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Related papers: Spatio-Temporal Analysis of Surveillance Data

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There are many sources of data giving information about the number of SARS-CoV-2 infections in the population, but all have major drawbacks, including biases and delayed reporting. For example, the number of confirmed cases largely…

Applications · Statistics 2022-06-08 Nicholas J. Irons , Adrian E. Raftery

Surveillance data serving for epidemic alert systems are typically fully aggregated in space. However, epidemics may be spatially heterogeneous, undergoing distinct dynamics in distinct regions of the surveillance area. We unveil this in…

Populations and Evolution · Quantitative Biology 2018-03-30 Pavel Polyakov , Cécile Souty , Pierre-Yves Böelle , Romulus Breban

Introduction The tau statistic is a recent second-order correlation function that can assess the magnitude and range of global spatiotemporal clustering from epidemiological data containing geolocations of individual cases and, usually,…

Since 1927, until recently, models describing the spread of disease have mostly been of the SIR-compartmental type, based on the assumption that populations are homogeneous and well-mixed. The focus of these models have typically been on…

Physics and Society · Physics 2014-07-23 Lara Goscé , David A W Barton , Anders Johansson

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

Dynamical Systems · Mathematics 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

The statistical theory of extremes is extended to observations that are non-stationary and not independent. The non-stationarity over time and space is controlled via the scedasis (tail scale) in the marginal distributions. Spatial…

Statistics Theory · Mathematics 2020-03-10 John H. J. Einmahl , Ana Ferreira , Laurens de Haan , Claudia Neves , Chen Zhou

The SIR model is a three-compartment model of the time development of an epidemic. After normalizing the dependent variables, the model is a system of two non-linear differential equations for the susceptible proportion $S$ and the infected…

Dynamical Systems · Mathematics 2021-04-27 William G. Faris

Reliable estimation of spatio-temporal trends in population-level HIV incidence is becoming an increasingly critical component of HIV prevention policy-making. However, direct measurement is nearly impossible. Current, widely used models…

Applications · Statistics 2019-12-04 Timothy M Wolock , Seth R Flaxman , Jeffrey W Eaton

The pandemic linked to COVID-19 infection represents an unprecedented clinical and healthcare challenge for many medical researchers attempting to prevent its worldwide spread. This pandemic also represents a major challenge for…

The behavior at criticality of spatial SIR (susceptible/infected/recovered) epidemic models in dimensions two and three is investigated. In these models, finite populations of size N are situated at the vertices of the integer lattice, and…

Probability · Mathematics 2009-01-05 Steven P. Lalley , Xinghua Zheng

A prompt public health response to a new epidemic relies on the ability to monitor and predict its evolution in real time as data accumulate. The 2009 A/H1N1 outbreak in the UK revealed pandemic data as noisy, contaminated, potentially…

Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models…

Epidemic models are useful tools in the fight against infectious diseases, as they allow policy makers to test and compare various strategies to limit disease transmission while mitigating collateral damage on the economy. Epidemic models…

Populations and Evolution · Quantitative Biology 2021-08-18 Joseph D. Peterson , Ronojoy Adhikari

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

A numerical framework for the 'real-time' estimation of the infection risk from airborne diseases (e.g., SARS-CoV-2) in indoor spaces such as hospitals, restaurants, cinemas or teaching rooms is proposed. The developed model is based on the…

The Bayesian analysis of infectious disease surveillance data from multiple locations typically involves building and fitting a spatio-temporal model of how the disease spreads in the structured population. Here we present new generally…

Methodology · Statistics 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even…

Physics and Society · Physics 2016-11-09 Helena Sofia Rodrigues

Throughout human history, epidemics have been a constant presence. Understanding their dynamics is essential to predict scenarios and make substantiated decisions. Mathematical models are powerful tools to describe an epidemic behavior.…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Walter HMendes aselein , Diego Eckhard

This paper provides an overview of three notable approaches for detecting anomalies in spatio-temporal data. The three review methods are selected from the framework of multivariate statistical process control (SPC), scan statistics, and…

Methodology · Statistics 2023-09-19 Ji Chen

Time Series Anomaly Detection (TSAD) finds widespread applications across various domains such as financial markets, industrial production, and healthcare. Its primary objective is to learn the normal patterns of time series data, thereby…

Machine Learning · Computer Science 2024-07-01 Yutong Chen , Hongzuo Xu , Guansong Pang , Hezhe Qiao , Yuan Zhou , Mingsheng Shang
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