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We study the SIR model of epidemics on positively correlated heterogeneous networks with population variability, and explore the dependence of the final outbreak size on the network heterogeneity strength and basic reproduction number $R_0$…

Statistical Mechanics · Physics 2023-06-16 Alexander Leibenzon , Michael Assaf

We first propose a quantitative approach to detect high risk outbreaks of independent and coinfective SIR dynamics on three empirical networks: a school, a conference and a hospital contact network. This measurement is based on the k-means…

Populations and Evolution · Quantitative Biology 2021-09-15 Sina Sajjadi , Mohammad Reza Ejtehadi , Fakhteh Ghanbarnejad

We study a simple model of epidemics where an infected node transmits the infection to its neighbors independently with probability $p$. This is also known as the independent cascade or Susceptible-Infected-Recovered (SIR) model with fixed…

Data Structures and Algorithms · Computer Science 2021-10-19 Yeganeh Alimohammadi , Christian Borgs , Amin Saberi

As the world grows increasingly connected, infectious disease transmission and outbreaks have become a pressing global concern for public health officials and policymakers. While policy interventions to contain and prevent the spread of…

Probability · Mathematics 2026-05-07 Christian Borgs , Karissa Huang , Geng Zhao

Network properties govern the rate and extent of spreading processes on networks, from simple contagions to complex cascades. Recent advances have extended the study of spreading processes from static networks to temporal networks, where…

Physics and Society · Physics 2019-11-05 Eun Lee , James Moody , Peter J. Mucha

The robustness of human social networks against epidemic propagation relies on the propensity for physical contact adaptation. During the early phase of infection, asymptomatic carriers exhibit the same activity level as susceptible…

Social and Information Networks · Computer Science 2024-03-04 Masoumeh Moradian , Aresh Dadlani , Rasul Kairgeldin , Ahmad Khonsari

The aim of the study was to compare the epidemic spread on static and dynamic small-world networks. The network was constructed as a 2-dimensional Watts-Strogatz model (500x500 square lattice with additional shortcuts), and the dynamics…

Physics and Society · Physics 2011-06-28 J. K. Ochab , P. F. Góra

We propose an SIR epidemic model coupled with opinion dynamics to study an epidemic and opinions spreading in a network of communities. Our model couples networked SIR epidemic dynamics with opinions towards the severity of the epidemic,…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Humphrey C. H. Leung , Shreyas Sundaram , Philip E. Paré

Multi-strain competition on networks is observed in many contexts, including infectious disease ecology, information dissemination or behavioral adaptation to epidemics. Despite a substantial body of research has been developed considering…

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

For a reliable prediction of an epidemic or information spreading pattern in complex systems, well-defined measures are essential. In the susceptible-infected model on heterogeneous networks, the cluster of infected nodes in the…

Physics and Society · Physics 2019-04-10 Mi Jin Lee , Deok-Sun Lee

Random networks with specified degree distributions have been proposed as realistic models of population structure, yet the problem of dynamically modeling SIR-type epidemics in random networks remains complex. I resolve this dilemma by…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz

We study the critical effect of an intermittent social distancing strategy on the propagation of epidemics in adaptive complex networks. We characterize the effect of our strategy in the framework of the susceptible-infected-recovered…

Physics and Society · Physics 2012-04-02 L. D. Valdez , P. A. Macri , L. A. Braunstein

Recently, some studies have revealed that non-Poissonian statistics of human behaviors stem from the hierarchical geographical network structure. On this view, we focus on epidemic spreading in the hierarchical geographical networks, and…

Physics and Society · Physics 2015-06-04 Zhi-Dan Zhao , Ying Liu , Ming Tang

We study the diffusion of epidemics on networks that are partitioned into local communities. The gross structure of hierarchical networks of this kind can be described by a quotient graph. The rationale of this approach is that individuals…

Social and Information Networks · Computer Science 2016-01-19 Stefano Bonaccorsi , Stefania Ottaviano , Delio Mugnolo , Francesco De Pellegrini

The Susceptible-Infected-Recovered (SIR) model is studied in multilayer networks with arbitrary number of links across the layers. By following the mapping to bond percolation we give the analytical expression for the epidemic threshold and…

Populations and Evolution · Quantitative Biology 2017-03-09 Ginestra Bianconi

Contact networks can significantly change the course of epidemics, affecting the rate of new infections and the mean size of an outbreak. Despite this dependence, some characteristics of epidemics are not contingent on the contact network…

Probability · Mathematics 2015-03-17 Alexander Gutfraind

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

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

We study a discrete Susceptible-Infected-Recovered (SIR) model for the spread of infectious disease on a homogeneous tree and the limit behavior of the model in the case when the tree vertex degree tends to infinity. We obtain the…

Probability · Mathematics 2022-07-08 Alexander Gairat , Vadim Shcherbakov
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