双层规则随机网络上伴随意识衰败的模型分析

Analysis of A SAIS Epidemic Model with Awareness Decay on Regular Random Overlay Network

考虑双层网络的SAIS模型,其中警觉者由于意识衰败可能成为易感者。用逼近Markov过程的方法推导基于个体的伴随意识衰败的信息传播SAIS模型。在规则随机网络下,分析了模型的动力学行为.证明了伴随意识衰败,信息传播的SAIS模型的第二阈值消失。

A SAIS model on overlay network was considered where an alert individual might go to the susceptible state with awareness delay. Individual-based information disseminationmodel with awareness delay was derived through the method of approximation Markov process. Under the regular random network,the dynamic behavior of the model was analyzed. Furthermore,the disappearance of the second epidemic threshold was proved with awareness delay on information dissemination SAIS model.