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A network epidemic model is studied. The underlying social network has two different types of group structures, households and workplaces, such that each individual belongs to exactly one household and one workplace. The random network is…

Probability · Mathematics 2024-10-10 Frank Ball , Tom Britton , Peter Neal

Human to human transmissible infectious diseases spread in a population using human interactions as its transmission vector. The early stages of such an outbreak can be modeled by a graph whose edges encode these interactions between…

Populations and Evolution · Quantitative Biology 2020-06-11 Goncalo Oliveira

Network autocorrelation models have been widely used for decades to model the joint distribution of the attributes of a network's actors. This class of models can estimate both the effect of individual characteristics as well as the network…

Methodology · Statistics 2020-05-20 Daniel K. Sewell

This paper assesses the empirical content of one of the most prevalent assumptions in the economics of networks literature, namely the assumption that decision makers have full knowledge about the networks they interact on. Using network…

Physics and Society · Physics 2018-02-23 Emily Breza , Arun G. Chandrasekhar , Alireza Tahbaz-Salehi

Individual contributions to the spread of an epidemic vary widely due to an individual's location in a social network and their intrinsic ability to spread or contract diseases. While the effect of heterogeneous population structure and…

Populations and Evolution · Quantitative Biology 2026-05-14 Abhay Gupta , Nicholas W. Landry

We consider a stochastic epidemic model with sideward contact tracing. We assume that infection is driven by interactions within mixing events (gatherings of two or more individuals). Once an infective is diagnosed, each individual who was…

Populations and Evolution · Quantitative Biology 2025-03-28 Dongni Zhang , Martina Favero

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

Understanding infectious disease spread remains a critical public health challenge, particularly given the interplay between household dynamics and community transmission patterns. Traditional epidemiological models often oversimplify these…

Populations and Evolution · Quantitative Biology 2026-01-21 Houda Yaqine , Christiane Fuchs

We propose a network behavioral-feedback Susceptible-Infected-Recovered (SIR) epidemic model in which the interaction matrix describing the infection rates across subpopulations depends in feedback on the current epidemic state. This model…

Dynamical Systems · Mathematics 2025-07-08 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani

In recent years, numerous advances have been made in understanding how epidemic dynamics is affected by changes in individual behaviours. We propose an SIS-based compartmental model to tackle the simultaneous and coupled evolution of an…

Physics and Society · Physics 2025-11-04 Giulia de Meijere , Hugo Martin

Epidemiological dynamics are affected by the spatial and demographic structure of the host population. Households and neighbourhoods are known to be important groupings but little is known about the epidemiological interplay between them.…

Populations and Evolution · Quantitative Biology 2024-12-12 Abby Barlow , Ben Adams , Sarah Penington

In regard to infectious diseases socioeconomic determinants are strongly associated with differential exposure and susceptibility however they are seldom accounted for by standard compartmental infectious disease models. These associations…

Applications · Statistics 2022-11-28 Alison C Hale , Jonathan M Read , Christopher P Jewell

Each stage of the human life course is characterized by a distinctive pattern of social relations. We study how the intensity and importance of the closest social contacts vary across the life course, using a large database of mobile…

This study leverages large-scale travel surveys for over 200,000 residents across Boston, Chicago, Hong Kong, London, and Sao Paulo. With rich individual-level data, we make systematic comparisons and reveal patterns in social mixing, which…

Artificial Intelligence · Computer Science 2026-04-15 Z. Fan , B. P. Y. Loo , F. Duarte , C. Ratti , E. Moro

Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing data using the available information. This versatile approach…

A social (sexual) network is modeled by an extension of the configuration model to the situation where edges have weights, e.g. reflecting the number of sex-contacts between the individuals. An epidemic model is defined on the network such…

Probability · Mathematics 2011-12-21 Tom Britton , David Lindenstrand

We predict the future course of ongoing susceptible-infected-susceptible (SIS) epidemics on regular, Erd\H{o}s-R\'{e}nyi and Barab\'asi-Albert networks. It is known that the contact network influences the spread of an epidemic within a…

Populations and Evolution · Quantitative Biology 2021-11-11 Tanja Zerenner , Francesco Di Lauro , Masoumeh Dashti , Luc Berthouze , Istvan Z. Kiss

Many fundamental concepts in network-based epidemic modeling depend on the branching factor, which captures a sense of dispersion in the network connectivity and quantifies the rate of spreading across the network. Moreover, contact network…

Methodology · Statistics 2020-10-14 Wenrui Li , Daniel L. Sussman , Eric D. Kolaczyk

Infectious diseases often spread faster near their peak than would be predicted given early data on transmission. Despite the commonality of this phenomena, there are no known general mechanisms able to cause an exponentially spreading dis-…

Quantitative Methods · Quantitative Biology 2017-07-06 Samuel V. Scarpino , Antoine Allard , Laurent Hebert-Dufresne

Infectious diseases are studied to understand their spreading mechanisms, to evaluate control strategies and to predict the risk and course of future outbreaks. Because people only interact with a small number of individuals, and because…

Applications · Statistics 2018-09-05 Ritabrata Dutta , Antonietta Mira , Jukka-Pekka Onnela
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