基于博弈策略的动态网络病毒传播模型和控制

Dynamic Network Virus Propagation Model and Control Based on Game Strategy

病毒仓室模型通常用于对生物网络,计算机网络和人类社交网络传播进行建模和分析。在以前的工作中,此类系统的建模主要集中在具有静态网络图结构的网络上,但是基于静态网络的建模过于简化并且很难应用到实际。为解决上述问题,通过分析静态网络病毒传播模型SEIR的不足,提出动态网络病毒传播模型,并使用基于博弈策略的SIQR模型研究动态网络中病毒控制问题。在博弈策略的隔离技术下对病毒传播模型进行仿真、稳定性分析,发现病毒在隔离仓室中随时间的增加而减小直至消灭。通过博弈策略能够有效控制动态网络的病毒传播,从而维护网络空间安全。

Virus models are usually used to model and analyze the spread of biological networks,computer networks and human social networks.In previous work,the dynamic modeling of this type of system was mainly focused on the network with a static network graph structure,but the modeling based on the static network was too simplified and difficult to apply in practice.Therefore,this paper analyzes the deficiencies of the static network virus propagation model SEIR,proposes a dynamic network virus propagation model,and uses the SIQR model based on game strategy to study the problem of virus control in dynamic networks.Under the isolation technology of the game strategy,the virus propagation model is simulated and stability analyzed,and it is found that the virus in the isolation warehouse decreases with the increase of time until it is eliminated.The game strategy can effectively control the spread of viruses in dynamic networks,thereby maintaining cyberspace security.