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Temporal social networks of human interactions are preponderant in understanding the fundamental patterns of human behavior. In these networks, interactions occur locally between individuals (i.e., nodes) who connect with each other at…

Physics and Society · Physics 2022-10-11 Shaunette T. Ferguson , Teruyoshi Kobayashi

Human interactions and mobility shape epidemic dynamics by facilitating disease outbreaks and their spatial spread across regions. Traditional models often isolate commuting and random mobility as separate behaviors, focusing either on…

Physics and Society · Physics 2024-12-11 Pablo Valgañón , Antonio Brotons , David Soriano-Paños , Jesús Gómez-Gardeñes

We present new empirical evidence, based on millions of interactions on Twitter, confirming that human contacts scale with population sizes. We integrate such observations into a reaction-diffusion metapopulation framework providing an…

Physics and Society · Physics 2014-11-27 Michele Tizzoni , Kaiyuan Sun , Diego Benusiglio , Márton Karsai , Nicola Perra

Metapopulation epidemic models help capture the spatial dimension of infectious disease spread by dividing heterogeneous populations into separate but interconnected communities, represented by nodes in a network. In the event of an…

Populations and Evolution · Quantitative Biology 2025-02-21 Henrik Zunker , Philipp Dönges , Patrick Lenz , Seba Contreras , Martin J. Kühn

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

Transport in crowded, complex environments occurs across many spatial scales. Geometric restrictions can hinder the motion of individuals and, combined with crowding between individuals, can have drastic effects on global transport…

Physics and Society · Physics 2021-08-11 Daniel B. Wilson , Francis G. Woodhouse , Matthew J. Simpson , Ruth E. Baker

Complex contagion models that involve contagion along higher-order structures, such as simplicial complexes and hypergraphs, yield new classes of mean-field models. Interestingly, the differential equations arising from many such models…

Physics and Society · Physics 2025-09-24 István Z. Kiss , Christian Bick , Péter L. Simon

We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity pattern. In SIR-like processes, along with the standard local epidemic threshold, the system exhibits a global…

Physics and Society · Physics 2009-11-13 Vittoria Colizza , Alessandro Vespignani

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

The interactions between individuals play a pivotal role in shaping the structure and dynamics of social systems. Complex network models have proven invaluable in uncovering the underlying mechanisms that govern the formation and evolution…

Improved mobility not only contributes to more intensive human activities but also facilitates the spread of communicable disease, thus constituting a major threat to billions of urban commuters. In this study, we present a multi-city…

Physics and Society · Physics 2020-02-11 Xinwu Qian , Lijun Sun , Satish V. Ukkusuri

Smartphones and other mobile devices are today pervasive across the globe. As an interesting side effect of the surge in mobile communications, mobile network operators can now easily collect a wealth of high-resolution data on the habits…

Networking and Internet Architecture · Computer Science 2016-10-25 Ghazaleh Khodabandelou , Vincent Gauthier , Mounim A. El-Yacoubi , Marco Fiore

Understanding human mobility is essential for applications ranging from urban planning to public health. Traditional mobility models such as flow networks and colocation matrices capture only pairwise interactions between discrete…

Social and Information Networks · Computer Science 2025-03-25 Prathyush Sambaturu , Bernardo Gutierrez , Moritz U. G. Kraemer

We develop a spatially realistic model of mutualistic metacommunities that exploits the joint structure of spatial and interaction networks. This model exhibits a sharp transition between a stable non-null equilibrium state and a global…

Populations and Evolution · Quantitative Biology 2022-06-23 Marc Ohlmann , François Munoz , François Massol , Wilfried Thuiller

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

We propose a theoretical framework for the study of epidemics in structured metapopulations, with heterogeneous agents, subjected to recurrent mobility patterns. We propose to represent the heterogeneity in the composition of the…

Physics and Society · Physics 2018-08-15 David Soriano-Paños , Laura Lotero , Jesús Gómez-Gardeñes , Alex Arenas

Complex networks serve as abstract models for understanding real-world complex systems and provide frameworks for studying structured dynamical systems. This article addresses limitations in current studies on the exploration of individual…

Social and Information Networks · Computer Science 2025-10-14 Bin Pi , Liang-Jian Deng , Minyu Feng , Matjaž Perc , Jürgen Kurths

Geographic borders are not only essential for the effective functioning of government, the distribution of administrative responsibilities and the allocation of public resources, they also influence the interregional flow of information,…

Physics and Society · Physics 2011-03-30 C. Thiemann , F. Theis , D. Grady , R. Brune , D. Brockmann

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…