有突变的网络上竞争性传播的均衡分析

IF 2.4 Q2 AUTOMATION & CONTROL SYSTEMS
Xue Lin;Qiang Jiao
{"title":"有突变的网络上竞争性传播的均衡分析","authors":"Xue Lin;Qiang Jiao","doi":"10.1109/LCSYS.2024.3415457","DOIUrl":null,"url":null,"abstract":"Epidemic models have been used to analyze various spreading phenomena in the population, and usually consider that the spreading object does not change in the spreading process. Yet generally, the virus may evolve due to the influence of environments and medical interventions, or the information may be modified by individuals in networks. In this letter, we investigate the spread of two competing viruses in a network, where one of the viruses can mutate into the other one with a certain probability. Based on the multi-group susceptible-infected-susceptible (SIS) model, a mathematical model is proposed to describe the spread of viruses with mutations. We provide a necessary and sufficient condition for the uniqueness of the zero equilibrium, and the conditions for the existence, uniqueness, and local exponential stability of the coexisting equilibrium. Our results demonstrate that the mutation can affect the spreading ability of the virus and the coexistence of viruses. Moreover, we show the effect of mutation on the proportion of infected individuals by comparing it with the model without mutation.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Equilibrium Analysis for Competitive Spreading Over Networks With Mutations\",\"authors\":\"Xue Lin;Qiang Jiao\",\"doi\":\"10.1109/LCSYS.2024.3415457\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Epidemic models have been used to analyze various spreading phenomena in the population, and usually consider that the spreading object does not change in the spreading process. Yet generally, the virus may evolve due to the influence of environments and medical interventions, or the information may be modified by individuals in networks. In this letter, we investigate the spread of two competing viruses in a network, where one of the viruses can mutate into the other one with a certain probability. Based on the multi-group susceptible-infected-susceptible (SIS) model, a mathematical model is proposed to describe the spread of viruses with mutations. We provide a necessary and sufficient condition for the uniqueness of the zero equilibrium, and the conditions for the existence, uniqueness, and local exponential stability of the coexisting equilibrium. Our results demonstrate that the mutation can affect the spreading ability of the virus and the coexistence of viruses. Moreover, we show the effect of mutation on the proportion of infected individuals by comparing it with the model without mutation.\",\"PeriodicalId\":37235,\"journal\":{\"name\":\"IEEE Control Systems Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-06-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Control Systems Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10559231/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10559231/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0

摘要

流行病模型被用来分析人群中的各种传播现象,通常认为传播对象在传播过程中不会发生变化。然而,一般情况下,病毒可能会因环境和医疗干预的影响而发生演变,或者网络中的个体可能会修改信息。在这封信中,我们研究了两种相互竞争的病毒在网络中的传播,其中一种病毒会以一定的概率变异成另一种病毒。基于多群体易感-感染-易感(SIS)模型,我们提出了一个数学模型来描述病毒的变异传播。我们提供了零平衡唯一性的必要条件和充分条件,以及共存平衡的存在性、唯一性和局部指数稳定性条件。我们的结果表明,变异会影响病毒的传播能力和病毒的共存。此外,我们还通过与无变异模型的比较,展示了变异对受感染个体比例的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Equilibrium Analysis for Competitive Spreading Over Networks With Mutations
Epidemic models have been used to analyze various spreading phenomena in the population, and usually consider that the spreading object does not change in the spreading process. Yet generally, the virus may evolve due to the influence of environments and medical interventions, or the information may be modified by individuals in networks. In this letter, we investigate the spread of two competing viruses in a network, where one of the viruses can mutate into the other one with a certain probability. Based on the multi-group susceptible-infected-susceptible (SIS) model, a mathematical model is proposed to describe the spread of viruses with mutations. We provide a necessary and sufficient condition for the uniqueness of the zero equilibrium, and the conditions for the existence, uniqueness, and local exponential stability of the coexisting equilibrium. Our results demonstrate that the mutation can affect the spreading ability of the virus and the coexistence of viruses. Moreover, we show the effect of mutation on the proportion of infected individuals by comparing it with the model without mutation.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
IEEE Control Systems Letters
IEEE Control Systems Letters Mathematics-Control and Optimization
CiteScore
4.40
自引率
13.30%
发文量
471
×
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