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As an emergent infectious disease outbreak unfolds, public health response is reliant on information on key epidemiological quantities, such as transmission potential and serial interval. Increasingly, transmission models fit to incidence…

Populations and Evolution · Quantitative Biology 2015-06-29 Aaron A. King , Matthieu Domenech de Cellès , Felicia M. G. Magpantay , Pejman Rohani

The infection fatality rate (IFR) of COVID-19 is one of the measures of disease impact that can be of importance for policy making. Here we show that many of the studies on which these estimates are based are scientifically flawed for…

Populations and Evolution · Quantitative Biology 2020-12-24 Chen Shen , Derrick Van Gennep , Alexander F. Siegenfeld , Yaneer Bar-Yam

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

Multiple lines of evidence strongly suggest that infection hotspots, where a single individual infects many others, play a key role in the transmission dynamics of COVID-19. However, most of the existing epidemiological models fail to…

The transmission rate of many acute infectious diseases varies significantly in time, but the underlying mechanisms are usually uncertain. They may include seasonal changes in the environment, contact rate, immune system response, etc. The…

Quantitative Methods · Quantitative Biology 2011-06-17 Mark Pollicott , Hao Wang , Howie Weiss

Mathematical models of infectious diseases, which are in principle analytically tractable, use two general approaches. The first approach, generally known as compartmental modeling, addresses the time evolution of disease propagation at the…

Populations and Evolution · Quantitative Biology 2010-09-16 Pierre-André Noël , Bahman Davoudi , Robert C. Brunham , Louis J. Dubé , Babak Pourbohloul

Mathematical modeling of disease spreading plays a crucial role in understanding, controlling and preventing epidemic outbreaks. In a microscopic description of the propagation of a disease over the complex network of human contacts, the…

Physics and Society · Physics 2021-10-08 Federico Malizia , Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

Social and Information Networks · Computer Science 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

Optimization and Control · Mathematics 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu

Epidemiologists aiming to model the dynamics of global events face a significant challenge in identifying the factors linked with anomalies such as disease outbreaks. In this paper, we present a novel method for identifying the most…

Machine Learning · Computer Science 2021-09-20 Aboli Marathe , Saloni Parekh , Harsh Sakhrani

A standard model for epidemics is the SIR model on a graph. We introduce a simple algorithm that uses the early infection times from a sample path of the SIR model to estimate the parameters this model, and we provide a performance…

Information Theory · Computer Science 2020-08-11 Charles Clum , Dustin G. Mixon

The study of infectious disease propagation is essential for understanding and controlling epidemics. One of the most useful tools for gaining insights into the spread of infectious diseases is mathematical modelling. In terms of…

Epidemic models are increasingly used in real-world networks to understand diffusion phenomena (such as the spread of diseases, emotions, innovations, failures) or the transport of information (such as news, memes in social on-line…

Physics and Society · Physics 2016-12-06 Piet Van Mieghem

The problem of targeted network immunization can be defined as the one of finding a subset of nodes in a network to immunize or vaccinate in order to minimize a tradeoff between the cost of vaccination and the final (stationary) expected…

Physics and Society · Physics 2015-07-10 F. Altarelli , A. Braunstein , L. Dall'Asta , J. R. Wakeling , R. Zecchina

When an infectious disease outbreak is of a relatively small size, describing the ancestry of a sample of infected individuals is difficult because most ancestral models assume large population sizes. Given a set of infected individuals, we…

Populations and Evolution · Quantitative Biology 2025-01-31 Xavier Didelot , David Helekal , Ian Roberts

Epidemic models play a key role in understanding and responding to the emerging COVID-19 pandemic. Widely used compartmental models are static and are of limited use to evaluate intervention strategies with the emerging pandemic. Applying…

Populations and Evolution · Quantitative Biology 2021-01-01 Shuo Wang , Xian Yang , Ling Li , Philip Nadler , Rossella Arcucci , Yuan Huang , Zhongzhao Teng , Yike Guo

Traditional disease transmission models assume that the infectious period is exponentially distributed with a recovery rate fixed in time and across individuals. This assumption provides analytical and computational advantages, however it…

Populations and Evolution · Quantitative Biology 2024-01-30 Laura Di Domenico , Eugenio Valdano , Vittoria Colizza

We present a unifying, tractable approach for studying the spread of viruses causing complex diseases requiring to be modeled using a large number of types (e.g., infective stage, clinical state, risk factor class). We show that recording…

To strengthen inferences meta analyses are commonly used to summarize information from a set of independent studies. In some cases, though, the data may not satisfy the assumptions underlying the meta analysis. Using three Bayesian methods…

Applications · Statistics 2022-04-07 Dexter Cahoy , Joseph Sedransk

Predicting counterfactual distributions in complex dynamical systems is essential for scientific modeling and decision-making in domains such as public health and medicine. However, existing methods often rely on point estimates or purely…

Machine Learning · Computer Science 2025-09-15 Wenhao Mu , Zhi Cao , Mehmed Uludag , Alexander Rodríguez