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OBJECTIVES: Estimates of the basic reproduction number (R0) of COVID-19 vary across countries. This paper aims to characterise the spatial variability in R0 across the first six months of the global COVID-19 outbreak, and to explore social…

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…

Populations and Evolution · Quantitative Biology 2021-12-13 Pratyush K. Kollepara , Joel C. Miller

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…

Signal Processing · Electrical Eng. & Systems 2026-01-14 Etienne Lasalle , Barbara Pascal

In this paper, we provide a straightforward approach to defining and deriving the key epidemiological quantity, the basic reproduction number, $R_0$, for Markovian epidemics in structured populations. The methodology derived is applicable…

Populations and Evolution · Quantitative Biology 2019-03-26 Peter Neal , Thitiya Theparod

The correct evaluation of the reproductive number $R$ for COVID-19 -- which characterizes the average number of secondary cases generated by each typical primary case -- is central in the quantification of the potential scope of the…

Applications · Statistics 2021-04-15 Claire Donnat , Susan Holmes

Timely prediction of the COVID-19 progression is not possible without a comprehensive understanding of environmental factors that may affect the infection transmissibility. Studies addressing parameters that may influence COVID-19…

Populations and Evolution · Quantitative Biology 2021-03-30 Igor Salom , Andjela Rodic , Ognjen Milicevic , Dusan Zigic , Magdalena Djordjevic , Marko Djordjevic

An important issue in theoretical epidemiology is the epidemic threshold phenomenon, which specify the conditions for an epidemic to grow or die out. In standard (mean-field-like) compartmental models the concept of the basic reproductive…

Biological Physics · Physics 2007-05-23 D. Alves , V. J. Haas , A. Caliri

In the last year many public health decisions were based on real-time monitoring the spread of the ongoing COVID-19 pandemic. For this one often considers the reproduction number which measures the amount of secondary cases produced by a…

Applications · Statistics 2021-09-01 Jan Pablo Burgard , Stefan Heyder , Thomas Hotz , Tyll Krueger

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…

Populations and Evolution · Quantitative Biology 2020-04-15 Laurent Hébert-Dufresne , Benjamin M. Althouse , Samuel V. Scarpino , Antoine Allard

When an infectious disease strikes a population, the number of newly reported cases is often the only available information that one can obtain during early stages of the outbreak. An important goal of early outbreak analysis is to obtain a…

Quantitative Methods · Quantitative Biology 2013-05-30 Bahman Davoudi , Babak Pourbohloul , Joel Miller , Rafael Meza , Lauren Ancel Meyers , David J. D. Earn

The basic reproduction number ($R_0$) is an epidemiological metric that represents the average number of new infections caused by a single infectious individual in a completely susceptible population. The methodology for calculating this…

Algebraic Topology · Mathematics 2025-12-05 Trevor Reckell , Beckett Sterner , Petar Jevtić

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…

Populations and Evolution · Quantitative Biology 2022-09-07 Carlos Hernandez-Suarez , Osval Montesinos Lopez

Many studies have proposed a relationship between COVID-19 transmissibility and ambient pollution levels. However, a major limitation in establishing such associations is to adequately account for complex disease dynamics, influenced by…

Populations and Evolution · Quantitative Biology 2021-09-07 Ognjen Milicevic , Igor Salom , Andjela Rodic , Sofija Markovic , Marko Tumbas , Dusan Zigic , Magdalena Djordjevic , Marko Djordjevic

The reproductive number R_0 (and its value after initial disease emergence R) has long been used to predict the likelihood of pathogen invasion, to gauge the potential severity of an epidemic, and to set policy around interventions.…

Populations and Evolution · Quantitative Biology 2020-06-29 Clara L. Shaw , David A. Kennedy

A major difficulty to estimate $R$ (the effective reproducing number) of COVID-19 is that most cases of COVID-19 infection are mild or asymptomatic, therefore true number of infection is difficult to determine. This paper estimates the…

Physics and Society · Physics 2020-05-14 Yoriyuki Yamagata

In epidemiology, the effective reproduction number $R_e$ is used to characterize the growth rate of an epidemic outbreak. In this paper, we investigate properties of $R_e$ for a modified SEIR model of COVID-19 in the city of Houston, TX…

Populations and Evolution · Quantitative Biology 2021-04-22 Christopher Thron , Vianney Mbazumutima , Luis Vargas Tamayo , Leonard Todjihounde

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…

Physics and Society · Physics 2025-03-11 Xin-Jian Xu , Song-Jie He , Li-Jie Zhang

Accurate epidemic forecasting requires models that account for the layered and heterogeneous nature of real social interactions. The basic reproduction number $\mathcal R_0$ calculated from models that assume homogeneous mixing or…

Physics and Society · Physics 2025-10-15 Eric Alejandro Rozan , Mario Ignacio Simoy , Sebastian Bouzat , Marcelo Nestor Kuperman

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…

Populations and Evolution · Quantitative Biology 2016-04-18 Pieter Trapman , Frank Ball , Jean-Stéphane Dhersin , Viet Chi Tran , Jacco Wallinga , Tom Britton

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…

Populations and Evolution · Quantitative Biology 2020-06-30 H. Susanto , V. R. Tjahjono , A. Hasan , M. F. Kasim , N. Nuraini , E. R. M. Putri , R. Kusdiantara , H. Kurniawan
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