具有活跃节点的多层网络作用下时滞SEQS模型分析  

Analysis of Time-Delay SEQS Model Based on Multi-Layer Network with Active Nodes

作　　者：曹铃苓 杨宏春 高雅纯 张虎 杨春[2] 付传技 CAO Lingling;YANG Hongchun;GAO Yachun;ZHANG Hu;YANG Chun;FU Chuanji(School of Physics,University of Electronic Science and Technology of China,Chengdu 611731,China;School of Mathematics,University of Electronic Science and Technology of China,Chengdu 611731,China)

机构地区：[1]电子科技大学物理学院,成都611731 [2]电子科技大学数学学院,成都611731

出　　处：《电子科技大学学报》2024年第2期277-283,共7页Journal of University of Electronic Science and Technology of China

摘　　要：疾病传播的研究使得对疫情分布和发展的预测更为准确。现有的疾病传播模型对不同城市间流动人口对疾病传播造成的影响研究较少,为此,该文提出了具有活跃节点的多层网络作用下的时滞SEQS(Susceptible-Exposed-Quarantined-Susceptible)模型。其中,时滞SEQS重点研究疾病潜伏期、恢复期及恢复后可再次感染等特性对传播行为的影响,模型中每层静态网络表示不同城市的社交网络,活跃节点表示城市间流动人口,活跃节点的存在使得该多层网络具有时变性,同时模型引入检测机制,以隔离态节点为中心,对在其检测半径内的邻接节点进行检测。研究表明,该模型的传播行为最终演化状态存在3种主要模式:稳态、周期性振荡和非周期性振荡,在能有效降低疾病传染率的情况下,划定精准检测范围可有效控制疾病大规模传播。The study of disease transmission is of great significance to make more accurate prediction of the epidemic dynamics.Most of the existing disease transmission models are based on single-layer networks and do not consider the coupling effect between multi-layer networks.In this paper,a Susceptible-Exposed-Quarantined-Susceptible(SEQS)model with time delay under the action of multi-layer networks with active nodes is proposed.A time-delayed SEQS model is used to simulate a disease that has an incubation period as well as a recovery period,and can be reinfected after recovery.The static network in the multi-layer network represents the social network of different cities,and the active nodes represent the floating population between cities.Because of the existence of active nodes,the multiple layer network is time-varying,and a detection mechanism is introduced to detect the adjacent nodes within the detection radius with the isolated node as the center.Research show that the final evolution state of the propagation curve of the model has three modes:steady state,periodic oscillation,and non-periodic oscillation,also show that determining the accurate detection range can effectively control the large-scale spread of the disease,when the rate of disease transmission can be effectively reduced.

关 键 词：活跃节点 检测半径 多层网络 SEQS模型 时滞 

分 类 号：TP399[自动化与计算机技术—计算机应用技术]