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Controlling and understanding epidemic outbreaks has recently drawn great interest in a large spectrum of research communities. Vaccination is one of the most well-established and effective strategies in order to contain an epidemic. In the…

Social and Information Networks · Computer Science 2023-05-29 Sourin Chatterjee , Ahad N. Zehmakan

In this work, we use the spectral properties of graphons to study stability and sensitivity to noise of deterministic SIS epidemics over large networks. We consider the presence of additive noise in a linearized SIS model and we derive a…

Systems and Control · Electrical Eng. & Systems 2020-01-31 Renato Vizuete , Paolo Frasca , Federica Garin

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 investigate an SIR model of epidemic propagation on networks in the context of mean-field games. In a real epidemic, individuals adjust their behavior depending on the epidemic level and the impact it might have on them in the future.…

Physics and Society · Physics 2025-01-27 Louis Bremaud , Olivier Giraud , Denis Ullmo

Disease spread in most biological populations requires the proximity of agents. In populations where the individuals have spatial mobility, the contact graph is generated by the "collision dynamics" of the agents, and thus the evolution of…

Physics and Society · Physics 2007-06-07 Z. Toroczkai , H. Guclu

When modelling epidemics or spread of information on online social networks, it is crucial to include not just the density of the connections through which infections can be transmitted, but also the variability of susceptibility. Different…

Physics and Society · Physics 2020-02-18 Ágnes Backhausz , Edit Bognár

Exploiting the power of the expectation operator and indicator (or Bernoulli) random variables, we present the exact governing equations for both the SIR and SIS epidemic models on \emph{networks}. Although SIR and SIS are basic epidemic…

Dynamical Systems · Mathematics 2014-02-10 Piet Van Mieghem

We study a coupled epidemic-mobility model in which, at each time, individuals move in a network of spatially-distributed regions (sub-populations) according to a Continuous Time Markov Chain (CTMC) and subsequently interact with the local…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Vishal Abhishek , Vaibhav Srivastava

Infectious diseases typically spread over a contact network with millions of individuals, whose sheer size is a tremendous challenge to analysing and controlling an epidemic outbreak. For some contact networks, it is possible to group…

Physics and Society · Physics 2021-07-23 Bastian Prasse , Karel Devriendt , Piet Van Mieghem

In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

Physics and Society · Physics 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco

Since 1927, until recently, models describing the spread of disease have mostly been of the SIR-compartmental type, based on the assumption that populations are homogeneous and well-mixed. The focus of these models have typically been on…

Physics and Society · Physics 2014-07-23 Lara Goscé , David A W Barton , Anders Johansson

The history of infections and epidemics holds famous examples where understanding, containing and ultimately treating an outbreak began with understanding its mode of spread. Influenza, HIV and most computer viruses, spread person to…

Social and Information Networks · Computer Science 2013-09-26 Chris Milling , Constantine Caramanis , Shie Mannor , Sanjay Shakkottai

Dynamic properties of spreading infection through a heterogeneous population are studied numerically and analytically using a dynamic variant of Watts and Strogatz Small World Network-based stochastic Susceptible-Exposed-Infectious-Removed…

Populations and Evolution · Quantitative Biology 2019-06-28 O. Mosbah , N. Zekri , M. Mokhtari , S. Sahraoui

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

How does social distancing affect the reach of an epidemic in social networks? We present Monte Carlo simulation results of a capacity constrained Susceptible-Infected-Removed (SIR) model. The key modelling feature is that individuals are…

Populations and Evolution · Quantitative Biology 2021-03-08 Gregory Gutin , Tomohiro Hirano , Sung-Ha Hwang , Philip R. Neary , Alexis Akira Toda

In a metapopulation network, infectious diseases spread widely because of the travel of individuals. In the present study, we consider a modified metapopulation Susceptible-Infected-Removed (SIR) model with a latent period, which we call…

Physics and Society · Physics 2017-08-02 Kazue Kudo , Kanako Mizuno

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

This paper is concerned with the growth rate of SIR (Susceptible-Infectious-Recovered) epidemics with general infectious period distribution on random intersection graphs. This type of graph is characterized by the presence of cliques…

Probability · Mathematics 2025-08-13 Carolina Fransson

Epidemic prediction is a fundamental task for epidemic control and prevention. Many mechanistic models and deep learning models are built for this task. However, most mechanistic models have difficulty estimating the time/region-varying…

Computers and Society · Computer Science 2023-06-28 Qi Cao , Renhe Jiang , Chuang Yang , Zipei Fan , Xuan Song , Ryosuke Shibasaki

We present a stochastic model for two successive SIR (Susceptible, Infectious, Recovered) epidemics in the same network structured population. Individuals infected during the first epidemic might have (partial) immunity for the second one.…

Populations and Evolution · Quantitative Biology 2024-10-29 Frank Ball , Abid Ali Lashari , David Sirl , Pieter Trapman