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Empirical studies suggest that contact patterns follow heterogeneous inter-event times, meaning that intervals of high activity are followed by periods of inactivity. Combined with birth and death of individuals, these temporal constraints…

Physics and Society · Physics 2013-03-25 Luis Enrique Correa Rocha , Vincent D. Blondel

We typically interact in groups, not just in pairs. For this reason, it has recently been proposed that the spread of information, opinion or disease should be modelled over a hypergraph rather than a standard graph. The use of hyperedges…

Dynamical Systems · Mathematics 2021-08-13 Desmond J. Higham , Henry-Louis de Kergorlay

We investigate the impact of network heterogeneity on synergistic contagion dynamics. By extending a synergistic contagion model to diverse heterogeneous network topologies, we uncover the emergence of novel dynamical regimes characterized…

Physics and Society · Physics 2025-07-09 Francisco J. Perez-Reche , Sergei N. Taraskin

The adoption of individual behavioural patterns is largely determined by stimuli arriving from peers via social interactions or from external sources. Based on these influences, individuals are commonly assumed to follow simple or complex…

Computers and Society · Computer Science 2024-06-28 Elsa Andres , Gergely Ódor , Iacopo Iacopini , Márton Karsai

Herd immunity is shaped not only by the infection capacity of a spreading epidemic or the contact structure of the hosting population, but also by how and under what circumstances individuals acquire immunity. Immunization strategies may…

Physics and Society · Physics 2026-02-20 Sámuel G. Balogh , Gergely Ódor , Márton Karsai

The hypergraph offers a platform to study structural properties emerging from more complicated and higher-order than pairwise interactions among constituents and dynamical behavior such as the spread of information or disease. Recently, a…

Physics and Society · Physics 2020-01-01 Bukyoung Jhun , Minjae Jo , B. Kahng

We contribute to the understanding of how systemic risk arises in a network of credit-interlinked agents. Motivated by empirical studies we formulate a network model which, despite its simplicity, depicts the nature of interbank markets…

Risk Management · Quantitative Finance 2014-06-26 Oliver Kley , Claudia Klüppelberg , Lukas Reichel

We study numerically how the structures of distinct networks influence the epidemic dynamics in contact process. We first find that the variability difference between homogeneous and heterogeneous networks is very narrow, although the…

Physics and Society · Physics 2012-04-04 Kai Gong , Ming Tang , Hui Yang , Mingsheng Shang

Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world…

Physics and Society · Physics 2017-02-09 Wei Wang , Ming Tang , H. Eugene Stanley , Lidia A. Braunstein

When a new infectious disease (or a new strain of an existing one) emerges, as in the recent COVID-19 pandemic, different types of mobility restrictions are considered to slow down or mitigate the spread of the disease. The measures to be…

Physics and Society · Physics 2026-04-21 Jõao Gabriel Simões Delboni , Gabriel Fabricius

Infectious diseases often spread faster near their peak than would be predicted given early data on transmission. Despite the commonality of this phenomena, there are no known general mechanisms able to cause an exponentially spreading dis-…

Quantitative Methods · Quantitative Biology 2017-07-06 Samuel V. Scarpino , Antoine Allard , Laurent Hebert-Dufresne

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

Social networks affect the diffusion of information, and thus have the potential to reduce or amplify inequality in access to opportunity. We show empirically that social networks often exhibit a much larger potential for unequal diffusion…

Applications · Statistics 2022-10-21 Eaman Jahani , Dean Eckles , Alex 'Sandy' Pentland

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

Despite centuries of work on containment and mitigation strategies, infectious diseases are still a major problem facing humanity. This work is concerned with simulating heterogeneous contact structures and understanding how the structure…

Social and Information Networks · Computer Science 2024-02-07 Jan Kreischer , Adrian Iten , Astrid Jehoul

The outbreak of a pandemic, such as COVID-19, causes major health crises worldwide. Typical measures to contain the rapid spread usually include effective vaccination and strict interventions (Nature Human Behaviour, 2021). Motivated by…

Social and Information Networks · Computer Science 2025-03-31 Gargi Bakshi , Sujoy Bhore , Suraj Shetiya

Contact (or mixing, or more generally connectivity) matrices are a fundamental component of modelling and inference for infectious disease epidemiology. Their structure and parametrisation directly accounts for the frequency of interactions…

Many datasets describing contacts in a population suffer from incompleteness due to population sampling and underreporting of contacts. Data-driven simulations of spreading processes using such incomplete data lead to an underestimation of…

Physics and Society · Physics 2017-09-07 Julie Fournet , Alain Barrat

Diffusion of information, behavioral patterns or innovations follows diverse pathways depending on a number of conditions, including the structure of the underlying social network, the sensitivity to peer pressure and the influence of…

Physics and Society · Physics 2015-11-25 Zhongyuan Ruan , Gerardo Iniguez , Marton Karsai , Janos Kertesz

In complex social systems encoded as hypergraphs, higher-order (i.e., group) interactions taking place among more than two individuals are represented by hyperedges. One of the higher-order correlation structures native to hypergraphs is…

Physics and Society · Physics 2023-11-07 Jihye Kim , Deok-Sun Lee , Kwang-Il Goh