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As the interactions between people increases, the impending menace of COVID-19 outbreaks materialize, and there is an inclination to apply lockdowns. In this context, it is essential to have easy-to-use indicators for people to use as a…

Populations and Evolution · Quantitative Biology 2021-01-26 Joaquín Salas

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…

Due to its ability to summarise 'real-time' epidemic behaviour, the time-dependent reproduction number, Rt, is a useful metric for tracking pathogen transmission and quantifying the effects of interventions during infectious disease…

Populations and Evolution · Quantitative Biology 2026-03-12 Ioana Bouros , Robin Thompson , David Gavaghan , Ben Lambert

The COVID-19 pandemic provides new motivation for a classic problem in epidemiology: estimating the empirical rate of transmission during an outbreak (formally, the time-varying reproduction number) from case counts. While standard methods…

Methodology · Statistics 2020-12-08 Bryan Wilder , Michael J. Mina , Milind Tambe

In this article, we consider a dynamic epidemiology model for the spread of the COVID-19 infection. Starting from the classical SEIR model, the model is modified so as to better describe characteristic features of the underlying pathogen…

Populations and Evolution · Quantitative Biology 2020-05-22 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

Effective intervention strategies for epidemics rely on the identification of their origin and on the robustness of the predictions made by network disease models. We introduce a Bayesian uncertainty quantification framework to infer model…

Populations and Evolution · Quantitative Biology 2020-04-02 Karen Larson , Clark Bowman , Zhizhong Chen , Panagiotis Hadjidoukas , Costas Papadimitriou , Petros Koumoutsakos , Anastasios Matzavinos

A simplified method to compute $R_t$, the Effective Reproduction Number, is presented. The method relates the value of $R_t$ to the estimation of the doubling time performed with a local exponential fit. The condition $R_t = 1$ corresponds…

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…

Populations and Evolution · Quantitative Biology 2020-04-16 Ariel Cintrón-Arias , Carlos Castillo-Chávez , Luís M. A. Bettencourt , Alun L. Lloyd , H. T. Banks

The evolution of epidemiological parameters, such as instantaneous reproduction number Rt, is important for understanding the transmission dynamics of infectious diseases. Current estimates of time-varying epidemiological parameters often…

Applications · Statistics 2021-10-26 Xian Yang , Shuo Wang , Yuting Xing , Ling Li , Richard Yi Da Xu , Karl J. Friston , Yike Guo

We define data analyses to monitor a change in R, the average number of secondary cases caused by a typical infected individual. The input dataset consists of incident cases partitioned into outbreaks, each initiated from a single index…

Populations and Evolution · Quantitative Biology 2016-04-27 Pavel Polyakov , Romulus Breban

In this paper, we explore whether the infection-rate of a disease can serve as a robust monitoring variable in epidemiological surveillance algorithms. The infection-rate is dependent on population mixing patterns that do not vary…

Applications · Statistics 2024-07-17 Wyatt Bridgman , Cosmin Safta , Jaideep Ray

This paper proposes a data-driven approximate Bayesian computation framework for parameter estimation and uncertainty quantification of epidemic models, which incorporates two novelties: (i) the identification of the initial conditions by…

Applications · Statistics 2023-06-28 Americo Cunha , David A. W. Barton , Thiago G. Ritto

In this paper, we consider a discrete-time stochastic SIR model, where the transmission rate and the true number of infectious individuals are random and unobservable. An advantage of this model is that it permits us to account for random…

Physics and Society · Physics 2024-01-30 Katia Colaneri , Camilla Damian , Rüdiger Frey

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

We propose a new method to estimate the time-varying effective (or instantaneous) reproduction number of the novel coronavirus disease (COVID-19). The method is based on a discrete-time stochastic augmented compartmental model that…

Quantitative Methods · Quantitative Biology 2022-04-27 A. Hasan , H. Susanto , V. R. Tjahjono , R. Kusdiantara , E. R. M. Putri , P. Hadisoemarto , N. Nuraini

Many quantities characterizing infectious disease outbreaks - like the effective reproduction number ($R_t$), defined as the average number of secondary infections a newly infected individual will cause over the course of their infection -…

Methodology · Statistics 2025-11-25 Jessalyn N. Sebastian , Volodymyr M. Minin

Wastewater-based epidemiology (WBE) is an effective tool for tracking community circulation of respiratory viruses. We address estimating the effective reproduction number ($R_t$) and the relative number of infections from wastewater viral…

The coronavirus pandemic has rapidly evolved into an unprecedented crisis. The susceptible-infectious-removed (SIR) model and its variants have been used for modeling the pandemic. However, time-independent parameters in the classical…

Populations and Evolution · Quantitative Biology 2020-09-09 Hyokyoung G. Hong , Yi Li

During an epidemic outbreak of a new disease, the probability of dying once infected is considered an important though difficult task to be computed. Since it is very hard to know the true number of infected people, the focus is placed on…

Methodology · Statistics 2024-03-26 Agustín Alvarez , Marina Fragalá , Marina Valdora

Monitoring the Covid19 pandemic constitutes a critical societal stake that received considerable research efforts. The intensity of the pandemic on a given territory is efficiently measured by the reproduction number, quantifying the rate…

Machine Learning · Computer Science 2023-04-19 Gersende Fort , Barbara Pascal , Patrice Abry , Nelly Pustelnik