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Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic models are considered more realistic, yet are complicated to estimate due to missing data. In this paper we present a novel…

统计计算 · 统计学 2022-06-22 Shuying Wang , Stephen G. Walker

Forecasts of hospitalisations of infectious diseases play an important role for allocating healthcare resources during epidemics and pandemics. Large-scale analysis of model forecasts during the COVID-19 pandemic has shown that the model…

种群与进化 · 定量生物学 2025-05-20 Grégoire Béchade , Torbjörn Lundh , Philip Gerlee

The widely used susceptible-infected-recovered (S-I-R) epidemic model assumes a uniform, well-mixed population, and incorporation of spatial heterogeneities remains a major challenge. Understanding failures of the mixing assumption is…

软凝聚态物质 · 物理学 2024-04-23 P. Forgacs , A. Libal , C. Reichhardt , N. Hengartner , C. J. O. Reichhardt

Traditional epidemic detection algorithms make decisions using only local information. We propose a novel approach that explicitly models spatial information fusion from several metapopulations. Our method also takes into account…

统计计算 · 统计学 2015-09-15 Michael Ludkovski , Katherine Shatskikh

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

The advantages of sequential Monte Carlo (SMC) are exploited to develop parameter estimation and model selection methods for GARCH (Generalized AutoRegressive Conditional Heteroskedasticity) style models. It provides an alternative method…

应用统计 · 统计学 2020-03-06 Dan Li , Adam Clements , Christopher Drovandi

Hawkes processes are often applied to model dependence and interaction phenomena in multivariate event data sets, such as neuronal spike trains, social interactions, and financial transactions. In the nonparametric setting, learning the…

统计理论 · 数学 2023-09-04 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

We propose an SEIR-type meta-population model to simulate and monitor the Covid-19 epidemic evolution. The basic model consists of seven compartments, namely susceptible (S), exposed (E), three infective classes, recovered (R), and deceased…

种群与进化 · 定量生物学 2020-11-18 Vinicius V. L. Albani , Roberto M. Velho , Jorge P. Zubelli

Stochastic infectious disease models capture uncertainty in public health outcomes and have become increasingly popular in epidemiological practice. However, calibrating these models to observed data is challenging with existing methods for…

统计方法学 · 统计学 2024-12-18 Prayag Chatha , Fan Bu , Jeffrey Regier , Evan Snitkin , Jon Zelner

Susceptible-Exposed-Infectious-Recovered (SEIR) models with inter-individual variation in susceptibility or exposure to infection were proposed early in the COVID-19 pandemic as a potential element of the mathematical/statistical toolset…

应用统计 · 统计学 2025-10-28 Ibrahim Mohammed , Chris Robertson , M. Gabriela M. Gomes

Computational models for the simulation of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) epidemic evolution would be extremely useful to support authorities in designing healthcare policies and lockdown measures to…

种群与进化 · 定量生物学 2020-04-20 Marco Paggi

Standard epidemic models based on compartmental differential equations are investigated under continuous parameter change as external forcing. We show that seasonal modulation of the contact parameter superimposed a monotonic decay needs a…

种群与进化 · 定量生物学 2020-08-13 Tamás Kovács

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

A new approach to Dynamical Monte Carlo Methods is introduced to simulate markovian processes. We apply this approach to formulate and study an epidemic Generalized SIRS model. The results are in excellent agreement with the forth order…

计算物理 · 物理学 2009-11-07 O. E. Aiello , Marco A. A. da Silva

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

种群与进化 · 定量生物学 2021-02-09 Luis E C Rocha , Naoki Masuda

This lecture note provides a self-contained introduction to Bayesian inference and Markov Chain Monte Carlo (MCMC) methods for parameter estimation in epidemic models. Using the classical Susceptible-Infectious-Recovered (SIR) compartmental…

统计方法学 · 统计学 2026-03-18 Augustine Okolie

We propose an effective method to solve the event sequence clustering problems based on a novel Dirichlet mixture model of a special but significant type of point processes --- Hawkes process. In this model, each event sequence belonging to…

机器学习 · 计算机科学 2017-09-22 Hongteng Xu , Hongyuan Zha

During the first months, the Covid-19 pandemic has required most countries to implement complex sequences of non-pharmaceutical interventions, with the aim of controlling the transmission of the virus in the population. To be able to take…

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

种群与进化 · 定量生物学 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

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