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In the face of an infectious disease, a key epidemiological measure is the basic reproduction number, which quantifies the average secondary infections caused by a single case in a susceptible population. In practice, the effective…

物理与社会 · 物理学 2025-03-11 Xin-Jian Xu , Song-Jie He , Li-Jie Zhang

A key parameter in models for the spread of infectious diseases is the basic reproduction number $R_0$, which is the expected number of secondary cases a typical infected primary case infects during its infectious period in a large mostly…

种群与进化 · 定量生物学 2017-09-05 Kristoffer Spricer , Pieter Trapman

During an infectious disease outbreak, public health decision-makers require real-time monitoring of disease transmission to respond quickly and intelligently. In these settings, a key measure of transmission is the instantaneous…

统计方法学 · 统计学 2025-02-07 Gary Hettinger , David Rubin , Jing Huang

The basic reproductive number -- $R_0$ -- is one of the most common and most commonly misapplied numbers in public health. Although often used to compare outbreaks and forecast pandemic risk, this single number belies the complexity that…

种群与进化 · 定量生物学 2020-04-15 Laurent Hébert-Dufresne , Benjamin M. Althouse , Samuel V. Scarpino , Antoine Allard

This is a pedagogical paper on estimating the number of people that can be infected by one infectious person during an epidemic outbreak, known as the reproduction number. Knowing the number is crucial for developing policy responses. There…

种群与进化 · 定量生物学 2020-06-30 H. Susanto , V. R. Tjahjono , A. Hasan , M. F. Kasim , N. Nuraini , E. R. M. Putri , R. Kusdiantara , H. Kurniawan

In this paper we first introduce the general stochastic epidemic model for the spread of infectious diseases. Then we give methods for inferring model parameters such as the basic reproduction number $R_0$ and vaccination coverage $v_c$…

统计方法学 · 统计学 2014-11-14 Tom Britton , Federica Giardina

Early estimates of the transmission potential of emerging and re-emerging infections are increasingly used to inform public health authorities on the level of risk posed by outbreaks. Existing methods to estimate the reproduction number…

定量方法 · 定量生物学 2016-10-10 Gerardo Chowell , Cécile Viboud , Lone Simonsen , Seyed Moghadas

The basic reproduction number, $R_0$ is an important and widely used concept in the study of infectious diseases. We briefly review the recent trend of calculating the average of various $R_0$ estimates in systematic reviews aimed at…

种群与进化 · 定量生物学 2021-12-13 Pratyush K. Kollepara , Joel C. Miller

When controlling an emerging outbreak of an infectious disease it is essential to know the key epidemiological parameters, such as the basic reproduction number $R_0$ and the control effort required to prevent a large outbreak. These…

种群与进化 · 定量生物学 2016-04-18 Pieter Trapman , Frank Ball , Jean-Stéphane Dhersin , Viet Chi Tran , Jacco Wallinga , Tom Britton

For nearly a century, the initial reproduction number (R0) has been used as a one number summary to compare outbreaks of infectious disease, yet there is no `standard' estimator for R0. Difficulties in estimating R0 arise both from how a…

种群与进化 · 定量生物学 2020-03-25 Shannon Gallagher , Andersen Chang , William F. Eddy

The effective reproduction number, R(t), is a central point in the study of infectious diseases. It establishes in an explicit way the extent of an epidemic spread process in a population. The current estimation methods for the time…

种群与进化 · 定量生物学 2021-02-26 D. C. P. Jorge , J. F. Oliveira , J. G. V. Miranda , R. F. S. Andrade , S. T. R. Pinho

The basic reproduction number, $R_0$, is a well-known quantifier of epidemic spread. However, a class of existing methods for estimating $R_0$ from incidence data early in the epidemic can lead to an over-estimation of this quantity. In…

种群与进化 · 定量生物学 2024-03-27 Wajid Ali , Christopher E. Overton , Robert R. Wilkinson , Kieran J. Sharkey

Reproduction numbers are widely used for the estimation and prediction of epidemic spreading processes over networks. However, reproduction numbers do not enable estimation and prediction in individual communities within networks, and they…

系统与控制 · 电气工程与系统科学 2025-06-23 Baike She , Philip E. Paré , Matthew Hale

The basic reproduction number R0 -- the number of individuals directly infected by an infectious person in an otherwise susceptible population -- is arguably the most widely used estimator of how severe an epidemic outbreak can be. This…

种群与进化 · 定量生物学 2016-03-18 Petter Holme , Naoki Masuda

We consider a single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number $\mathcal{R}(t)$. We discuss the estimation of the underlying SIR parameters with a…

种群与进化 · 定量生物学 2020-04-16 Ariel Cintrón-Arias , Carlos Castillo-Chávez , Luís M. A. Bettencourt , Alun L. Lloyd , H. T. Banks

Epidemic models are a valuable tool in the decision making process. Once a mathematical model for an epidemics has been established, the very next step is calculating a mathematical expression for the basic reproductive number, $R_0$, which…

种群与进化 · 定量生物学 2022-09-07 Carlos Hernandez-Suarez , Osval Montesinos Lopez

During an epidemic outbreak, decision makers crucially need accurate and robust tools to monitor the pathogen propagation. The effective reproduction number, defined as the expected number of secondary infections stemming from one…

信号处理 · 电气工程与系统科学 2026-01-14 Etienne Lasalle , Barbara Pascal

The current survey paper concerns stochastic mathematical models for the spread of infectious diseases. It starts with the simplest setting of a homogeneous population in which a transmittable disease spreads during a short outbreak.…

应用统计 · 统计学 2018-01-30 Tom Britton

The time varying reproduction number R is a critical variable for situational awareness during infectious disease outbreaks, but delays between infection and reporting hinder its accurate estimation in real time. We propose a nowcasting…

A primary quantity of interest in the study of infectious diseases is the average number of new infections that an infected person produces. This so-called reproduction number has significant implications for the disease progression. There…

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