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Given the growth of urbanization and emerging pandemic threats, more sophisticated models are required to understand disease propagation and investigate the impacts of intervention strategies across various city types. We introduce a fully…

Physics and Society · Physics 2020-08-03 Nishant Kumar , Jimi B. Oke , Bat-hen Nahmias-Biran

In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of…

Probability · Mathematics 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

Physics and Society · Physics 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

This paper presents a detailed mathematical investigation into the dynamics of COVID-19 infections through extended Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological models. By…

Populations and Evolution · Quantitative Biology 2025-05-21 Caleb Traxler , Minh Ton , Nameer Ahmed , Sasha Prostota , Annie Cheng

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

The last decade saw the advent of increasingly realistic epidemic models that leverage on the availability of highly detailed census and human mobility data. Data-driven models aim at a granularity down to the level of households or single…

Populations and Evolution · Quantitative Biology 2011-08-10 Nicola Perra , Duygu Balcan , Bruno Gonçalves , Alessandro Vespignani

The contact process is an emblematic model of a non-equilibrium system, containing a phase transition between inactive and active dynamical regimes. In the epidemiological context, the model is known as the susceptible-infected-susceptible…

Statistical Mechanics · Physics 2023-05-12 Wout Merbis , Clélia de Mulatier , Philippe Corboz

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

Methodology · Statistics 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

Network epidemiology's most important assumption is that the contact structure over which infectious diseases propagate can be represented as a static network. However, contacts are highly dynamic, changing at many time scales. In this…

Physics and Society · Physics 2015-06-12 Petter Holme

We present a general framework for adaptive allocation of viral tests in social contact networks. We pose and solve several complementary problems. First, we consider the design of a social sensing system whose objective is the early…

Social and Information Networks · Computer Science 2020-11-05 Pau Batlle , Joan Bruna , Carlos Fernandez-Granda , Victor M. Preciado

Dynamic temporal graphs represent evolving relations between entities, e.g. interactions between social network users or infection spreading. We propose an extension of graph echo state networks for the efficient processing of dynamic…

Machine Learning · Computer Science 2022-10-31 Domenico Tortorella , Alessio Micheli

During the COVID-19 pandemic, a major driver of new surges has been the emergence of new variants. When a new variant emerges in one or more countries, other nations monitor its spread in preparation for its potential arrival. The impact of…

Populations and Evolution · Quantitative Biology 2024-12-30 Majd Al Aawar , Srikar Mutnuri , Mansooreh Montazerin , Ajitesh Srivastava

Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this paper, we propose a multi-region SEIR model based on stochastic differential game theory,…

Optimization and Control · Mathematics 2021-03-10 Yao Xuan , Robert Balkin , Jiequn Han , Ruimeng Hu , Hector D. Ceniceros

Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

It is a fundamental question in epidemiology to estimate, model and predict the growth rate of a pandemic. Analogously, analysing the diffusion of innovation, (fake) news, memes, and rumours is of key importance in the social sciences. The…

Probability · Mathematics 2026-04-30 Zylan Benjert , Júlia Komjáthy , Johannes Lengler , John Lapinskas , Ulysse Schaller

We consider a susceptible-infected-susceptible (SIS) epidemic model in which a large group of individuals decide whether to adopt partially effective protection without being aware of their individual infection status. Each individual…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Urmee Maitra , Ashish R. Hota , Philip E. Paré

Models of epidemics over networks have become popular, as they describe the impact of individual behavior on infection spread. However, they come with high computational complexity, which constitutes a problem in case large-scale scenarios…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Davide Zorzenon , Fabio Molinari , Joerg Raisch

Contact tracing has been extensively studied from different perspectives in recent years. However, there is no clear indication of why this intervention has proven effective in some epidemics (SARS) and mostly ineffective in some others…

Social and Information Networks · Computer Science 2021-03-01 Quyu Kong , Manuel Garcia-Herranz , Ivan Dotu , Manuel Cebrian

The recent COVID-19 pandemic has promoted vigorous scientific activity in an effort to understand, advice and control the pandemic. Data is now freely available at a staggering rate worldwide. Unfortunately, this unprecedented level of…

Applications · Statistics 2024-01-31 Yuansan Liu , Saransh Srivastava , Zuo Huang , Felisa J. Vázquez-Abad

The global spread of pandemics is facilitated by the mobility of populations, transforming localized infections into widespread phenomena. To contain it, timely identification of influential regions that accelerate this process is…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Sudeepini Darapu , Subrata Ghosh , Dibakar Ghosh , Chittaranjan Hens , Santosh Nannuru