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Studying human behaviour in virtual environments provides extraordinary opportunities for a quantitative analysis of social phenomena with levels of accuracy that approach those of the natural sciences. In this paper we use records of…

Physics and Society · Physics 2014-11-14 Olesya Mryglod , Benedikt Fuchs , Michael Szell , Yurij Holovatch , Stefan Thurner

The COVID-19 pandemic that emerged in 2020 has highlighted the complex interplay between vaccine hesitancy and societal polarization. In this study, we analyse the dynamical polarization within a social network as well as the network…

Social and Information Networks · Computer Science 2024-06-13 Ixandra Achitouv , David Chavalarias

Large cascades can develop in online social networks as people share information with one another. Though simple reshare cascades have been studied extensively, the full range of cascading behaviors on social media is much more diverse.…

Social and Information Networks · Computer Science 2018-05-22 Justin Cheng , Jon Kleinberg , Jure Leskovec , David Liben-Nowell , Bogdan State , Karthik Subbian , Lada Adamic

Interaction patterns among individuals play vital roles in spreading infectious diseases. Understanding these patterns and integrating their impact in modeling diffusion dynamics of infectious diseases are important for epidemiological…

Social and Information Networks · Computer Science 2018-04-02 Md Shahzamal , Raja Jurdak , Bernard Mans , Ahmad El Shoghri , Frank De Hoog

Random walks are powerful tools to analyze spatial-temporal patterns produced by living organisms ranging from cells to humans. At the same time, it is evident that these patterns are not completely random but are results of a convolution…

Statistical Mechanics · Physics 2021-12-08 M. I. Krivonosov , S. N. Tikhomirov , S. Denisov

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Physics and Society · Physics 2015-09-21 Romualdo Pastor-Satorras , Claudio Castellano , Piet Van Mieghem , Alessandro Vespignani

Motivated by the analysis of social networks, we study a model of random networks that has both a given degree distribution and a tunable clustering coefficient. We consider two types of growth processes on these graphs: diffusion and…

Probability · Mathematics 2012-02-23 Emilie Coupechoux , Marc Lelarge

We discuss velocity-jump models for chemotaxis of bacteria with an internal state that allows the velocity jump rate to depend on the memory of the chemoattractant concentration along their path of motion. Using probabilistic techniques, we…

Numerical Analysis · Mathematics 2011-11-23 Mathias Rousset , Giovanni Samaey

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

There is a rich history of models for the interaction of a biological contagion like influenza with the spread of related information such as an influenza vaccination campaign. Recent work on the spread of interacting contagions on networks…

Physics and Society · Physics 2020-09-02 Laurent Hébert-Dufresne , Dina Mistry , Benjamin M. Althouse

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

Interaction patterns at the individual level influence the behaviour of diffusion over contact networks. Most of the current diffusion models only consider direct interactions among individuals to build underlying infectious items…

Social and Information Networks · Computer Science 2019-06-07 Md Shahzamal , Raja Jurdak , Bernard Mans , Frank de Hoog

A spreading process can be observed when particular information, substances, or diseases spread through a population over time in social and biological systems. It is widely believed that contact interactions among individual entities play…

Physics and Society · Physics 2024-07-08 Jaeyoung Kwak , Michael H. Lees , Wentong Cai

Sequences of events including infectious disease outbreaks, social network activities, and crimes are ubiquitous and the data on such events carry essential information about the underlying diffusion processes between communities (e.g.,…

Social and Information Networks · Computer Science 2021-06-08 Maya Okawa , Tomoharu Iwata , Yusuke Tanaka , Hiroyuki Toda , Takeshi Kurashima , Hisashi Kashima

We model the mobility of mobile phone users to study the fundamental spreading patterns characterizing a mobile virus outbreak. We find that while Bluetooth viruses can reach all susceptible handsets with time, they spread slowly due to…

Data Analysis, Statistics and Probability · Physics 2009-06-26 P. Wang , M. Gonzalez , C. A. Hidalgo , A. -L. Barabasi

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

Dynamical Systems · Mathematics 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

Reaction-diffusion equations are widely used as the governing evolution equations for modeling many physical, chemical, and biological processes. Here we derive reaction-diffusion equations to model transport with reactions on a…

Statistical Mechanics · Physics 2020-09-16 E. Abad , C. N. Angstmann , B. I. Henry , A. V. McGann , F. Le Vot , S. B. Yuste

A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

Populations and Evolution · Quantitative Biology 2018-05-29 Åke Svensson

Physical contacts do not occur randomly, rather, individuals with similar socio-demographic and behavioural characteristics are more likely to interact among them, a phenomenon known as homophily. Concurrently, the same characteristics…

Physics and Society · Physics 2021-12-16 Giulio Burgio , Benjamin Steinegger , Alex Arenas

Recent empirical observations suggest a heterogeneous nature of human activities. The heavy-tailed inter-event time distribution at population level is well accepted, while whether the individual acts in a heterogeneous way is still under…

Data Analysis, Statistics and Probability · Physics 2015-05-28 Zimo Yang , Ai-Xiang Cui , Tao Zhou
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