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We study an individual-based stochastic SIR epidemic model with infection-age dependent infectivity on a large random graph, capturing individual heterogeneity and non-homogeneous connectivity. Each individual is associated with particular…

Probability · Mathematics 2026-02-11 Guodong Pang , Étienne Pardoux , Aurélien Velleret

In a traditional Gaussian graphical model, data homogeneity is routinely assumed with no extra variables affecting the conditional independence. In modern genomic datasets, there is an abundance of auxiliary information, which often gets…

Methodology · Statistics 2023-08-16 Yabo Niu , Yang Ni , Debdeep Pati , Bani K. Mallick

Social distancing can be described as an effort to maintain a physical distance between individuals and has become a necessary public health measure to combat cornoavirus disease 2019 (COVID-19). Social distancing is known to weaken…

Methodology · Statistics 2020-04-21 Jonathan R. Bradley

Metapopulation models are commonly used in ecology, evolution, and epidemiology. These models usually entail homogeneity assumptions within patches and study networks of migration between patches to generate insights into conservation of…

Populations and Evolution · Quantitative Biology 2025-06-06 Diepreye Ayabina , Hasan Sevil , Adam Kleczkowski , M. Gabriela M. Gomes

We study the impact of contact heterogeneity on epidemic dynamics. A system characterized by multiple susceptible populations is considered. The description of the spread of an infectious disease is obtained through the study of a system of…

Physics and Society · Physics 2021-11-11 Andrea Medaglia , Mattia Zanella

We consider the spread of infectious disease through contact networks of Configuration Model type. We assume that the disease spreads through contacts and infected individuals recover into an immune state. We discuss a number of existing…

Populations and Evolution · Quantitative Biology 2014-03-11 Joel C Miller , Istvan Z Kiss

Contagion processes in social systems often involve interactions that go beyond pairwise contacts. Higher-order networks, represented as hypergraphs, have been widely used to model multi-body interactions, and their presence can drastically…

Physics and Society · Physics 2026-01-26 Andrés Guzmán , Federico Malizia , István Z. Kiss

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…

Applications · Statistics 2009-08-17 Tom Britton , Theodore Kypraios , Philip O'Neill

The outbreak of a pandemic, such as COVID-19, causes major health crises worldwide. Typical measures to contain the rapid spread usually include effective vaccination and strict interventions (Nature Human Behaviour, 2021). Motivated by…

Social and Information Networks · Computer Science 2025-03-31 Gargi Bakshi , Sujoy Bhore , Suraj Shetiya

Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model is a popular…

Populations and Evolution · Quantitative Biology 2017-01-23 Frank Ball , Thomas House

Community detection is the task of clustering objects based on their pairwise relationships. Most of the model-based community detection methods, such as the stochastic block model and its variants, are designed for networks with binary…

Machine Learning · Statistics 2024-12-06 Xiang Li , Yunpeng Zhao , Qing Pan , Ning Hao

Mobile health (mHealth) leverages digital technologies, such as mobile phones, to capture objective, frequent, and real-world digital phenotypes from individuals, enabling the delivery of tailored interventions to accommodate substantial…

Methodology · Statistics 2026-03-24 Xingche Guo , Zexi Cai , Yuanjia Wang , Donglin Zeng

In this paper, we present a simple method to integrate risk-contact data, obtained via digital contact monitoring (DCM) apps, in conventional compartmental transmission models. During the recent COVID-19 pandemic, many such data have been…

Disease progression models are widely used to inform the diagnosis and treatment of many progressive diseases. However, a significant limitation of existing models is that they do not account for health disparities that can bias the…

Machine Learning · Computer Science 2025-05-01 Erica Chiang , Divya Shanmugam , Ashley N. Beecy , Gabriel Sayer , Deborah Estrin , Nikhil Garg , Emma Pierson

Physical contacts result in the spread of various phenomena such as viruses, gossips, ideas, packages and marketing pamphlets across a population. The spread depends on how people move and co-locate with each other, or their mobility…

Social and Information Networks · Computer Science 2021-12-20 Sepanta Zeighami , Cyrus Shahabi , John Krumm

We address the problem of modeling constrained hospital resources in the midst of the COVID-19 pandemic in order to inform decision-makers of future demand and assess the societal value of possible interventions. For broad applicability, we…

While most existing epidemic models focus on the influence of isolated factors, infectious disease transmission is inherently shaped by the complex interplay of multiple interacting elements. To better capture real-world dynamics, it is…

Physics and Society · Physics 2025-04-18 Guangyuan Mei , Yao Cai , Su-Su Zhang , Ying Huang , Chuang Liu , Xiu-Xiu Zhan

It is the main purpose of this paper to introduce a graph-valued stochastic process in order to model the spread of a communicable infectious disease. The major novelty of the SIR model we promote lies in the fact that the social network on…

Applications · Statistics 2014-02-06 Charanpal Dhanjal , Stéphan Clémençon

The primary tool for predicting infectious disease spread and intervention effectiveness is the mass action Susceptible-Infected-Recovered model of Kermack and McKendrick. Its usefulness derives largely from its conceptual and mathematical…

Populations and Evolution · Quantitative Biology 2015-09-03 Joel C. Miller , Anja C. Slim , Erik M. Volz

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…