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We investigate the information-theoretical limits of inference tasks in epidemic spreading on graphs in the thermodynamic limit. The typical inference tasks consist in computing observables of the posterior distribution of the epidemic…

Physics and Society · Physics 2023-12-25 Alfredo Braunstein , Louise Budzynski , Matteo Mariani

Traditional disease transmission models assume that the infectious period is exponentially distributed with a recovery rate fixed in time and across individuals. This assumption provides analytical and computational advantages, however it…

Populations and Evolution · Quantitative Biology 2024-01-30 Laura Di Domenico , Eugenio Valdano , Vittoria Colizza

Epidemics exhibit interconnected processes that operate at multiple time and organizational scales, a hallmark of complex adaptive systems. Modern epidemiological modeling frameworks incorporate feedback between individual-level behavioral…

Dynamical Systems · Mathematics 2025-03-07 Baltazar Espinoza , Roger Sanchez , Jimmy Calvo-Monge , Fabio Sanchez

Early estimates of the transmission potential of emerging and re-emerging infections are increasingly used to inform public health authorities on the level of risk posed by outbreaks. Existing methods to estimate the reproduction number…

Quantitative Methods · Quantitative Biology 2016-10-10 Gerardo Chowell , Cécile Viboud , Lone Simonsen , Seyed Moghadas

We introduce an epidemic model with varying infectivity and general exposed and infectious periods, where the infectivity of each individual is a random function of the elapsed time since infection, those function being i.i.d. for the…

Probability · Mathematics 2021-06-01 Raphael Forien , Guodong Pang , Etienne Pardoux

Interactions between commuting individuals can lead to large-scale spreading of rumors, ideas, or disease, even though the commuters have no net displacement. The emergent dynamics depend crucially on the commuting distribution of a…

Populations and Evolution · Quantitative Biology 2023-05-30 Aaron Winn , Adam Konkol , Eleni Katifori

The shape of an epidemic wave in simple epidemic models applies to a homogeneous distribution of infected people in the population. In large inhomogeneous systems, at country-scale for instance, the wave shape is similar except for the…

Chemical Physics · Physics 2022-11-21 L. Vanel

Many real networks exhibit a layered structure in which links in each layer reflect the function of nodes on different environments. These multiple types of links are usually represented by a multiplex network in which each layer has a…

Physics and Society · Physics 2014-03-19 C. Buono , L. G. Alvarez Zuzek , P. A. Macri , L. A. Braunstein

By generating transient encounters between individuals beyond their immediate social environment, transport can have a profound impact on the spreading of an epidemic. In this work, we consider epidemic dynamics in the presence of the…

Adaptation and Self-Organizing Systems · Physics 2022-11-03 Christian Kuehn , Jan Mölter

This work describes a simple agent model for the spread of an epidemic outburst, with special emphasis on mobility and geographical considerations, which we characterize via statistical mechanics and numerical simulations. As the mobility…

Statistical Mechanics · Physics 2021-09-30 Óscar Toledano , Begoña Mula , Silvia N. Santalla , Javier Rodríguez-Laguna , Óscar Gálvez

The threshold model is a simple but classic model of contagion spreading in complex social systems. To capture the complex nature of social influencing we investigate numerically and analytically the transition in the behavior of…

We investigate phase transitions associated with three control methods for epidemics on small world networks. Motivated by the behavior of SARS-CoV-2, we construct a theoretical SIR model of a virus that exhibits presymptomatic,…

Physics and Society · Physics 2020-07-13 Benjamin Braun , Başak Taraktaş , Brian Beckage , Jane Molofsky

We introduce a new mechanism---the forget-remember mechanism into the spreading process. Equipped with such a mechanism an individual is prone to forget the "message" received and remember the one forgotten, namely switching his state…

Biological Physics · Physics 2015-05-20 Jiao Gu , Wei Li , Xu Cai

Data of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of…

Physics and Society · Physics 2016-07-12 Leo Speidel , Konstantin Klemm , Víctor M. Eguíluz , Naoki Masuda

The spread of disease through a physical-contact network and the spread of information about the disease on a communication network are two intimately related dynamical processes. We investigate the asymmetrical interplay between the two…

Physics and Society · Physics 2014-05-09 Wei Wang , Ming Tang , Hui Yang , Younghae Do , Ying-Cheng Lai , GyuWon Lee

We model and calculate the fraction of infected population necessary to reach herd immunity, taking into account the heterogeneity in infectiousness and susceptibility, as well as the correlation between those two parameters. We show that…

Populations and Evolution · Quantitative Biology 2021-01-19 Yaron Oz , Ittai Rubinstein , Muli Safra

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

Medical Physics · Physics 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

The study of complex networks sheds light on the relation between the structure and function of complex systems. One remarkable result is the absence of an epidemic threshold in infinite-size scale-free networks, which implies that any…

Physics and Society · Physics 2009-10-08 S. Meloni , A. Arenas , Y. Moreno

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

Populations and Evolution · Quantitative Biology 2010-11-25 Christel Kamp

The spread of infectious diseases near the epidemic threshold is investigated. Scaling laws for the size and the duration of outbreaks originating from a single infected individual in a large susceptible population are obtained. The maximal…

Populations and Evolution · Quantitative Biology 2007-05-23 E. Ben-Naim , P. L. Krapivsky
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