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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

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

While machine learning is rapidly being developed and deployed in health settings such as influenza prediction, there are critical challenges in using data from one environment in another due to variability in features; even within disease…

机器学习 · 统计学 2020-03-10 Vishwali Mhasawade , Nabeel Abdur Rehman , Rumi Chunara

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

机器学习 · 统计学 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

数值分析 · 数学 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

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…

定量方法 · 定量生物学 2026-05-29 Ihtisham Ul Haq , Serge Richard

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

Before the current pandemic, influenza and respiratory syncytial virus (RSV) were the leading etiological agents of seasonal acute respiratory infections (ARI) around the world. In this setting, medical doctors typically based the diagnosis…

应用统计 · 统计学 2022-02-21 Oksana A. Chkrebtii , Yury E. García , Marcos A. Capistrán , Daniel E. Noyola

The COVID-19 pandemic has highlighted the importance of in-silico epidemiological modelling in predicting the dynamics of infectious diseases to inform health policy and decision makers about suitable prevention and containment strategies.…

Influenza and respiratory syncytial virus (RSV) are the leading etiological agents of seasonal acute respiratory infections (ARI) around the world. Medical doctors typically base the diagnosis of ARI on patients' symptoms alone and do not…

In this paper, we study how interactions between populations impact epidemic spread. We extend the classical SEIR model to include both integration-based disease transmission simulation and population flow. Our model differs from existing…

物理与社会 · 物理学 2021-07-02 Lauren Streitmatter , Peter Zhang

Mathematical models in epidemiology are an indispensable tool to determine the dynamics and important characteristics of infectious diseases. Apart from their scientific merit, these models are often used to inform political decisions and…

Population heterogeneity is a key factor in epidemic dynamics, influencing both transmission and final epidemic size. While heterogeneity is often modelled through age structure, spatial location, or contact patterns, differences in host…

种群与进化 · 定量生物学 2026-01-26 Tamás Tekeli , Andrea Pugliese , Cinzia Soresina

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…

统计方法学 · 统计学 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

This paper presents a state estimation-based robust optimal control strategy for influenza epidemics in an interactive human society in the presence of modeling uncertainties. Interactive society is influenced by the random entrance of…

系统与控制 · 电气工程与系统科学 2020-11-12 Vahid Azimi , Mojtaba Sharifi , Seyed Fakoorian , Thang Tien Nguyen , Van Van Huynh

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

统计方法学 · 统计学 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

定量方法 · 定量生物学 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

社会与信息网络 · 计算机科学 2016-05-12 Shohreh Shaghaghian , Mark Coates

This paper develops a Bayesian graphical model for fusing disparate types of count data. The motivating application is the study of bacterial communities from diverse high dimensional features, in this case transcripts, collected from…

This paper investigates the spread of infectious diseases within a networked community by integrating epidemic transmission and public opinion dynamics. We propose a novel discrete-time networked SIS (Susceptible-Infectious-Susceptible)…

系统与控制 · 电气工程与系统科学 2025-08-14 Qiulin Xu , Tatsuya Masada , Hideaki Ishii