Time-dependent reproduction number

时间相关的再现次数
  • 文章类型: Journal Article
    在SEIR模型中分析E/S(暴露/易感)比率。该比率在了解2014-2016年塞拉利昂和几内亚埃博拉疫情期间的疫情动态方面发挥着关键作用。根据初始易感群体(S(0)),该比率的最大值出现在时间相关再现数(Rt)等于1之前或之后。证明了对应于各种孵育期的传输速率曲线在称为交叉点(CP)的单个点处相交。在这一点上,E/S比达到极值,标志着变速器动力学的关键转变,并与Rt接近1的时间对齐。通过绘制传输速率曲线,β(t),对于任何两个任意的潜伏期,并跟踪它们的交叉点,随着时间的推移,我们可以追踪CP。CP是流行病状态的指标,特别是当Rt接近1时。它提供了一种在不事先了解潜伏期的情况下监测流行病的实用方法。通过一个案例研究,我们估计传播速率和复制次数,识别CP和Rt=1,同时检查S(0)的各种值的E/S比。
    The E/S (exposed/susceptible) ratio is analyzed in the SEIR model. The ratio plays a key role in understanding epidemic dynamics during the 2014-2016 Ebola outbreak in Sierra Leone and Guinea. The maximum value of the ratio occurs immediately before or after the time-dependent reproduction number (Rt) equals 1, depending on the initial susceptible population (S(0)). It is demonstrated that transmission rate curves corresponding to various incubation periods intersect at a single point referred to as the Cross Point (CP). At this point, the E/S ratio reaches an extremum, signifying a critical shift in transmission dynamics and aligning with the time when Rt approaches 1. By plotting transmission rate curves, β(t), for any two arbitrary incubation periods and tracking their intersections, we can trace CP over time. CP serves as an indicator of epidemic status, especially when Rt is close to 1. It provides a practical means of monitoring epidemics without prior knowledge of the incubation period. Through a case study, we estimate the transmission rate and reproduction number, identifying CP and Rt = 1 while examining the E/S ratio across various values of S(0).
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  • 文章类型: Journal Article
    这项研究旨在调查COVID-19大流行的Omicron阶段在高层建筑内可能的病毒传播情况。
    横断面研究设计。
    为了确定SARS-CoV-2的Omicron变体的致病性,人口统计学,从深圳一栋高层住宅楼爆发期间的COVID-19阳性病例中收集疫苗接种和临床数据,中国,2022年初。通过实地调查和工程分析,确定了建筑物内部病毒传播的模式。结果突出了高层住宅建筑中Omicron感染的风险。
    感染Omicron变体的症状主要是轻度的。与疫苗接种状态相比,年龄较小对疾病严重程度的影响更大。被调查的高层建筑每层包含7套公寓,编号01到07,位于每个楼层的相同布局中。排水系统包括从地面到建筑物屋顶的垂直管道。在不同时间点的感染率和07号公寓(07型)与其他公寓之间的发生率差异有统计学意义(P<0.001)。早期发病的家庭集中在07型公寓中,其疾病的严重程度更为严重。爆发的潜伏期为5.21-5.31天,时间依赖性繁殖数(Rt)为12.08(95%置信区间[CI]7.66,18.29)。结果表明,非接触和接触病毒传播都可能是此次爆发的原因。建筑物中的排水系统允许气溶胶反流,因此表明建筑物的结构可能导致了污水管道中病毒的传播。其他公寓的感染可能是电梯中的病毒传播和亲密的家庭接触的结果。
    这项研究的结果表明,Omicron传播很可能是通过污水系统进行的,通过楼梯和电梯中的接触传输来补充。需要强调和防止Omicron的环境传播。
    UNASSIGNED: This study aimed to investigate possible viral transmission scenarios inside a high-rise building during the Omicron phase of the COVID-19 pandemic.
    UNASSIGNED: Cross-sectional study design.
    UNASSIGNED: In order to determine the pathogenicity of the Omicron variant of SARS-CoV-2, demographic, vaccination and clinical data were collected from COVID-19 positive cases during an outbreak in a high-rise residential building in Shenzhen, China, in early 2022. The pattern of viral transmission inside the building was determined through field investigation and engineering analysis. The results highlight the risk of Omicron infection in high-rise residential buildings.
    UNASSIGNED: Symptoms of infection with the Omicron variant are predominantly mild. Younger age has a greater impact on the severity of disease than vaccination status. Each floor of the high-rise building investigated contained 7 apartments, numbered 01 to 07, positioned in the same layout on each floor. The drainage system included vertical pipes from the ground to the roof of the building. There were statistically significant differences in infection rates at different time points and incidence ratios between apartment numbers ending in 07 (type 07) and other apartments (P < 0.001). Households with early disease onset were concentrated in apartment type 07 and the severity of their disease was more severe. The incubation period of the outbreak was 5.21-5.31 days and the time-dependent reproduction number (Rt) was 12.08 (95% confidence interval [CI] 7.66, 18.29). Results suggest both non-contact and contact viral transmission may have contributed to the outbreak. The drainage system in the building allows aerosol regurgitation, thus indicating that the structure of the building may have led to spread of the virus from the sewage pipes. Infections in other apartments may have been as result of viral transmission in the elevators and intimate family contact.
    UNASSIGNED: Results from this study suggest that Omicron transmission was likely to be via the sewage system, supplemented by contact transmission in the stairs and elevators. The environmental spread of Omicron needs to be highlighted and prevented.
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  • 文章类型: Letter
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  • 文章类型: Journal Article
    未经证实:腮腺炎是一种季节性传染病,总是发生在冬天和春天。在这项研究中,我们旨在分析其流行病学特征,可传播性,及其与气象变量的相关性。
    UNASSIGNED:应用了季节性易感暴露/无症状恢复模型和下一代矩阵方法来估计与时间相关的繁殖数(Rt)。
    UNASSIGNED:年发病率的季节性双峰主要在5月至7月和11月至12月。在Rt=1.091(范围:0至4.393)的中位数处存在高传播。Rt主要在2月至4月和9月至11月呈季节性分布。发现温度之间存在相关性(皮尔逊相关系数[r]范围:从0.101到0.115),平均相对湿度(r=0.070),平均局部压力(r=-0.066),以及新病例的数量。此外,平均局部压力(r=0.188),平均风速(r=0.111),空气温度(r范围:-0.128至-0.150),平均相对湿度(r=-0.203)和日照时间(r=-0.075)均与Rt相关。
    UNASSIGNED:在厦门市发现了相对较高的可传播性,导致腮腺炎持续流行。气象因素,特别是空气温度和相对湿度,与其他因素相比,腮腺炎可能更密切相关。
    UNASSIGNED: Mumps is a seasonal infectious disease, always occurring in winter and spring. In this study, we aim to analyze its epidemiological characteristics, transmissibility, and its correlation with meteorological variables.
    UNASSIGNED: A seasonal Susceptible-Exposed-Infectious/Asymptomatic-Recovered model and a next-generation matrix method were applied to estimate the time-dependent reproduction number (R t ).
    UNASSIGNED: The seasonal double peak of annual incidence was mainly in May to July and November to December. There was high transmission at the median of R t  = 1.091 (ranged: 0 to 4.393). R t was seasonally distributed mainly from February to April and from September to November. Correlations were found between temperature (Pearson correlation coefficient [r] ranged: from 0.101 to 0.115), average relative humidity (r = 0.070), average local pressure (r = -0.066), and the number of new cases. In addition, average local pressure (r = 0.188), average wind speed (r = 0.111), air temperature (r ranged: -0.128 to -0.150), average relative humidity (r = -0.203) and sunshine duration (r = -0.075) were all correlated with R t .
    UNASSIGNED: A relatively high level of transmissibility has been found in Xiamen City, leading to a continuous epidemic of mumps. Meteorological factors, especially air temperature and relative humidity, may be more closely associated with mumps than other factors.
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  • 文章类型: Comparative Study
    To compare a mathematical tool and time-dependent reproduction number (Rt) estimates to assess the COVID-19 pandemic progression in a Canadian context.
    Total number of reported cases were plotted against total number of tests for COVID-19 performed over time, with and without smoothing, for Canada and some Canadian provinces individually. Changes in curvature profile were identified as either convex or concave as indicators of pandemic acceleration or deceleration, respectively. Rt estimates were calculated on an exponential growth rate.
    For Canada as a whole, the testing graphs had a slightly concave profile and a coincident decrease in Rt estimates. Saskatchewan more recently had a convex profile with a gradual shift to a concave profile and also demonstrated a gradual decline in Rt estimates. Curves and Rt estimates for Alberta, British Columbia, Manitoba, Nova Scotia, Ontario and Quebec displayed a gradual shift towards concavity over time and an overall decrease in Rt estimates, which is suggestive of a positive impact of public health interventions implemented federally and provincially.
    The present analyses compared a mathematical tool to Rt estimates to ascertain the status of the pandemic in Canada. Caution should be taken when interpreting results due to factors such as varying testing protocols, available testing data unique to each province and limitations inherent to each method, which may generate different results using the two approaches. Analysis of testing data may complement metrics obtained from surveillance data to allow for a weight-of-evidence approach to assess the status of the COVID-19 pandemic.
    RéSUMé: OBJECTIFS: Comparer un outil mathématique aux estimations du taux de reproduction en fonction du temps (Rt) pour évaluer la progression de la pandémie de la COVID-19 dans le contexte canadien. MéTHODES: Le nombre total de cas signalés a été comparé au nombre total de tests à la COVID-19 effectués au fil du temps, avec et sans lissage, pour le Canada et certaines provinces canadiennes individuellement. Les modifications du profil de courbure identifiées comme étant convexes ou concaves seraient des indicateurs respectivement d’une accélération ou d’une décélération de la pandémie. Le calcul des estimations du Rt a été réalisé en fonction du taux de croissance exponentiel. RéSULTATS: Pour l’ensemble du Canada, la légère concavité des graphiques relatifs aux tests coïncidait avec la diminution des estimations du Rt. Plus récemment, la Saskatchewan avait un profil convexe avec un passage progressif à un profil concave et a également démontré une baisse progressive des estimations du Rt. Les courbes et les estimations du Rt pour l’Alberta, la Colombie-Britannique, le Manitoba, la Nouvelle-Écosse, l’Ontario et le Québec ont montré un glissement progressif vers la concavité au fil du temps et une diminution globale des estimations du Rt, ce qui suggère un impact positif des interventions de santé publique mises en œuvre au niveau fédéral et provincial. CONCLUSION: Les présentes analyses ont comparé un outil mathématique aux estimations de Rt pour déterminer l’état de la pandémie au Canada. Les résultats doivent être interprétés avec prudence en raison de certains facteurs tels que les différences entre provinces en ce qui concerne les protocoles de réalisation des tests et la disponibilité des données relatives aux tests. De plus, une limite inhérente à la méthodologie de cette étude est la possibilité d’obtenir des résultats différents en fonction de l’approche utilisée. L’analyse des données des tests pourrait être complémentaire à celle des données de surveillance pour permettre une approche fondée sur le poids de la preuve dans le cadre de l’évaluation de l’état de la pandémie de la COVID-19.
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