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The estimation from available data of parameters governing epidemics is a major challenge. In addition to usual issues (data often incomplete and noisy), epidemics of the same nature may be observed in several places or over different…

Methodology · Statistics 2021-09-20 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

Influenza remains a significant burden on health systems. Effective responses rely on the timely understanding of the magnitude and the evolution of an outbreak. For monitoring purposes, data on severe cases of influenza in England are…

Despite the recent development of methods dealing with partially observed epidemic dynamics (unobserved model coordinates, discrete and noisy outbreak data), limitations remain in practice, mainly related to the quantity of augmented data…

Applications · Statistics 2021-07-26 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

Epidemics are often modelled using non-linear dynamical systems observed through partial and noisy data. In this paper, we consider stochastic extensions in order to capture unknown influences (changing behaviors, public interventions,…

Applications · Statistics 2012-11-06 Joseph Dureau , Konstantinos Kalogeropoulos , Marc Baguelin

Understanding age-group dynamics of infectious diseases is a fundamental issue for both scientific study and policymaking. Age-structure epidemic models were developed in order to study and improve our understanding of these dynamics. By…

Populations and Evolution · Quantitative Biology 2019-11-22 Rami Yaari , Amit Huppert , Itai Dattner

The effect of public health interventions on an epidemic are often estimated by adding the intervention to epidemic models. During the Covid-19 epidemic, numerous papers used such methods for making scenario predictions. The majority of…

Methodology · Statistics 2024-10-16 Heejong Bong , Valérie Ventura , Larry Wasserman

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

Populations and Evolution · Quantitative Biology 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld

We develop a stochastic epidemic model progressing over dynamic networks, where infection rates are heterogeneous and may vary with individual-level covariates. The joint dynamics are modeled as a continuous-time Markov chain such that…

Methodology · Statistics 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu

Mathematical models of epidemics often use compartmental models dividing the population into several compartments. Based on a microscopic setting describing the temporal evolution of the subpopulation sizes in the compartments by stochastic…

Populations and Evolution · Quantitative Biology 2025-03-11 Florent Ouabo Kamkumo , Ibrahim Mbouandi Njiasse , Ralf Wunderlich

Evidence-based knowledge of infectious disease burden, including prevalence, incidence, severity and transmission, in different population strata and locations, and possibly in real time, is crucial to the planning and evaluation of public…

Methodology · Statistics 2018-08-14 Daniela De Angelis , Anne M. Presanis

The COVID-19 pandemic has been characterised by multiple waves of transmission driven by interventions and emerging variants, challenging epidemic models that assume gradually evolving transmission dynamics. We propose a class of…

Applications · Statistics 2026-05-05 Patrick Aschermayr , Konstantinos Kalogeropoulos , Nikolaos Demiris

Inferring how an epidemic will progress and what actions to take when presented with limited information is of critical importance for epidemiologists and health professionals. In real world settings, epidemiology data can be scarce or…

Computation · Statistics 2022-11-02 Georgios Efstathiadis

Parameter inference and state estimation in stochastic and partially observed biological systems remain major problems in mathematical biology. In this work, we introduce a two-dimensional lattice graph model for the spread of infectious…

Quantitative Methods · Quantitative Biology 2026-05-29 Ihtisham Ul Haq , Serge Richard

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…

Epidemic models often reflect characteristic features of infectious spreading processes by coupled non-linear differential equations considering different states of health (such as Susceptible, Infected, or Recovered). This compartmental…

Physics and Society · Physics 2021-12-01 Vaiva Vasiliauskaite , Nino Antulov-Fantulin , Dirk Helbing

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

We propose a generative model and an inference scheme for epidemic processes on dynamic, adaptive contact networks. Network evolution is formulated as a link-Markovian process, which is then coupled to an individual-level stochastic SIR…

Methodology · Statistics 2020-04-07 Fan Bu , Allison E. Aiello , Jason Xu , Alexander Volfovsky

Numerous studies have attempted to model the effect of mass media on the transmission of diseases such as influenza, however quantitative data on media engagement has until recently been difficult to obtain. With the recent explosion of…

Social and Information Networks · Computer Science 2016-09-28 Lewis Mitchell , Joshua V. Ross

Accurate and representative data is vital for precisely reporting the impact of influenza in healthcare systems. Northern hemisphere winter 2022/23 experienced the most substantial influenza wave since the COVID-19 pandemic began in 2020.…

Populations and Evolution · Quantitative Biology 2023-10-26 Jonathon Mellor , Rachel Christie , James Guilder , Robert S Paton , Suzanne Elgohari , Conall Watson , Sarah Deeny , Thomas Ward

Mathematical models in ecology and epidemiology must be consistent with observed data in order to generate reliable knowledge and evidence-based policy. Metapopulation systems, which consist of a network of connected sub-populations, pose…

Applications · Statistics 2024-02-07 Jifan Li , Edward L. Ionides , Aaron A. King , Mercedes Pascual , Ning Ning
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