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Metapopulation models have traditionally assessed epidemic dynamics by emphasizing local in situ interactions within defined subpopulations, often neglecting transmission occurring during mobility phases in itinere. Here, we extend the…

Physics and Society · Physics 2025-04-11 Francesca Dilisante , Pablo Valgañón , David Soriano-Paños , Jesús Gómez-Gardeñes

Among the realistic ingredients to be considered in the computational modeling of infectious diseases, human mobility represents a crucial challenge both on the theoretical side and in view of the limited availability of empirical data. In…

Physics and Society · Physics 2010-02-04 Duygu Balcan , Vittoria Colizza , Bruno Goncalves , Hao Hu , Jose J. Ramasco , Alessandro Vespignani

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped…

Probability · Mathematics 2018-05-23 Sam Moore , Peter Mörters , Tim Rogers

Up to now, the effects of having heterogeneous networks of contacts have been studied mostly for diseases which are not persistent in time, i.e., for diseases where the infectious period can be considered very small compared to the lifetime…

Physics and Society · Physics 2015-05-18 J. Sanz , L. M. Floria , Y. Moreno

In this paper, we focus on susceptible-infected-susceptible dynamics on metapopulation networks, where nodes represent subpopulations, and where agents diffuse and interact. Recent studies suggest that heterogeneous network structure…

Physics and Society · Physics 2015-06-11 Taro Takaguchi , Renaud Lambiotte

This work aims to assess the risks of Covid-19 disease spread in diverse daily-life situations (referred to as scenarios) involving crowds of maskless pedestrians, mostly outdoors. More concretely, we develop a method to infer the global…

Physics and Society · Physics 2021-11-04 Willy Garcia , Simon Mendez , Baptiste Fray , Alexandre Nicolas

Human mobility and activity patterns mediate contagion on many levels, including the spatial spread of infectious diseases, diffusion of rumors, and emergence of consensus. These patterns however are often dominated by specific locations…

Physics and Society · Physics 2011-07-05 Duygu Balcan , Alessandro Vespignani

A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the…

Analysis of PDEs · Mathematics 2023-06-28 Christoph Walker

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

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

Outbreaks of infectious diseases present a global threat to human health and are considered a major health-care challenge. One major driver for the rapid spatial spread of diseases is human mobility. In particular, the travel patterns of…

Social and Information Networks · Computer Science 2020-04-06 Ahmad El Shoghri , Jessica Liebig , Lauren Gardner , Raja Jurdak , Salil Kanhere

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

Populations and Evolution · Quantitative Biology 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

Most infectious diseases spread on a dynamic network of human interactions. Recent studies of social dynamics have provided evidence that spreading patterns may depend strongly on detailed micro-dynamics of the social system. We have…

Physics and Society · Physics 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

Optimization and Control · Mathematics 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for…

Statistical Mechanics · Physics 2009-11-10 L. M. Sander , C. P. Warren , I. M. Sokolov

The analysis of contagion-diffusion processes in metapopulations is a powerful theoretical tool to study how mobility influences the spread of communicable diseases. Nevertheless, many metapopulation approaches use indistinguishable agents…

Physics and Society · Physics 2022-04-20 Pablo Valgañón , David Soriano-Paños , Alex Arenas , Jesús Gómez-Gardeñes

Many pathogens spread primarily via direct contact between infected and susceptible hosts. Thus, the patterns of contacts or contact network of a population fundamentally shapes the course of epidemics. While there is a robust and growing…

Populations and Evolution · Quantitative Biology 2012-08-01 Shweta Bansal , Lauren Ancel Meyers

Mathematical models represent one of the fundamental ways of studying nature. In special, epidemic models have shown to be particularly useful in the understanding of the course of diseases and in the planning effective control policies. A…

Physics and Society · Physics 2022-10-19 Paulo C. Ventura , Eric K. Tokuda , Luciano da F. Costa , Francisco A. Rodrigues

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

Probability · Mathematics 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

Infectious pathogens often propagate by superspreading, which focusses onward transmission on disproportionately few infected individuals. At the same time, infector-infectee pairs tend to have more similar transmission potentials than…

Populations and Evolution · Quantitative Biology 2025-09-22 Noah Silva de Leonardi , Benjamin D. Dalziel