Mpox在HIV流行社区的动态:一个数学建模方法。

IF 2.6 4区 工程技术 Q1 Mathematics
Andrew Omame, Sarafa A Iyaniwura, Qing Han, Adeniyi Ebenezer, Nicola L Bragazzi, Xiaoying Wang, Woldegebriel A Woldegerima, Jude D Kong
{"title":"Mpox在HIV流行社区的动态:一个数学建模方法。","authors":"Andrew Omame, Sarafa A Iyaniwura, Qing Han, Adeniyi Ebenezer, Nicola L Bragazzi, Xiaoying Wang, Woldegebriel A Woldegerima, Jude D Kong","doi":"10.3934/mbe.2025010","DOIUrl":null,"url":null,"abstract":"<p><p>During the 2022 monkeypox (Mpox) outbreak in non-endemic countries, sexual transmission was identified as the dominant mode of transmission, and particularly affected the community of men who have sex with men (MSM). This community experienced the highest incidence of Mpox cases, exacerbating the public health burden they already face due to the disproportionate impact of HIV. Given the simultaneous spread of HIV and Mpox within the MSM community, it is crucial to understand how these diseases interact. Specifically, since HIV is endemic within this population, understanding its influence on the spread and control of Mpox is essential. In this study, we analyze a mechanistic mathematical model of Mpox to explore the potential impact of HIV on the dynamics of Mpox within the MSM community. The model considered in this work incorporates the transmission dynamics of the two diseases, including antiretroviral therapy (ART) for HIV. We assumed that HIV was already endemic in the population at the onset of the Mpox outbreak. Through our analysis, we derived the Mpox invasion reproduction number within an HIV-endemic setting and established the existence and local asymptotic stability of the Mpox-free equilibrium under these conditions. Furthermore, we demonstrated the existence and local asymptotic stability of an Mpox-endemic equilibrium in an HIV-endemic regime. Notably, our findings revealed that the model exhibits a backward bifurcation, a phenomenon that may not have occurred in the absence of HIV within the population. The public health significance of our results is that the presence of HIV in the MSM community could hinder efforts to control Mpox, allowing the disease to become endemic even when its invasion reproduction number is below one. Additionally, we found that Mpox might be more challenging to control in scenarios where HIV increases susceptibility to Mpox. Finally, consistent with previous studies, our analysis confirms that reducing sexual contact can be effective for controlling the spread of Mpox within the MSM community.</p>","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 2","pages":"225-259"},"PeriodicalIF":2.6000,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamics of Mpox in an HIV endemic community: A mathematical modelling approach.\",\"authors\":\"Andrew Omame, Sarafa A Iyaniwura, Qing Han, Adeniyi Ebenezer, Nicola L Bragazzi, Xiaoying Wang, Woldegebriel A Woldegerima, Jude D Kong\",\"doi\":\"10.3934/mbe.2025010\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>During the 2022 monkeypox (Mpox) outbreak in non-endemic countries, sexual transmission was identified as the dominant mode of transmission, and particularly affected the community of men who have sex with men (MSM). This community experienced the highest incidence of Mpox cases, exacerbating the public health burden they already face due to the disproportionate impact of HIV. Given the simultaneous spread of HIV and Mpox within the MSM community, it is crucial to understand how these diseases interact. Specifically, since HIV is endemic within this population, understanding its influence on the spread and control of Mpox is essential. In this study, we analyze a mechanistic mathematical model of Mpox to explore the potential impact of HIV on the dynamics of Mpox within the MSM community. The model considered in this work incorporates the transmission dynamics of the two diseases, including antiretroviral therapy (ART) for HIV. We assumed that HIV was already endemic in the population at the onset of the Mpox outbreak. Through our analysis, we derived the Mpox invasion reproduction number within an HIV-endemic setting and established the existence and local asymptotic stability of the Mpox-free equilibrium under these conditions. Furthermore, we demonstrated the existence and local asymptotic stability of an Mpox-endemic equilibrium in an HIV-endemic regime. Notably, our findings revealed that the model exhibits a backward bifurcation, a phenomenon that may not have occurred in the absence of HIV within the population. The public health significance of our results is that the presence of HIV in the MSM community could hinder efforts to control Mpox, allowing the disease to become endemic even when its invasion reproduction number is below one. Additionally, we found that Mpox might be more challenging to control in scenarios where HIV increases susceptibility to Mpox. Finally, consistent with previous studies, our analysis confirms that reducing sexual contact can be effective for controlling the spread of Mpox within the MSM community.</p>\",\"PeriodicalId\":49870,\"journal\":{\"name\":\"Mathematical Biosciences and Engineering\",\"volume\":\"22 2\",\"pages\":\"225-259\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2025-01-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Biosciences and Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.3934/mbe.2025010\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Biosciences and Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.3934/mbe.2025010","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0

摘要

在非流行国家的2022年猴痘暴发期间,性传播被确定为主要传播方式,并特别影响男男性行为者社区。该社区的麻疹病例发病率最高,加剧了他们因艾滋病毒的不成比例影响而已经面临的公共卫生负担。鉴于艾滋病毒和m痘在男男性接触者群体中同时传播,了解这些疾病如何相互作用至关重要。具体而言,由于艾滋病毒在这一人群中流行,因此了解其对Mpox传播和控制的影响至关重要。在这项研究中,我们分析了Mpox的机制数学模型,以探索HIV对MSM社区Mpox动态的潜在影响。在这项工作中考虑的模型结合了两种疾病的传播动力学,包括抗逆转录病毒治疗(ART)的艾滋病毒。我们假设在麻疹爆发之初,艾滋病毒已经在人群中流行。通过我们的分析,我们得到了在hiv流行环境下的Mpox入侵繁殖数,并在这些条件下建立了无Mpox平衡的存在性和局部渐近稳定性。此外,我们证明了在hiv流行状态下mpox -地方病平衡点的存在性和局部渐近稳定性。值得注意的是,我们的研究结果显示,该模型显示出一种后向分叉,这种现象可能不会发生在人群中没有HIV的情况下。我们研究结果的公共卫生意义在于,HIV在男男性接触者群体中的存在可能会阻碍控制Mpox的努力,即使在其入侵繁殖数低于1的情况下,也会使该疾病成为地方性疾病。此外,我们发现在艾滋病毒增加对m痘易感性的情况下,m痘可能更难以控制。最后,与之前的研究一致,我们的分析证实,减少性接触可以有效地控制m痘在MSM社区中的传播。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamics of Mpox in an HIV endemic community: A mathematical modelling approach.

During the 2022 monkeypox (Mpox) outbreak in non-endemic countries, sexual transmission was identified as the dominant mode of transmission, and particularly affected the community of men who have sex with men (MSM). This community experienced the highest incidence of Mpox cases, exacerbating the public health burden they already face due to the disproportionate impact of HIV. Given the simultaneous spread of HIV and Mpox within the MSM community, it is crucial to understand how these diseases interact. Specifically, since HIV is endemic within this population, understanding its influence on the spread and control of Mpox is essential. In this study, we analyze a mechanistic mathematical model of Mpox to explore the potential impact of HIV on the dynamics of Mpox within the MSM community. The model considered in this work incorporates the transmission dynamics of the two diseases, including antiretroviral therapy (ART) for HIV. We assumed that HIV was already endemic in the population at the onset of the Mpox outbreak. Through our analysis, we derived the Mpox invasion reproduction number within an HIV-endemic setting and established the existence and local asymptotic stability of the Mpox-free equilibrium under these conditions. Furthermore, we demonstrated the existence and local asymptotic stability of an Mpox-endemic equilibrium in an HIV-endemic regime. Notably, our findings revealed that the model exhibits a backward bifurcation, a phenomenon that may not have occurred in the absence of HIV within the population. The public health significance of our results is that the presence of HIV in the MSM community could hinder efforts to control Mpox, allowing the disease to become endemic even when its invasion reproduction number is below one. Additionally, we found that Mpox might be more challenging to control in scenarios where HIV increases susceptibility to Mpox. Finally, consistent with previous studies, our analysis confirms that reducing sexual contact can be effective for controlling the spread of Mpox within the MSM community.

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
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
×
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