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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

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

We discuss how the presence of a large set of asymptomatic infectives changes our estimate of the COVID-19 basic reproduction number, also known as $R_0$.

Populations and Evolution · Quantitative Biology 2020-04-14 Giuseppe Gaeta

Basic and instantaneous reproduction numbers, "R" _"0" and "R" _"t" , are important metrics to assess progress of an epidemic and effectiveness of preventative interventions undertaken, and also to estimate coverage needed for vaccination.…

Populations and Evolution · Quantitative Biology 2025-11-07 Derek Marsh

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 COVID-19 pandemic has been a great catastrophe that upended human lives and caused millions of deaths all over the world. The rapid spread of the virus, with its early-stage exponential growth and subsequent 'waves', caught many medical…

Populations and Evolution · Quantitative Biology 2022-05-31 Anne V. Ginzburg , Valeriy V. Ginzburg , Julia O. Ginzburg , Ana Garcia Arias , Leela Rakesh

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

A great issue of discussion of an infectious disease is its basic reproduction number R0, which provides an estimation of the contagiousness of the disease. When R0 > 1, the disease spread will potentially lead to an outbreak, such that of…

Populations and Evolution · Quantitative Biology 2021-01-18 Dimitrios G. Patsatzis

Modeling the spread of COVID-19 is crucial for informing public health policy. All models for COVID-19 epidemiology rely on parameters describing the dynamics of the infection process. The meanings of epidemiological parameters like R_0,…

Other Quantitative Biology · Quantitative Biology 2020-07-13 Yinon M. Bar-On , Ron Sender , Avi I. Flamholz , Rob Phillips , Ron Milo

Timely estimation of the current value for COVID-19 reproduction factor $R$ has become a key aim of efforts to inform management strategies. $R$ is an important metric used by policy-makers in setting mitigation levels and is also important…

Populations and Evolution · Quantitative Biology 2020-05-26 Carlo R. Contaldi

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

Identifying the main environmental drivers of SARS-CoV-2 transmissibility in the population is crucial for understanding current and potential future outbursts of COVID-19 and other infectious diseases. To address this problem, we…

Populations and Evolution · Quantitative Biology 2021-09-01 Marko Djordjevic , Igor Salom , Sofija Markovic , Andjela Rodic , Ognjen Milicevic , Magdalena Djordjevic

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…

Populations and Evolution · Quantitative Biology 2016-03-18 Petter Holme , Naoki Masuda

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

The time-varying reproduction number $R(t)$ measures the number of new infections per infectious individual and is closely correlated with the time series of infection incidence by definition. The timings of actual infections are rarely…

Populations and Evolution · Quantitative Biology 2023-07-10 Oliver Eales , Steven Riley

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…

Many infectious diseases can lead to re-infection. We examined the relationship between the prevalence of repeat infection and the basic reproductive number (R0). First we solved a generic, deterministic compartmental model of re-infection…

Populations and Evolution · Quantitative Biology 2019-03-15 Joshua Feldman , Sharmistha Mishra

This paper is an exploratory study of two epidemiological questions on a worldwide basis. How fast is the disease spreading? Are the restrictions (especially mobility restrictions) for people bring the expected effect? To answer the first…

Social and Information Networks · Computer Science 2021-08-30 Tatiana Petrova , Dmitri Soshnikov , Andrey Grunin

In this paper we consider epidemic models of directly transmissible SIR (susceptible $\to$ infective $\to$ recovered) and SEIR (with an additional latent class) infections in fully-susceptible populations with a social structure, consisting…

Populations and Evolution · Quantitative Biology 2015-12-11 Frank Ball , Lorenzo Pellis , Pieter Trapman

Accurate modeling of lockdown effects on SARS-CoV-2 epidemic evolution is a key issue in order e.g. to inform health-care decisions on emergency management. The compartmental and spatial models so far proposed use parametric descriptions of…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Gianluigi Pillonetto , Mauro Bisiacco , Giorgio Palù , Claudio Cobelli
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