赋权网络中的弱化免疫研究  

Some researches on weakened immunization for weighted network

作　　者：马英红[1] 李慧嘉[1] 张晓东[2] 

机构地区：[1]山东师范大学管理与经济学院,济南250014 [2]上海交通大学数学系,上海200240

出　　处：《管理科学学报》2010年第10期32-39,共8页Journal of Management Sciences in China

基　　金：国家自然科学基金资助项目(7107109060873058);山东省自然科学基金资助项目(Z2008G04);山东省优秀中青年科学家奖励基金资助项目(BS2009DX005);"泰山学者建设工程"资助项目

摘　　要：随着复杂网络在社会经济管理领域应用研究的发展,信息扩散或谣言传播及相应的传播控制也得到了人们的广泛关注.本文定义了边赋权网络中的控制行为——弱化免疫,即通过降低免疫节点所关联的边的权值,同时保持免疫后网络节点间的连接畅通,可使整个网络保持一定效率下的正常运行的免疫策略;其次,建立基于病毒传播SI模型上的弱化免疫模型,给出加权网络中弱化免疫下的谣言密度演化规律.最后研究加权网络中基于弱化免疫下的目标免疫策略,并分析弱化免疫网络同步性能,对加权网络中谣言传播和免疫策略等相关参数进行数值模拟,表明理论模型的可行性以及免疫策略的合理性.With the application of social networks analysis in the field of social economics and management,information spreading in network has been widely studied by many researchers and much attention has been given to the control of rumors circulating.In order to avoid fatal attack by the epidemic,in this paper,we define a weakened immunization in weighted network by reducing the link weight and meanwhile holding the connectivity of network with a certain efficient.Second,a density of infect nodes is obtained based on weighted susceptible-infected（SI） epidemic model,the density law of epidemic-infected is studied too.Lastly,immunization for target strategy in weighted networks is studied and numerical simulations show that the weakened immunization in weighted network fits well with theoretical analysis in our model.

关 键 词：加权网络 谣言传播 弱化免疫 模型 

分 类 号：G20[文化科学—传播学] C931[经济管理—管理学]