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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…

Many applications collect a large number of time series, for example, the financial data of companies quoted in a stock exchange, the health care data of all patients that visit the emergency room of a hospital, or the temperature sequences…

Information Theory · Computer Science 2017-02-09 Jonathan Mei , José M. F. Moura

Contact tracing has been extensively studied from different perspectives in recent years. However, there is no clear indication of why this intervention has proven effective in some epidemics (SARS) and mostly ineffective in some others…

Social and Information Networks · Computer Science 2021-03-01 Quyu Kong , Manuel Garcia-Herranz , Ivan Dotu , Manuel Cebrian

The abrupt outbreak and transmission of biological diseases has always been a long-time concern of humankind. For long, mathematical modeling has served as a simple and yet efficient tool to investigate, predict, and control spread of…

Populations and Evolution · Quantitative Biology 2020-04-10 Aresh Dadlani , Richard O. Afolabi , Hyoyoung Jung , Khosrow Sohraby , Kiseon Kim

Data types that lie in metric spaces but not in vector spaces are difficult to use within the usual regression setting, either as the response and/or a predictor. We represent the information in these variables using distance matrices which…

Methodology · Statistics 2016-01-20 Julian Faraway

Population stratification is a problem encountered in several areas of biology and public health. We tackle this problem by mapping a population and its elements attributes into a hypergraph, a natural extension of the concept of graph or…

Populations and Evolution · Quantitative Biology 2009-11-13 Alexei Vazquez

Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of the infection is highly limited in the beginning of the…

Quantitative Methods · Quantitative Biology 2021-10-13 Péter Boldog , Norbert Bogya , Zsolt Vizi

Transmission matrices, mapping the propagation of light from one end of the tissue to the other, form an important mathematical tool in the analysis of tissue scattering and the design of wavefront shaping systems. To understand the…

Optics · Physics 2025-04-01 Anat Levin , Marina Alterman

Households represent a key unit of interest in infectious disease epidemiology, in both empirical studies and mathematical modelling. The within-household transmission potential of a disease is often summarised by a secondary attack ratio…

Applications · Statistics 2026-03-27 Joseph Brooks , Thomas House , Lorenzo Pellis , Joe Hilton

Stochastic modeling of disease dynamics has had a long tradition. Among the first epidemic models including a spatial structure in the form of local interactions is the contact process. In this article we investigate two extensions of the…

Probability · Mathematics 2007-05-23 L. Belhadji , N. Lanchier

From pathogens and computer viruses to genes and memes, contagion models have found widespread utility across the natural and social sciences. Despite their success and breadth of adoption, the approach and structure of these models remain…

It is common to define the structure of interactions among a population of agents by a network. Most of agent-based models were shown highly sensitive to that network, so the relevance of simulation results directely depends on the…

Multiagent Systems · Computer Science 2020-04-03 Samuel Thiriot , Jean-Daniel Kant

We consider an age-structured epidemic model with two basic public health interventions: (i) identifying and isolating symptomatic cases, and (ii) tracing and quarantine of the contacts of identified infectives. The dynamics of the infected…

Populations and Evolution · Quantitative Biology 2014-03-13 Xi Huo

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

Populations and Evolution · Quantitative Biology 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

Contact tracing data collected from disease outbreaks has received relatively little attention in the epidemic modelling literature because it is thought to be unreliable: infection sources might be wrongly attributed, or data might be…

Methodology · Statistics 2012-03-16 Chris Jewell , Gareth Roberts

We consider the estimation of densities in multiple subpopulations, where the available sample size in each subpopulation greatly varies. This problem occurs in epidemiology, for example, where different diseases may share similar…

Methodology · Statistics 2021-09-15 Jiaming Qiu , Xiongtao Dai , Zhengyuan Zhu

Contact tracing, the practice of isolating individuals who have been in contact with infected individuals, is an effective and practical way of containing disease spread. Here, we show that this strategy is particularly effective in the…

Physics and Society · Physics 2024-02-12 Abbas K. Rizi , Leah A. Keating , James P. Gleeson , David J. P. O'Sullivan , Mikko Kivelä

Disease spread in most biological populations requires the proximity of agents. In populations where the individuals have spatial mobility, the contact graph is generated by the "collision dynamics" of the agents, and thus the evolution of…

Physics and Society · Physics 2007-06-07 Z. Toroczkai , H. Guclu

We present a contact-based model to study the spreading of epidemics by means of extending the dynamic message passing approach to temporal networks. The shift in perspective from node- to edge-centric quantities enables accurate modelling…

Physics and Society · Physics 2019-08-07 Andreas Koher , Hartmut H. K. Lentz , James P. Gleeson , Philipp Hövel

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha
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