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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…

物理与社会 · 物理学 2015-06-09 Martin Dottori , Gabriel Fabricius

In this paper, we develop a node-based approximate model for Markovian contagion dynamics on networks. We prove that our approximate model is exact for SIR (susceptible-infectious-recovered) and SEIR…

动力系统 · 数学 2021-08-17 Cameron L. Hall , Bram A. Siebert

This paper considers the classical Susceptible--Infected--Susceptible (SIS) network epidemic model, which describes a disease spreading through $n$ nodes, with the network links governing the possible transmission pathways of the disease…

系统与控制 · 电气工程与系统科学 2023-05-29 Liam Walsh , Mengbin Ye , Brian D. O. Anderson , Zhiyong Sun

Reproduction numbers are widely used for the estimation and prediction of epidemic spreading processes over networks. However, reproduction numbers do not enable estimation and prediction in individual communities within networks, and they…

系统与控制 · 电气工程与系统科学 2025-06-23 Baike She , Philip E. Paré , Matthew Hale

The recent rapid growth of social media and online social networks (OSNs) has raised interesting questions about the spread of ideas and fads within our society. In the past year, several papers have drawn analogies between the rise and…

种群与进化 · 定量生物学 2016-08-30 Daniel Cooney , Francisco Prieto-Castrillo , Yaneer Bar-Yam

We develop open source infection risk calculators for patients and healthcare professionals as apps for hospital acquired infections (during child-delivery) and sexually transmitted infections (like HIV). Advanced versions of ehealth in…

应用统计 · 统计学 2018-02-07 Andrzej Jarynowski , Damian Marchewka , Andrzej Buda

We consider the task of estimating a network cascade as fast as possible. The cascade is assumed to spread according to a general Susceptible-Infected process with heterogeneous transmission rates from an unknown source in the network.…

统计理论 · 数学 2023-02-13 Anirudh Sridhar , Tirza Routtenberg , H. Vincent Poor

In most models of the spread of disease over contact networks it is assumed that the probabilities per unit time of disease transmission and recovery from disease are constant, implying exponential distributions of the time intervals for…

物理与社会 · 物理学 2010-07-23 Brian Karrer , M. E. J. Newman

We study the spread of discrete-time epidemics over arbitrary networks for well-known propagation models, namely SIS (susceptible-infected-susceptible), SIR (susceptible-infected-recovered), SIRS (susceptible-infected-recovered-susceptible)…

社会与信息网络 · 计算机科学 2016-10-03 Navid Azizan Ruhi , Hyoung Jun Ahn , Babak Hassibi

In many cases, tainted information in a computer network can spread in a way similar to an epidemics in the human world. On the other had, information processing paths are often redundant, so a single infection occurrence can be easily…

物理与社会 · 物理学 2024-03-07 Franco Bagnoli , Emanuele Bellini , Emanuele Massaro

The integration of empirical data in computational frameworks to model the spread of infectious diseases poses challenges that are becoming pressing with the increasing availability of high-resolution information on human mobility and…

种群与进化 · 定量生物学 2013-04-24 Anna Machens , Francesco Gesualdo , Caterina Rizzo , Alberto E Tozzi , Alain Barrat , Ciro Cattuto

Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models…

We study an individual-based stochastic SIR epidemic model with infection-age dependent infectivity on a large random graph, capturing individual heterogeneity and non-homogeneous connectivity. Each individual is associated with particular…

概率论 · 数学 2026-02-11 Guodong Pang , Étienne Pardoux , Aurélien Velleret

Heterogeneous Markovian Susceptible-Infected-Susceptible (SIS) epidemics with a general infection rate matrix $\widetilde{A}$ are considered. Using a non-negative matrix factorization to approximate $\widetilde{A}$, we are able to identify…

概率论 · 数学 2017-07-27 E. Cator , H. Don , P. Van Mieghem

Knowing which individuals can be more efficient in spreading a pathogen throughout a determinate environment is a fundamental question in disease control. Indeed, over the last years the spread of epidemic diseases and its relationship with…

Recent work has shown that different theoretical approaches to the dynamics of the Susceptible-Infected-Susceptible (SIS) model for epidemics lead to qualitatively different estimates for the position of the epidemic threshold in networks.…

统计力学 · 物理学 2012-10-17 Silvio C. Ferreira , Claudio Castellano , Romualdo Pastor-Satorras

We develop an analytical approach to the susceptible-infected-susceptible (SIS) epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance…

物理与社会 · 物理学 2013-09-13 Marian Boguna , Claudio Castellano , Romualdo Pastor-Satorras

In this paper we present a model describing Susceptible-Infected-Susceptible (SIS) type epidemics spreading on a dynamic contact network with random link activation and deletion where link ac- tivation can be locally constrained. We use and…

动力系统 · 数学 2015-05-30 Michael Taylor , Timothy J. Taylor , Istvan Z. Kiss

The nodes in communication networks are possibly and most likely equipped with different recovery resources, which allow them to recover from a virus with different rates. In this paper, we aim to understand know how to allocate the limited…

物理与社会 · 物理学 2014-09-01 Bo Qu , Alan Hanjalic , Huijuan Wang

This paper investigates the spread of infectious diseases within a networked community by integrating epidemic transmission and public opinion dynamics. We propose a novel discrete-time networked SIS (Susceptible-Infectious-Susceptible)…

系统与控制 · 电气工程与系统科学 2025-08-14 Qiulin Xu , Tatsuya Masada , Hideaki Ishii