复杂网络中考虑不完全免疫的病毒传播研究  

Virus spreading on complex networks with imperfect immunization

作　　者：王亚奇[1] 蒋国平[1,2] 

机构地区：[1]南京邮电大学控制与智能技术研究中心,南京210003 [2]南京邮电大学自动化学院,南京210003

出　　处：《物理学报》2010年第10期6734-6743,共10页Acta Physica Sinica

基　　金：教育部新世纪优秀人才支持计划(批准号:NCET-06-0510);国家自然科学基金(批准号:60874091);江苏省"六大人才高峰"高层次人才计划(批准号:SJ209006)资助的课题~~

摘　　要：复杂网络中不完全免疫包括免疫失败和免疫失效两种情况,本文研究两者同时存在对网络病毒传播行为的影响,基于平均场理论,提出一种新的传播模型.理论分析表明,免疫失败和免疫失效同时存在显著降低了网络的传播临界值,增强了病毒的感染程度.根据传播临界值与免疫节点密度、免疫成功率以及免疫失效率之间的关系,给出有效控制网络病毒传播的策略.通过数值仿真进行验证。The imperfect immunization includes immune failure and immune invalidity on complex networks.In this paper,based on mean-field theory,we propose a new susceptible-infected-removed model to study epidemic spreading in networks with both immune failure and immune invalidity.Theoretical analysis shows that the immune failure and immune invalidity can significantly reduce the epidemic threshold and enhance the epidemic prevalence in the networks.According to the relationships between epidemic threshold,immune density of nodes,immune success rate and immune invalid rate,some suggestions on how to effectively control the propagation of epidemics are presented.Numerical simulations have confirmed the theoretical results.

关 键 词：复杂网络 病毒传播 不完全免疫 传播临界值 

分 类 号：O157.5[理学—数学]