Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network

IF 3.5 2区 数学 Q1 MATHEMATICS, APPLIED
Ming Li , Liang'an Huo
{"title":"Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network","authors":"Ming Li ,&nbsp;Liang'an Huo","doi":"10.1016/j.amc.2025.129396","DOIUrl":null,"url":null,"abstract":"<div><div>Individual interactions play a crucial role in the co-evolution process of awareness and epidemics; these interactions involve pairwise and higher-order types. Previous research usually assumed that individual interactions are all valid and static, overlooking the fact that some interactions may be invalid and time-varying. Notably, diffusion phenomena cannot occur if interactions lose their validity. To address this gap, a novel coupled model is proposed to study the effect of time-varying interaction validity on the co-evolution of awareness and epidemics in a multiplex high-order network. Individual activity and life-cycle theory are employed to model the time-varying validity of interactions, which is further characterized using threshold functions. Simulation experiments reveal that increasing individual activity will increase the validity of interactions, which then leads to the prevalence of epidemics. In addition, maximizing epidemic control can be achieved by increasing activity in the virtual layer while reducing activity in the physical layer. Moreover, the results in more densely interacted communities suggest that more stringent control measures are required to bring the epidemic to extinction.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129396"},"PeriodicalIF":3.5000,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325001237","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0

Abstract

Individual interactions play a crucial role in the co-evolution process of awareness and epidemics; these interactions involve pairwise and higher-order types. Previous research usually assumed that individual interactions are all valid and static, overlooking the fact that some interactions may be invalid and time-varying. Notably, diffusion phenomena cannot occur if interactions lose their validity. To address this gap, a novel coupled model is proposed to study the effect of time-varying interaction validity on the co-evolution of awareness and epidemics in a multiplex high-order network. Individual activity and life-cycle theory are employed to model the time-varying validity of interactions, which is further characterized using threshold functions. Simulation experiments reveal that increasing individual activity will increase the validity of interactions, which then leads to the prevalence of epidemics. In addition, maximizing epidemic control can be achieved by increasing activity in the virtual layer while reducing activity in the physical layer. Moreover, the results in more densely interacted communities suggest that more stringent control measures are required to bring the epidemic to extinction.
多重高阶网络中个体相互作用时变效度对意识和流行病共同进化的影响
个体的相互作用在意识和流行病的共同进化过程中起着至关重要的作用;这些交互涉及成对和高阶类型。以往的研究通常假设个体之间的相互作用都是有效的和静态的,忽略了一些相互作用可能是无效的和时变的。值得注意的是,如果相互作用失去有效性,扩散现象就不会发生。为了解决这一问题,提出了一种新的耦合模型来研究时变交互效度对多重高阶网络中意识和流行病共同进化的影响。采用个体活动理论和生命周期理论对交互作用时变有效性进行建模,并利用阈值函数进一步表征交互作用时变有效性。模拟实验表明,个体活动的增加将增加相互作用的有效性,从而导致流行病的流行。此外,可以通过增加虚拟层的活动而减少物理层的活动来最大限度地控制疫情。此外,在相互作用更密集的社区中取得的结果表明,需要采取更严格的控制措施才能消灭这种流行病。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
7.90
自引率
10.00%
发文量
755
审稿时长
36 days
期刊介绍: Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信