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Network epidemiology often assumes that the relationships defining the social network of a population are static. The dynamics of relationships is only taken indirectly into account, by assuming that the relevant information to study…

Populations and Evolution · Quantitative Biology 2010-04-09 Sebastian Risau-Gusman

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

Populations and Evolution · Quantitative Biology 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku

Epidemics on complex networks is a widely investigated topic in the last few years, mainly due to the last pandemic events. Usually, real contact networks are dynamic, hence much effort has been invested in studying epidemics on evolving…

Physics and Society · Physics 2022-05-18 Hillel Sanhedrai , Shlomo Havlin

Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model is a popular…

Populations and Evolution · Quantitative Biology 2017-01-23 Frank Ball , Thomas House

We consider an epidemic model of SIR type set on a homogeneous tree and investigate the spreading properties of the epidemic as a function of the degree of the tree, the intrinsic basic reproduction number and the strength of the…

Analysis of PDEs · Mathematics 2021-06-09 Christophe Besse , Grégory Faye

We use scale-free networks to study properties of the infected mass $M$ of the network during a spreading process as a function of the infection probability $q$ and the structural scaling exponent $\gamma$. We use the standard SIR model and…

Disordered Systems and Neural Networks · Physics 2015-06-24 Lazaros K. Gallos , Panos Argyrakis

In this work we performed a numerical study of an epidemic model that mimics the endemic state of whooping cough in the pre-vaccine era. We considered a stochastic SIR model on dynamical networks that involve local and global contacts among…

Physics and Society · Physics 2015-06-09 Martin Dottori , Gabriel Fabricius

The outcome of SIR epidemics with heterogeneous infective lifetimes, or heterogeneous susceptibilities, can be mapped onto a directed percolation process on the underlying contact network. In this paper we study SIR models where…

Physics and Society · Physics 2021-11-01 G. J. Baxter , G. Timár

The disease spreading on complex networks is studied in SIR model. Simulations on empirical complex networks reveal two specific regimes of disease spreading: local containment and epidemic outbreak. The variables measuring the extent of…

Physics and Society · Physics 2013-04-02 Alen Lancic , Nino Antulov-Fantulin , Mile Sikic , Hrvoje Stefancic

We present an epidemiological compartment model, SAIR(S), that explicitly captures the dynamics of asymptomatic infected individuals in an epidemic spread process. We first present a group model and then discuss networked versions. We…

Populations and Evolution · Quantitative Biology 2021-03-23 Xiaoqi Bi , Carolyn L. Beck

A stochastic SIR (susceptible $\to$ infective $\to$ recovered) epidemic model defined on a social network is analysed. The underlying social network is described by an Erd\H{o}s-R\'{e}nyi random graph but, during the course of the epidemic,…

Probability · Mathematics 2020-08-17 Frank Ball , Tom Britton

In this paper, we use a series of small world networks to simulate the epidemic spreading in the real world. To make our model more similar to the real world, we employ a parameter $p_{move}$ to denote its moving probability, which…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Sheng Li , Meng Meng , Hongru Ma

We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the network degree fluctuations, signaling that epidemics spread…

Disordered Systems and Neural Networks · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Social networks are an important infrastructure for information, viruses and innovations propagation. Since users behavior has influenced by other users activity, some groups of people would be made regard to similarity of users interests.…

Social and Information Networks · Computer Science 2013-09-30 Hamidreza Sotoodeh , Farshad Safaei , Arghavan Sanei , Elahe Daei

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

Dynamical Systems · Mathematics 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

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

This paper considers a stochastic SIR (susceptible$\to$infective$\to$removed) epidemic model in which individuals may make infectious contacts in two ways, both within `households' (which for ease of exposition are assumed to have equal…

Probability · Mathematics 2015-03-13 Frank Ball , David Sirl , Pieter Trapman

Contact patterns in populations fundamentally influence the spread of infectious diseases. Current mathematical methods for epidemiological forecasting on networks largely assume that contacts between individuals are fixed, at least for the…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz , Lauren Ancel Meyers

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

Infectious disease superspreading caused by heterogeneity in contact behavior has been observed to be an important determinant of epidemic dynamics and size in both empirical and theoretical settings. However, it has also been observed that…

Populations and Evolution · Quantitative Biology 2026-01-27 Ari S. Freedman , Bjarke F. Nielsen , Maximillian M. Nguyen , Laurent Hébert-Dufresne , Simon A. Levin