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We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently the nodes of a finite ergodic graph in a discrete-time…

Physics and Society · Physics 2021-01-19 Michael Bestehorn , Alejandro P. Riascos , Thomas M. Michelitsch , Bernard A. Collet

We present a general framework for adaptive allocation of viral tests in social contact networks. We pose and solve several complementary problems. First, we consider the design of a social sensing system whose objective is the early…

Social and Information Networks · Computer Science 2020-11-05 Pau Batlle , Joan Bruna , Carlos Fernandez-Granda , Victor M. Preciado

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

Physics and Society · Physics 2016-07-19 Vikram Sagar , Yi 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

Many researchers from a variety of fields including computer science, network science and mathematics have focused on how to contain the outbreaks of Internet misinformation that threaten social systems and undermine societal health. Most…

Physics and Society · Physics 2019-12-23 Wei Wang , Yuanhui Ma , Tao Wu , Yang Dai , Xingshu Chen , Lidia A. Braunstein

Many fundamental concepts in network-based epidemic modeling depend on the branching factor, which captures a sense of dispersion in the network connectivity and quantifies the rate of spreading across the network. Moreover, contact network…

Methodology · Statistics 2020-10-14 Wenrui Li , Daniel L. Sussman , Eric D. Kolaczyk

Networked epidemic models have been widely adopted to describe propagation phenomena. The endemic equilibrium of these models is of great significance in the field of viral marketing, innovation dissemination, and information diffusion.…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Fangzhou Liu , Shaoxuan Cui , Xianwei Li , Martin Buss

The vast majority of strategies aimed at controlling contagion processes on networks considers the connectivity pattern of the system as either quenched or annealed. However, in the real world many networks are highly dynamical and evolve…

Physics and Society · Physics 2015-06-17 Suyu Liu , Nicola Perra , Marton Karsai , Alessandro Vespignani

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha

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

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

We introduce the \emph{temporal graphlet kernel} for classifying dissemination processes in labeled temporal graphs. Such dissemination processes can be spreading (fake) news, infectious diseases, or computer viruses in dynamic networks.…

Social and Information Networks · Computer Science 2022-09-16 Lutz Oettershagen , Nils M. Kriege , Claude Jordan , Petra Mutzel

The spread of an infection on a real-world social network is determined by the interplay of two processes: the dynamics of the network, whose structure changes over time according to the encounters between individuals, and the dynamics on…

Physics and Society · Physics 2015-10-28 Lorenzo Coviello , Massimo Franceschetti , Manuel Garcia-Herranz , Iyad Rahwan

In the past few decades, the frequency of pandemics has been increased due to the growth of urbanization and mobility among countries. Since a disease spreading in one country could become a pandemic with a potential worldwide humanitarian…

Physics and Society · Physics 2020-04-01 L. D. Valdez , L. A. Braunstein , S. Havlin

We performed a thorough sensitivity analysis of the herd immunity threshold for discrete-time SIR compartmental models with a static network structure. We find unexpectedly that these models violate classical intuition which holds that the…

Populations and Evolution · Quantitative Biology 2023-02-27 Sinan A. Ozbay , Bjarke F. Nielsen , Maximilian M. Nguyen

The interplay of biological, social, structural and random factors makes disease forecasting extraordinarily complex. The course of an epidemic exhibits average growth dynamics determined by features of the pathogen and the population, yet…

Populations and Evolution · Quantitative Biology 2022-02-24 Andrea J. Allen , Mariah C. Boudreau , Nicholas J. Roberts , Antoine Allard , Laurent Hébert-Dufresne

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

We investigate the full temporal evolution of epidemic outbreaks in complex networks, focusing on the susceptible-infected (SI) model of disease transmission. Combining theoretical analysis with large-scale numerical simulations, we uncover…

Physics and Society · Physics 2025-09-23 Mateusz J. Samsel , Agata Fronczak , Piotr Fronczak

Random Threshold Networks with sparse, asymmetric connections show complex dynamical behavior similar to Random Boolean Networks, with a transition from ordered to chaotic dynamics at a critical average connectivity $K_c$. In this type of…

Statistical Mechanics · Physics 2009-11-07 Thimo Rohlf , Stefan Bornholdt

Our society nowadays is governed by complex networks, examples being the power grids, telecommunication networks, biological networks, and social networks. It has become of paramount importance to understand and characterize the dynamic…