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For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Infectious disease outbreaks recapitulate biology: they emerge from the multi-level interaction of hosts, pathogens, and their shared environment. As a result, predicting when, where, and how far diseases will spread requires a complex…

Physics and Society · Physics 2018-10-11 Samuel V. Scarpino , Giovanni Petri

Infectious diseases are caused by pathogenic microorganisms and can spread through different ways. Mathematical models and computational simulation have been used extensively to investigate the transmission and spread of infectious…

We present a computational modeling framework for data-driven simulations and analysis of infectious disease spread in large populations. For the purpose of efficient simulations, we devise a parallel solution algorithm targeting…

Populations and Evolution · Quantitative Biology 2018-02-19 Pavol Bauer , Stefan Engblom , Stefan Widgren

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

Early outbreak detection is a key aspect in the containment of infectious diseases, as it enables the identification and isolation of infected individuals before the disease can spread to a larger population. Instead of detecting unexpected…

Machine Learning · Computer Science 2021-10-19 Michael Rapp , Moritz Kulessa , Eneldo Loza Mencía , Johannes Fürnkranz

Individual-level epidemic models are increasingly being used to help understand the transmission dynamics of various infectious diseases. However, fitting such models to individual-level epidemic data is challenging, as we often only know…

Applications · Statistics 2026-02-17 Dirk Douwes-Schultz , Rob Deardon , Alexandra M. Schmidt

The current survey paper concerns stochastic mathematical models for the spread of infectious diseases. It starts with the simplest setting of a homogeneous population in which a transmittable disease spreads during a short outbreak.…

Applications · Statistics 2018-01-30 Tom Britton

A novel predictive modeling framework for the spread of infectious diseases using high dimensional partial differential equations is developed and implemented. A scalar function representing the infected population is defined on a…

Populations and Evolution · Quantitative Biology 2020-07-06 Sashikumaar Ganesan , Deepak Subramani

Accurate epidemic forecasting is crucial for public health response, resource allocation, and outbreak intervention, but remains difficult with sparse, noisy, and highly non-stationary data. Because epidemics unfold across interacting…

Artificial Intelligence · Computer Science 2026-05-08 Ruiqi Lyu , Alistair Turcan , Bryan Wilder

We consider state and parameter estimation for compartmental models having both time-varying and time-invariant parameters. Though the described Bayesian computational framework is general, we look at a specific application to the…

Computational Engineering, Finance, and Science · Computer Science 2023-11-07 Brandon Robinson , Philippe Bisaillon , Jodi D. Edwards , Tetyana Kendzerska , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

Social contact matrices are essential tools in infectious disease epidemiology as they quantify close-range human contact patterns which directly drive the transmission of airborne infectious diseases. In this work we propose a Bayesian…

Methodology · Statistics 2026-05-11 Shozen Dan , David A. van Dyk , Zhi Ling , Swapnil Mishra , Oliver Ratmann

We propose a novel Bayesian methodology for analyzing nonstationary time series that exhibit oscillatory behaviour. We approximate the time series using a piecewise oscillatory model with unknown periodicities, where our goal is to estimate…

We study sequential Bayesian inference in stochastic kinetic models with latent factors. Assuming continuous observation of all the reactions, our focus is on joint inference of the unknown reaction rates and the dynamic latent states,…

Computation · Statistics 2014-09-10 Junjing Lin , Michael Ludkovski

Infectious disease surveillance is of great importance for the prevention of major outbreaks. Syndromic surveillance aims at developing algorithms which can detect outbreaks as early as possible by monitoring data sources which allow to…

Machine Learning · Computer Science 2021-02-01 Moritz Kulessa , Eneldo Loza Mencía , Johannes Fürnkranz

Stochastic epidemic models provide an interpretable probabilistic description of the spread of a disease through a population. Yet, fitting these models to partially observed data is a notoriously difficult task due to intractability of the…

Computation · Statistics 2022-10-21 Raphael Morsomme , Jason Xu

Sequential Monte Carlo (SMC) algorithms represent a suite of robust computational methodologies utilized for state estimation and parameter inference within dynamical systems, particularly in real-time or online environments where data…

Epidemic forecasting has become an integral part of real-time infectious disease outbreak response. While collaborative ensembles composed of statistical and machine learning models have become the norm for real-time forecasting,…

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

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