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在网络科学中,对疾病传播和级联失效的研究分属两个独立的领域,但在实际中存在许多两个过程相互耦合的情况.比如在通信网络中,病毒传播会对数据传输造成影响,导致网络中负载变化,进而可能引发级联失效.这个现象已被观察到.通过建立两个动态过程相互作用的模型及针对该模型的分析,本文给出了计入节点的负载和容量时疾病爆发的条件.这一条件是由描述疾病传播速率的传播概率与描述节点容量大小的冗余系数共同决定的.进一步探讨表明,当疾病传播速率一定而冗余系数变化时,疾病恰好开始传播的临界点附近未感染且未失效的节点的数量是最大的,即在此点上网络处于最佳工作状态.因此给出疾病爆发的临界条件具有重要意义.
In the network science, the study of disease transmission and cascade failure belongs to two independent fields, but in practice, there are many situations in which two processes are coupled with each other.For example, in the communication network, virus transmission affects the data transmission , Which leads to the change of load in the network, which may lead to cascade failure.This phenomenon has been observed.Through the establishment of two dynamic process interaction model and the analysis of the model, this paper gives the load and capacity of nodes The condition of disease outbreak is determined by the propagation probability describing the disease transmission rate and the redundancy coefficient describing the capacity of the node.Further studies show that when the disease transmission rate is constant and the redundancy coefficient changes, the disease just begins to spread The number of uninfected and unvalidated nodes near the critical point is the largest, at which point the network is in optimal working order, so it is important to give the critical condition for disease outbreak.