在线社交网络中双谣言扩散的阈值研究  

Research on Threshold of Double Rumor Spread in Online Social Networks

作　　者：杨超[1] 王友国[1,2] 朱亮[1] YANG Chao;WANG You-guo;ZHU Liang(College of Telecommunications&Information Engineering,Nanjing University of Posts and Telecommunications,Nanjing Jiangsu 210003,China;College of Science,Nanjing University of Posts and Telecommunications,Nanjing Jiangsu 210046,China)

机构地区：[1]南京邮电大学通信与信息工程学院,江苏南京210003 [2]南京邮电大学理学院,江苏南京210046

出　　处：《计算机仿真》2020年第8期206-209,370,共5页Computer Simulation

基　　金：“通信与网络技术国家工程研究中心”开放研究基金(GCZX001)。

摘　　要：为了更加贴合实际社交网络中谣言的传播过程,构建了社交网络中的双谣言扩散模型并研究其传播阈值的一般形式。基于经典的SIR(Susceptible-Infected-Recovered)传染病模型,考虑双谣言同时传播且相互影响的情况,分别在度均匀和度不均匀的网络环境中推导出阈值表达式,为研究多则谣言在网络中传播和其阈值提供了基础。针对社交网络的小世界和无标度特性,基于所构建的人工网络进行了数值仿真,研究了在不同的平均度下的,扩散规模和扩散阈值(基本再生数)之间的关系,验证了阈值的存在。仿真结果表明,平均度对谣言在网络中的扩散有显著影响,在平均度越小的网络中,谣言的扩散阈值越大,仿真结果验证了理论分析。In order to fit in with the spreading process of rumors in social networks,we constructed a two-rumor spreading model in social networks and studied the general form of its spreading threshold.Based on the classical Susceptible-Infected-Recovered(SIR)epidemic model,the threshold expressions in homogeneous and heterogeneous networks were derived with the mutual influence of two rumors.The heuristic model would also help research the diffusion process of multiple rumors.Considering the characteristics of small-world and scale-free networks,numerical simulations were carried out based on the constructed artificial networks.The relationship between diffusion scale and diffusion threshold(basic reproduction number)under different average degrees was studied,and the existence of threshold was verified.The simulation results show that the average degree has a significant impact on the spread of rumors in the network.And rumor always diffuses to a larger scale in the network with a smaller average degree.The simulation results verify the theoretical analysis.

关 键 词：双谣言 扩散阈值 传染病模型 非均匀网络 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]