社会网络中考虑群体免疫力的谣言传播模型研究  

Rumor Spreading Model Considering the Herd Immunity in Social Network

作　　者：王筱莉[1] 夏志杰[1] 栾东庆[1] 杨湘浩[1] 王芹 阎瑞霞[1] WANG Xiaoli;XIA Zhijie;LUAN Dongqing;YANG Xianghao;WANG Qin;YAN Ruixia(School of Management,Shanghai University of Engineering Science,Shanghai 201620,China;College of Transport & Communications,Shanghai Maritime University,Shanghai 201306,China)

机构地区：[1]上海工程技术大学管理学院,上海201620 [2]上海海事大学交通运输学院,上海201306

出　　处：《上海理工大学学报》2017年第6期571-575,共5页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学青年基金资助项目(71503163);国家社会科学一般项目(14BTQ026);上海市哲学社会科学规划项目(2015EGL007);上海高校青年教师培养资助计划(ZZGCD15093);教育部人文社会科学研究青年基金项目(13YJCZH122);教育部人文社会科学研究一般项目(17YJA630120);上海市浦江人才计划(14PJC060)

摘　　要：近年来很多谣言给国家和社会带来了巨大的经济损失.为了更好地减少谣言对公众和社会的危害,并给出有效应对谣言传播的策略和建议,通过考虑谣言传播中无知者免疫程度差异性对谣言传播过程的影响,建立了社会网络中考虑群体免疫力的谣言传播模型,并给出了均匀网络中的平均场方程和相应的稳定性分析.根据平均场方程利用Runge-Kutta方法对谣言传播过程进行了数值仿真.仿真结果表明:社会网络中免疫增强率在谣言传播中起到重要的作用,免疫增强率越大,谣言的影响力越小,即提高免疫力强的无知者的人群比例,可降低网络中谣言传播的最大影响力.In recent years,many rumors have brought huge economic losses to the country and society.In order to reduce the harm influence of rumors on the public and society,and give effective strategies and suggestions to cope with the rumors propagation,based on the study on the influence of herd immunity differences on the rumor propagation process,a rumor propagation model considering the herd immunity in social network was established.The corresponding mean field equations in homogeneous network were given and their stability was analyzed.According to the mean field equations by using the method of Runge Kutta,the rumor propagation process was numerically simulated.The simulation results show that the immune enhancement rate plays an important role in rumors spreading.The greater the immune enhancement rate,the smaller the influence of rumor,that is,raising the proportion of people with strong immunity,the maximum influence of rumor propagation in the network could be reduced.

关 键 词：谣言传播 群体免疫力 均匀网络 稳定状态 

分 类 号：N945[自然科学总论—系统科学]