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A Belief Propagation approach has been recently proposed for the zero-patient problem in a SIR epidemics. The zero-patient problem consists in finding the initial source of an epidemic outbreak given observations at a later time. In this…

种群与进化 · 定量生物学 2015-07-10 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Alessandro Ingrosso , Riccardo Zecchina

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

We study several bayesian inference problems for irreversible stochastic epidemic models on networks from a statistical physics viewpoint. We derive equations which allow to accurately compute the posterior distribution of the time…

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

物理与社会 · 物理学 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

This work examines the discrete-time networked SIR (susceptible-infected-recovered) epidemic model, where the infection and recovery parameters may be time-varying. We provide a sufficient condition for the SIR model to converge to the set…

系统与控制 · 电气工程与系统科学 2021-03-01 Ciyuan Zhang , Humphrey Leung , Brooks Butler , Philip. E. Paré

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

数据结构与算法 · 计算机科学 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

This paper studies the problem of detecting the information source in a network in which the spread of information follows the popular Susceptible-Infected-Recovered (SIR) model. We assume all nodes in the network are in the susceptible…

社会与信息网络 · 计算机科学 2013-02-20 Kai Zhu , Lei Ying

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

统计方法学 · 统计学 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

The Susceptible-Infectious-Recovered (SIR) model is the canonical model of epidemics of infections that make people immune upon recovery. Many of the open questions in computational epidemiology concern the underlying contact structure's…

物理与社会 · 物理学 2021-06-09 Petter Holme

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…

动力系统 · 数学 2021-07-26 Hannah Scanlon , John Gemmer

We study the dynamics of a spatially structured model of worldwide epidemics and formulate predictions for arrival times of the disease at any city in the network. The model is comprised of a system of ordinary differential equations…

斑图形成与孤子 · 物理学 2018-02-14 Lawrence M. Chen , Matt Holzer , Anne Shapiro

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…

物理与社会 · 物理学 2020-09-08 Bnaya Gross , Shlomo Havlin

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

物理与社会 · 物理学 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we…

物理与社会 · 物理学 2017-10-05 Matthieu Nadini , Kaiyuan Sun , Enrico Ubaldi , Michele Starnini , Alessandro Rizzo , Nicola Perra

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…

动力系统 · 数学 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

The study of SIS epidemics on networks has stressed the role of the network topology on the spreading process. However, accurate models of SIS epidemics rely on the complete knowledge of the network topology, which is often not available.…

物理与社会 · 物理学 2017-08-08 Aram Vajdi , Caterina Scoglioy

We use the susceptible-infected-recovered (SIR) model for disease spread over a network, and empirically study how well various centrality measures perform at identifying which nodes in a network will be the best spreaders of disease on 10…

社会与信息网络 · 计算机科学 2012-08-23 Brian Macdonald , Paulo Shakarian , Nicholas Howard , Geoffrey Moores

We study the spreading of a disease on top of structured scale-free networks recently introduced. By means of numerical simulations we analyze the SIS and the SIR models. Our results show that when the connectivity fluctuations of the…

统计力学 · 物理学 2009-11-07 Yamir Moreno , Alexei Vazquez

In this paper we introduce a statistical inference framework for estimating the contagion source from a partially observed contagion spreading process on an arbitrary network structure. The framework is based on a maximum likelihood…

社会与信息网络 · 计算机科学 2015-03-12 Nino Antulov-Fantulin , Alen Lancic , Hrvoje Stefancic , Mile Sikic , Tomislav Smuc

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
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