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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

刘志梅 郑重武

北华大学学报(自然科学版)2025,Vol.26Issue(3):290-296,7.
北华大学学报(自然科学版)2025,Vol.26Issue(3):290-296,7.DOI:10.11713/j.issn.1009-4822.2025.03.002

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

刘志梅 1郑重武1

作者信息

  • 1. 运城学院数学与信息技术学院,山西运城 044000
  • 折叠

摘要

Abstract

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

Key words

overlay networks/disease transmission/information dissemination/Markov chain method/SA'IS-UAU

分类

数学

引用本文复制引用

刘志梅,郑重武..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[J].北华大学学报(自然科学版),2025,26(3):290-296,7.

基金项目

山西省高等学校科技创新项目(2020L0551) (2020L0551)

运城学院科研项目(YY-202216). (YY-202216)

北华大学学报(自然科学版)

1009-4822

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