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We present a finite-size scaling theory of a contact process with permanent immunity on uncorrelated scale-free networks. We model an epidemic outbreak by an analog of the susceptible-infected-removed model where an infected individual…

Statistical Mechanics · Physics 2022-12-20 D. S. M. Alencar , T. F. A. Alves , F. W. S. Lima , G. A. Alves , A. Macedo-Filho , R. S. Ferreira

Accurate epidemic forecasting requires models that account for the layered and heterogeneous nature of real social interactions. The basic reproduction number $\mathcal R_0$ calculated from models that assume homogeneous mixing or…

Physics and Society · Physics 2025-10-15 Eric Alejandro Rozan , Mario Ignacio Simoy , Sebastian Bouzat , Marcelo Nestor Kuperman

We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals $i$ and $j$ is…

Physics and Society · Physics 2013-08-28 C. Buono , F. Vazquez , P. A. Macri , L. A. Braunstein

Network epidemiology has become a core framework for investigating the role of human contact patterns in the spreading of infectious diseases. In network epidemiology represents the contact structure as a network of nodes (individuals)…

Populations and Evolution · Quantitative Biology 2014-06-10 Petter Holme

In this paper, we propose a global digital platform to avoid and combat epidemics by providing relevant real-time information to support selective lockdowns. It leverages the pervasiveness of wireless connectivity while being trustworthy…

Contact-tracing is an essential tool in order to mitigate the impact of pandemic such as the COVID-19. In order to achieve efficient and scalable contact-tracing in real time, digital devices can play an important role. While a lot of…

Quarantining and contact tracing are popular ad hoc practices for mitigating epidemic outbreaks. However, few mathematical theories are currently available to asses the role of a network in the effectiveness of these practices. In this…

Physics and Society · Physics 2020-10-13 Ivan Kryven , Clara Stegehuis

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…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

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)…

Social and Information Networks · Computer Science 2016-10-03 Navid Azizan Ruhi , Hyoung Jun Ahn , Babak Hassibi

Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2019-08-22 Akari Matsuki , Gouhei Tanaka

A probabilistic approach to the epidemic evolution on realistic social-contact networks allows for characteristic differences among subjects, including the individual number and structure of social contacts, and the heterogeneity of the…

Social and Information Networks · Computer Science 2022-02-11 Jan B. Broekaert , Davide La Torre , Faizal Hafiz

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

Populations and Evolution · Quantitative Biology 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

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…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Infectious diseases that spread silently through asymptomatic or pre-symptomatic infections represent a challenge for policy makers. A traditional way of achieving isolation of silent infectors from the community is through forward contact…

Physics and Society · Physics 2023-11-09 Giulia de Meijere , Claudio Castellano

Epidemic spreading has been studied for a long time and most of them are focused on the growing aspect of a single epidemic outbreak. Recently, we extended the study to the case of recurrent epidemics (Sci. Rep. {\bf 5}, 16010 (2015)) but…

Physics and Society · Physics 2017-05-29 Muhua Zheng , Ming Zhao , Byungjoon Min , Zonghua Liu

Nowadays, one of the challenges we face when carrying out modeling of epidemic spreading is to develop methods to control disease transmission. In this article we study how the spreading of knowledge of a disease affects the propagation of…

Identifying super-spreaders in epidemics is important to suppress the spreading of disease especially when the medical resource is limited.In the modern society, the information on epidemics transmits swiftly through various communication…

Physics and Society · Physics 2021-08-26 Qi Zeng , Ying Liu , Ming Tang , Jie Gong

Epidemic spreading can be suppressed by the introduction of containment measures such as social distancing and lock downs. Yet, when such measures are relaxed, new epidemic waves and infection cycles may occur. Here we explore this issue in…

Physics and Society · Physics 2020-12-07 Fabio Caccioli , Daniele De Martino

Prior social contagion models consider the spread of either one contagion at a time on interdependent networks or multiple contagions on single layer networks or under assumptions of competition. We propose a new threshold model for the…

Social and Information Networks · Computer Science 2018-09-13 Ho-Chun Herbert Chang , Feng Fu

We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

Physics and Society · Physics 2013-07-23 Wojciech Ganczarek