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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…

种群与进化 · 定量生物学 2019-06-28 O. Mosbah , N. Zekri , M. Mokhtari , S. Sahraoui

In real social networks, person-to-person interactions are known to be heterogeneous, which can affect the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.…

物理与社会 · 物理学 2020-05-12 Ignacio A. Perez , Paul A. Trunfio , Cristian E. La Rocca , Lidia A. Braunstein

We investigate the evolution of epidemics over dynamical networks when nodes choose to interact with others in a selfish and decentralized manner. Specifically, we analyze the susceptible-asymptomatic-infected-recovered (SAIR) epidemic in…

物理与社会 · 物理学 2021-09-28 Ashish R. Hota , Tanya Sneh , Kavish Gupta

Network science has increasingly become central to the field of epidemiology and our ability to respond to infectious disease threats. However, many networks derived from modern datasets are not just large, but dense, with a high ratio of…

种群与进化 · 定量生物学 2023-01-11 Alexander M. Mercier , Samuel V. Scarpino , Cristopher Moore

During pandemic events, strategies such as social distancing can be fundamental to curb viral spreading. Such actions can reduce the number of simultaneous infections and mitigate the disease spreading, which is relevant to the risk of a…

物理与社会 · 物理学 2021-02-24 Marco A. Amaral , Marcelo M. de Oliveira , Marco A. Javarone

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…

统计力学 · 物理学 2009-11-07 M. E. J. Newman

The use of network theory to model disease propagation on populations introduces important elements of reality to the classical epidemiological models. The use of random geometric graphs (RGG) is one of such network models that allows for…

物理与社会 · 物理学 2016-12-21 Ernesto Estrada , Sandro Meloni , Matthew Sheerin , Yamir Moreno

We study a susceptible-infected-recovered (SIR) epidemic model on a network of $n$ interacting subpopulations. We analyze the transient and asymptotic behavior of the infection dynamics in each node of the network. In contrast to the…

动力系统 · 数学 2024-03-18 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani

Infection dynamics have been studied extensively on complex networks, yielding insight into the effects of heterogeneity in contact patterns on disease spread. Somewhat separately, metapopulations have provided a paradigm for modeling…

物理与社会 · 物理学 2013-08-09 Jason Hindes , Sarabjeet Singh , Christopher R. Myers , David J. Schneider

The spread of infectious diseases crucially depends on the pattern of contacts among individuals. Knowledge of these patterns is thus essential to inform models and computational efforts. Few empirical studies are however available that…

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

物理与社会 · 物理学 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

概率论 · 数学 2026-05-20 Eliana Fausti , Andreas Sojmark

We study the propagation of an SIR (susceptible-infectious-recovered) disease over an agent population which, at any instant, is fully divided into couples of agents. Couples are occasionally allowed to exchange their members. This process…

生物物理 · 物理学 2011-04-21 Damián H. Zanette

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…

物理与社会 · 物理学 2020-08-26 Fabrizio Croccolo , H. Eduardo Roman

We formulate a generalized susceptible exposed infectious recovered (SEIR) model on a graph, describing the population dynamics of an open crowded place with an arbitrary topology. As a sample calculation, we discuss three simple cases,…

物理与社会 · 物理学 2020-12-18 Andrea Nava , Alessandro Papa , Marco Rossi , Domenico Giuliano

Spreading broadly refers to the notion of an entity propagating throughout a networked system via its interacting components. Evidence of its ubiquity and severity can be seen in a range of phenomena, from disease epidemics to financial…

物理与社会 · 物理学 2018-04-25 Christos Ellinas

We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach is based on counting the number of possible infection walks…

生物物理 · 物理学 2012-10-25 Frank Bauer , Joseph T. Lizier

In this study we present a dynamical agent-based model to investigate the interplay between the socio-economy of and SEIRS-type epidemic spreading over a geographical area, divided to smaller area districts and further to smallest area…

物理与社会 · 物理学 2022-07-20 Jan E. Snellman , Rafael A. Barrio , Kimmo K. Kaski , Maarit J. Käpylä

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,…

概率论 · 数学 2020-08-17 Frank Ball , Tom Britton

Although viral spreading processes taking place in networks are often analyzed using Markovian models in which both the transmission and the recovery times follow exponential distributions, empirical studies show that, in many real…

社会与信息网络 · 计算机科学 2019-03-19 Masaki Ogura , Victor M. Preciado