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Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

Network immunization is an extensively recognized issue in several domains like virtual network security, public health and social media, to deal with the problem of node inoculation so as to minimize the transmission through the links…

Social and Information Networks · Computer Science 2019-01-03 Chandni Saxena , M. N. Doja , Tanvir Ahmad

We consider the problem of controlling the spread of harmful items in networks, such as the contagion proliferation of diseases or the diffusion of fake news. We assume the linear threshold model of diffusion where each node has a threshold…

Computational Complexity · Computer Science 2021-02-09 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

Compartmental models of epidemics are widely used to forecast the effects of communicable diseases such as COVID-19 and to guide policy. Although it has long been known that such processes take place on social networks, the assumption of…

Physics and Society · Physics 2024-03-14 Samuel Johnson

In this work, we present an approach called Disease Informed Neural Networks (DINNs) that can be employed to effectively predict the spread of infectious diseases. This approach builds on a successful physics informed neural network…

Machine Learning · Computer Science 2022-08-26 Sagi Shaier , Maziar Raissi , Padmanabhan Seshaiyer

In recent years, epidemic modeling in complex networks has found many applications, including modeling of information or gossip spread in online social networks, modeling of malware spread in communication networks, and the most recent…

Social and Information Networks · Computer Science 2024-11-25 Aybike Şimşek

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

Background: Network-based interventions are most powerful against epidemics when the full network structure is known. However, resource constraints often require decisions based on partial network data. We investigated how the effectiveness…

Populations and Evolution · Quantitative Biology 2018-03-30 Yingrui Yang , Ashley McKhann , Guy Harling , Jukka-Pekka Onnela

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

The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to…

Dynamical Systems · Mathematics 2021-07-26 Hannah Scanlon , John Gemmer

We introduce an epidemic spreading model on a network using concepts from percolation theory. The model is motivated by discussing the standard SIR model, with extensions to describe effects of lockdowns within a population. The underlying…

Physics and Society · Physics 2020-08-26 Fabrizio Croccolo , H. Eduardo Roman

Epidemic propagation on networks represents an important departure from traditional massaction models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using…

Quantitative Methods · Quantitative Biology 2023-02-07 István Z. Kiss , Luc Berthouze , Wasiur R. KhudaBukhsh

The way diseases spread through schools, epidemics through countries, and viruses through the Internet is crucial in determining their risk. Although each of these threats has its own characteristics, its underlying network determines the…

Physics and Society · Physics 2011-12-20 Christian M. Schneider , Tamara Mihaljev , Shlomo Havlin , Hans J. Herrmann

The ranking of nodes in a network according to their ``importance'' is a classic problem that has attracted the interest of different scientific communities in the last decades. The current COVID-19 pandemic has recently rejuvenated the…

We consider the edge-based compartmental models for infectious disease spread introduced in Part I. These models allow us to consider standard SIR diseases spreading in random populations. In this paper we show how to handle deviations of…

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

We present a strategy for designing fast methods of response to cyber attacks and infection spread on complex weighted networks. In these networks, nodes can be interpreted as primitive elements of the system, and weighted edges reflect the…

Social and Information Networks · Computer Science 2015-03-20 Sven Leyffer , Ilya Safro

A more connected world has brought major consequences such as facilitate the spread of diseases all over the world to quickly become epidemics, reason why researchers are concentrated in modeling the propagation of epidemics and outbreaks…

Physics and Society · Physics 2015-10-28 Lucila G. Alvarez Zuzek , Camila Buono , Lidia A. Braunstein

In the study of disease spreading on empirical complex networks in SIR model, initially infected nodes can be ranked according to some measure of their epidemic impact. The highest ranked nodes, also referred to as "superspreaders", are…

Physics and Society · Physics 2014-07-16 Mile Sikic , Alen Lancic , Nino Antulov-Fantulin , Hrvoje Stefancic

The problem of targeted network immunization can be defined as the one of finding a subset of nodes in a network to immunize or vaccinate in order to minimize a tradeoff between the cost of vaccination and the final (stationary) expected…

Physics and Society · Physics 2015-07-10 F. Altarelli , A. Braunstein , L. Dall'Asta , J. R. Wakeling , R. Zecchina

Using the SIS model on unweighted and weighted networks, we consider the disease localization phenomenon. In contrast to the well-recognized point of view that diseases infect a finite fraction of vertices right above the epidemic…

Physics and Society · Physics 2015-06-04 A. V. Goltsev , S. N. Dorogovtsev , J. G. Oliveira , J. F. F. Mendes