重叠网络上具有无症状感染的疾病与信息传播的动力学分析  

Dynamics Analysis of Disease and Information Transmission with Asymptomatic Infections on Overlapping Networks

作　　者：刘志梅 郑重武 LIU Zhimei;ZHENG Chongwu(School of Mathematics and Information Technology,Yuncheng University,Yuncheng 044000,China)

机构地区：[1]运城学院数学与信息技术学院,山西运城044000

出　　处：《北华大学学报(自然科学版)》2025年第3期290-296,共7页Journal of Beihua University(Natural Science)

基　　金：山西省高等学校科技创新项目(2020L0551);运城学院科研项目(YY-202216)。

摘　　要：利用马尔科夫链方法研究具有无症状感染的疾病与信息在重叠网络上的传播过程。建立SA′IS-UAU节点动力学模型,计算该模型下疾病传播的阈值,结果表明:疾病传播阈值与疾病恢复率、易感者的准许率及有防护意识人群所占的比例密切相关。数值模拟显示,信息传播在一定程度上有效减缓了疾病的扩散,减少了疾病的传染范围,但疾病传播阈值没有明显变化。The spread process of diseases and information with asymptomatic infections within overlay networks is studied by using the Markov chain method.A SA′IS-UAU node dynamics model is established,and the threshold for disease transmission under this model is calculated.The results indicate that the threshold for disease transmission is closely related to the recovery rate of the disease,the permission rate of susceptible individuals and the proportion of individuals with protective consciousness.Numerical simulations show that information dissemination has effectively slowed down the spread of diseases to a certain extent,and reduced the final scale of disease transmission,but the threshold for disease transmission has not changed significantly.

关 键 词：重叠网络 疾病传播 信息传播 马尔可夫链方法 SA′IS-UAU 

分 类 号：O175[理学—数学]