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This paper is a survey paper on stochastic epidemic models. A simple stochastic epidemic model is defined and exact and asymptotic model properties (relying on a large community) are presented. The purpose of modelling is illustrated by…

概率论 · 数学 2009-11-05 Tom Britton

At the onset of the Covid-19 pandemic, a number of non-pharmaceutical interventions have been implemented in order to reduce transmission, thus leading to multiple phases of transmission. The disease reproduction number $R_t$, a way of…

应用统计 · 统计学 2023-05-03 Petros Barmpounakis , Nikolaos Demiris

Background: Recently developed techniques to study the spread of infectious diseases through networks make assumptions that the initial proportion infected is infinitesimal and the population behavior is static throughout the epidemic. The…

种群与进化 · 定量生物学 2012-08-17 Joel C. Miller

The prediction interval has been increasingly used in meta-analyses as a useful measure for assessing the magnitude of treatment effect and between-studies heterogeneity. In calculations of the prediction interval, although the…

统计方法学 · 统计学 2021-07-14 Yuta Hamaguchi , Hisashi Noma , Kengo Nagashima , Tomohide Yamada , Toshi A. Furukawa

Epidemic models are always simplifications of real world epidemics. Which real world features to include, and which simplifications to make, depend both on the disease of interest and on the purpose of the modelling. In the present paper we…

概率论 · 数学 2008-12-19 Tom Britton , David Lindenstrand

A stochastic epidemic model is defined in which each individual belongs to a household, a secondary grouping (typically school or workplace) and also the community as a whole. Moreover, infectious contacts take place in these three settings…

应用统计 · 统计学 2009-08-17 Tom Britton , Theodore Kypraios , Philip O'Neill

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating the basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less…

种群与进化 · 定量生物学 2022-11-23 Alexander F. Siegenfeld , Pratyush K. Kollepara , Yaneer Bar-Yam

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…

统计方法学 · 统计学 2021-09-20 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

The estimation of unknown parameters in simulations, also known as calibration, is crucial for practical management of epidemics and prediction of pandemic risk. A simple yet widely used approach is to estimate the parameters by minimizing…

统计方法学 · 统计学 2023-06-26 Chih-Li Sung , Ying Hung

The acute phase of the Covid-19 pandemic has made apparent the need for decision support based upon accurate epidemic modeling. This process is substantially hampered by under-reporting of cases and related data incompleteness issues. In…

应用统计 · 统计学 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris

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…

定量方法 · 定量生物学 2011-10-24 Alex Skvortsov , Branko Ristic

Epidemics are inherently stochastic, and stochastic models provide an appropriate way to describe and analyse such phenomena. Given temporal incidence data consisting of, for example, the number of new infections or removals in a given time…

统计方法学 · 统计学 2024-05-24 Sam A. Whitaker , Andrew Golightly , Colin S. Gillespie , Theodore Kypraios

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

动力系统 · 数学 2025-11-27 Christian Parkinson , Weinan Wang

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,…

应用统计 · 统计学 2012-11-06 Joseph Dureau , Konstantinos Kalogeropoulos , Marc Baguelin

As the coronavirus disease 2019 (COVID-19) has shown profound effects on public health and the economy worldwide, it becomes crucial to assess the impact on the virus transmission and develop effective strategies to address the challenge. A…

应用统计 · 统计学 2022-05-12 Chih-Li Sung

Marginal structural models are a popular method for estimating causal effects in the presence of time-varying exposures. In spite of their popularity, no scalable non-parametric estimator exist for marginal structural models with…

统计方法学 · 统计学 2024-09-30 Axel Martin , Michele Santacatterina , Iván Díaz

Epidemic spread in a population is traditionally modeled via compartmentalized models which represent the free evolution of disease in absence of any intervention policies. In addition, these models assume full observability of disease…

种群与进化 · 定量生物学 2021-06-16 Nitin Kamra , Yizhou Zhang , Sirisha Rambhatla , Chuizheng Meng , Yan Liu

Short-term forecasts of infectious disease spread are a critical component in risk evaluation and public health decision making. While different models for short-term forecasting have been developed, open questions about their relative…

Global pandemics, such as the recent COVID-19 crisis, highlight the need for stochastic epidemic models that can capture the randomness inherent in the spread of disease. Such models must be accompanied by methods for estimating parameters…

定量方法 · 定量生物学 2026-04-13 Vincent Wieland , Nils Wassmuth , Lorenzo Contento , Martin Kühn , Jan Hasenauer

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…

统计计算 · 统计学 2022-11-02 Georgios Efstathiadis