG Xi-yan;WU Ya-hao;ZHANG Jia-jun(School of Financial Mathematics and Statistics,Guangdong University of Finance Guangzhou 510521;School of Mathematics,Sun Yat-sen University Guangzhou 510275)

机构地区：[1]广东金融学院金融数学与统计学院,广州510521 [2]中山大学数学学院,广州510275

出　　处：《电子科技大学学报》2020年第4期511-518,554,共9页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(11601094,11631005);广东省自然科学基金(2018A0303130120);广东省教育科学规划课题(2018GXJK119)。

摘　　要：该文基于微观马尔科夫链方法建立双层网络的谣言传播模型,并提出一种动态控制策略。本文发现:1)强有力的控制能够导致谣言的同步爆发,即两个子网络层中受谣言影响的人数同时达到最大;2)发现谣言的控制效应取决于网络拓扑度、目标层和初始控制的选择。越晚(早)控制或越大(小)的网络拓扑度需要投入越多(少)的资源,目标层选择在较大的网络拓扑度上将取得较好的控制效应。这些结果表明动态控制策略能够有效阻止多层社交网络中的谣言传播。In this paper,a temporal control strategy is proposed by analyzing a rumor spreading model based on microscopic Markov chain in a two-layer network.The obtained results show that both sub-networks can show synchronized outbreak,where the maximum fractions of the infected population simultaneously emerge when a vigorous control measure is taken.In addition,the control effect depends on the selection of the network topological degree,the target layer,and the control time.The later(earlier)control or larger(smaller)network topological degree needs more(less)resource.The control effect is better when the target layer is chosen at a larger network topological degree.These results imply that the temporal control strategy is effective in preventing rumor spreading.

关 键 词：马尔科夫链 多层网络 谣言传播 动态控制策略 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论] G206.3[自动化与计算机技术—计算机科学与技术]