• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

按患者风险分层的医院-社区模型中的耐药菌传播。

Transmission of drug-resistant bacteria in a hospital-community model stratified by patient risk.

机构信息

Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland.

Julius Center for Health Sciences and Primary Care, University Medical Center Utrecht, Utrecht University, Utrecht, The Netherlands.

出版信息

Sci Rep. 2023 Oct 30;13(1):18593. doi: 10.1038/s41598-023-45248-3.

DOI:10.1038/s41598-023-45248-3
PMID:37903799
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10616222/
Abstract

A susceptible-infectious-susceptible (SIS) model for simulating healthcare-acquired infection spread within a hospital and associated community is proposed. The model accounts for the stratification of in-patients into two susceptibility-based risk groups. The model is formulated as a system of first-order ordinary differential equations (ODEs) with appropriate initial conditions. The mathematical analysis of this system is demonstrated. It is shown that the system has unique global solutions, which are bounded and non-negative. The basic reproduction number ([Formula: see text]) for the considered model is derived. The existence and the stability of the stationary solutions are analysed. The disease-free stationary solution is always present and is globally asymptotically stable for [Formula: see text], while for [Formula: see text] it is unstable. The presence of an endemic stationary solution depends on the model parameters and when it exists, it is globally asymptotically stable. The endemic state encompasses both risk groups. The endemic state within only one group only is not possible. In addition, for [Formula: see text] a forward bifurcation takes place. Numerical simulations, based on the anonymised insurance data, are also presented to illustrate theoretical results.

摘要

本文提出了一种易感-感染-易感染（SIS）模型，用于模拟医院内和相关社区获得性感染的传播。该模型考虑了将住院患者分层为两个基于易感性的风险组。该模型被构造成具有适当初始条件的一阶常微分方程（ODE）系统。对该系统进行了数学分析。结果表明，该系统具有唯一的全局解，这些解是有界的且非负的。推导出了所考虑模型的基本再生数（[Formula: see text]）。分析了定态解的存在性和稳定性。无病定态解总是存在的，并且对于[Formula: see text]是全局渐近稳定的，而对于[Formula: see text]则是不稳定的。地方病定态解的存在取决于模型参数，并且当它存在时，它是全局渐近稳定的。地方病状态包括两个风险组。仅一个组中的地方病状态是不可能的。此外，对于[Formula: see text]，发生了正向分歧。还基于匿名保险数据进行了数值模拟，以说明理论结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/3c24c65c366b/41598_2023_45248_Fig14_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/7123ab250e5b/41598_2023_45248_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/bd00fc0310d4/41598_2023_45248_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/d59a1c72dc45/41598_2023_45248_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/f8a0b8545b7c/41598_2023_45248_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/65137460f0ed/41598_2023_45248_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/6ca03a495e01/41598_2023_45248_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/32c68a027ebe/41598_2023_45248_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/edbfdf06848e/41598_2023_45248_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/9a6fc746b066/41598_2023_45248_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/cb712f43c521/41598_2023_45248_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/0c025bbd792e/41598_2023_45248_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/f73fe2b05200/41598_2023_45248_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/9c25419a82e5/41598_2023_45248_Fig13_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/3c24c65c366b/41598_2023_45248_Fig14_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/7123ab250e5b/41598_2023_45248_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/bd00fc0310d4/41598_2023_45248_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/d59a1c72dc45/41598_2023_45248_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/f8a0b8545b7c/41598_2023_45248_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/65137460f0ed/41598_2023_45248_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/6ca03a495e01/41598_2023_45248_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/32c68a027ebe/41598_2023_45248_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/edbfdf06848e/41598_2023_45248_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/9a6fc746b066/41598_2023_45248_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/cb712f43c521/41598_2023_45248_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/0c025bbd792e/41598_2023_45248_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/f73fe2b05200/41598_2023_45248_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/9c25419a82e5/41598_2023_45248_Fig13_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e895/10616222/3c24c65c366b/41598_2023_45248_Fig14_HTML.jpg

相似文献

1
Transmission of drug-resistant bacteria in a hospital-community model stratified by patient risk.按患者风险分层的医院-社区模型中的耐药菌传播。
Sci Rep. 2023 Oct 30;13(1):18593. doi: 10.1038/s41598-023-45248-3.
2
Bifurcation analysis and global dynamics of a mathematical model of antibiotic resistance in hospitals.医院抗生素耐药性数学模型的分岔分析与全局动力学
J Math Biol. 2017 Dec;75(6-7):1463-1485. doi: 10.1007/s00285-017-1128-3. Epub 2017 Apr 10.
3
Perceptive movement of susceptible individuals with memory.有记忆的易感个体的感知运动。
J Math Biol. 2023 Mar 30;86(5):65. doi: 10.1007/s00285-023-01904-w.
4
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment.具有年龄相关潜伏期和治疗时滞的结核病模型的全局动力学
J Math Biol. 2023 Oct 5;87(5):66. doi: 10.1007/s00285-023-01999-1.
5
Analysis of War and Conflict Effect on the Transmission Dynamics of the Tenth Ebola Outbreak in the Democratic Republic of Congo.分析战争和冲突对刚果民主共和国第十次埃博拉疫情传播动态的影响。
Bull Math Biol. 2022 Oct 18;84(12):136. doi: 10.1007/s11538-022-01094-4.
6
Stability and bifurcations in a discrete-time epidemic model with vaccination and vital dynamics.带接种和生命动态的离散时间传染病模型的稳定性和分支。
BMC Bioinformatics. 2020 Nov 16;21(1):525. doi: 10.1186/s12859-020-03839-1.
7
Mathematical model analysis and numerical simulation for codynamics of meningitis and pneumonia infection with intervention.数学模型分析与干预下脑膜炎和肺炎感染动力学的数值模拟
Sci Rep. 2022 Feb 16;12(1):2639. doi: 10.1038/s41598-022-06253-0.
8
A reaction-diffusion within-host HIV model with cell-to-cell transmission.一个具有细胞间传播的宿主内HIV反应扩散模型。
J Math Biol. 2018 Jun;76(7):1831-1872. doi: 10.1007/s00285-017-1202-x. Epub 2018 Jan 5.
9
Effect of infection age on an SIS epidemic model on complex networks.感染年龄对复杂网络上SIS传染病模型的影响。
J Math Biol. 2016 Nov;73(5):1227-1249. doi: 10.1007/s00285-016-0991-7. Epub 2016 Mar 23.
10
Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias.具有空间异质性和媒介偏好的两株疟疾传播模型分析
J Math Biol. 2021 Mar 1;82(4):24. doi: 10.1007/s00285-021-01577-3.

引用本文的文献

1
Prevalence and molecular characterization of colistin resistance in Pseudomonas aeruginosa isolates: insights from a study in Ardabil hospitals.亚达比勒医院分离的铜绿假单胞菌中粘菌素耐药的流行情况及分子特征研究
BMC Microbiol. 2024 May 3;24(1):152. doi: 10.1186/s12866-024-03309-1.

本文引用的文献

1
The effect of re-directed patient flow in combination with targeted infection control measures on the spread of multi-drug-resistant Enterobacteriaceae in the German health-care system: a mathematical modelling approach.重新引导患者流量与靶向感染控制措施相结合对德国医疗保健系统中多重耐药肠杆菌科传播的影响：一种数学建模方法。
Clin Microbiol Infect. 2023 Jan;29(1):109.e1-109.e7. doi: 10.1016/j.cmi.2022.08.001. Epub 2022 Aug 12.
2
Impact of antibiotic use on patient-level risk of death in 36 million hospital admissions in England.抗生素使用对英格兰 3600 万住院患者死亡风险的影响。
J Infect. 2022 Mar;84(3):311-320. doi: 10.1016/j.jinf.2021.12.029. Epub 2021 Dec 25.
3
Relevance of intra-hospital patient movements for the spread of healthcare-associated infections within hospitals - a mathematical modeling study.
院内患者流动与医院内获得性感染传播的相关性——一项基于数学模型的研究。
PLoS Comput Biol. 2021 Feb 3;17(2):e1008600. doi: 10.1371/journal.pcbi.1008600. eCollection 2021 Feb.
4
Modelling pathogen spread in a healthcare network: Indirect patient movements.在医疗保健网络中建模病原体传播：间接患者流动。
PLoS Comput Biol. 2020 Nov 30;16(11):e1008442. doi: 10.1371/journal.pcbi.1008442. eCollection 2020 Nov.
5
Impact of inter-hospital transfers on the prevalence of resistant pathogens in a hospital-community system.医院间转运会对医院-社区系统中耐药病原体的流行产生影响。
Epidemics. 2020 Dec;33:100408. doi: 10.1016/j.epidem.2020.100408. Epub 2020 Oct 21.
6
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix.具有不对称连接矩阵的 SIS 传染病斑块模型的稳态渐近分布。
J Math Biol. 2020 Jun;80(7):2327-2361. doi: 10.1007/s00285-020-01497-8. Epub 2020 May 6.
7
SciPy 1.0: fundamental algorithms for scientific computing in Python.SciPy 1.0：Python 中的科学计算基础算法。
Nat Methods. 2020 Mar;17(3):261-272. doi: 10.1038/s41592-019-0686-2. Epub 2020 Feb 3.
8
Mathematical modelling for antibiotic resistance control policy: do we know enough?抗生素耐药性控制政策的数学建模：我们了解得够多吗？
BMC Infect Dis. 2019 Nov 29;19(1):1011. doi: 10.1186/s12879-019-4630-y.
9
Tracking Pseudomonas aeruginosa transmissions due to environmental contamination after discharge in ICUs using mathematical models.利用数学模型追踪 ICU 出院后因环境污染导致的铜绿假单胞菌传播。
PLoS Comput Biol. 2019 Aug 28;15(8):e1006697. doi: 10.1371/journal.pcbi.1006697. eCollection 2019 Aug.
10
Population genetic structuring of methicillin-resistant clone EMRSA-15 within UK reflects patient referral patterns.英国耐甲氧西林金黄色葡萄球菌克隆 EMRSA-15 的种群遗传结构反映了患者转诊模式。
Microb Genom. 2017 Jul 4;3(7):e000113. doi: 10.1099/mgen.0.000113. eCollection 2017 Jul.