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The dynamics of network social contagion processes such as opinion formation and epidemic spreading are often mediated by interactions between multiple nodes. Previous results have shown that these higher-order interactions can profoundly…

Physics and Society · Physics 2021-12-07 Nicholas Landry , Juan G. Restrepo

Simulation models of pedestrian dynamics have become an invaluable tool for evacuation planning. Typically crowds are assumed to stream unidirectionally towards a safe area. Simulated agents avoid collisions through mechanisms that belong…

Multiagent Systems · Computer Science 2020-10-08 Benedikt Kleinmeier , Gerta Köster , John Drury

Threshold-driven models and game theory are two fundamental paradigms for describing human interactions in social systems. However, in mimicking social contagion processes, models that simultaneously incorporate these two mechanisms have…

Physics and Society · Physics 2024-10-22 Xincheng Shu , Man Yang , Zhongyuan Ruan , Qi Xuan

Recent empirical studies have confirmed the key roles of complex contagion mechanisms such as memory, social reinforcement, and decay effects in information diffusion and behaviour spreading. Inspired by this fact, we here propose a new…

Physics and Society · Physics 2014-08-20 Pengbi Cui , Ming Tang , Zhi-Xi Wu

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

Collective escaping is a ubiquitous phenomenon in animal groups. Symmetry breaking caused by panic escape exhibits a shared feature across species that one exit is used more than the other when agents escaping from a closed space with two…

Quantitative Methods · Quantitative Biology 2020-06-04 Geng Li , Weijia Wang , Jiahui Lin , Zhiyang Huang , Jianqiang Liang , Huabo Wu , Jianping Wen , Zengru Di , Bertrand Roehner , Zhangang Han

Infectious disease transmission in human populations has a complex two-way interaction with changes in host behaviour. It is increasingly recognised that incorporating adaptive behavioural change into epidemic models is important for…

Populations and Evolution · Quantitative Biology 2026-04-14 Michael J. Plank , Matt Ryan , Lloyd Chapman , Roslyn I. Hickson , Thomas House , Emma McBryde , James M. McCaw

Recently, contagion-based (disease, information, etc.) spreading on social networks has been extensively studied. In this paper, other than traditional full interaction, we propose a partial interaction based spreading model, considering…

Physics and Society · Physics 2015-06-17 Zi-Ke Zhang , Chu-Xu Zhang , Xiao-Pu Han , Chuang Liu

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

Since 1927, until recently, models describing the spread of disease have mostly been of the SIR-compartmental type, based on the assumption that populations are homogeneous and well-mixed. The focus of these models have typically been on…

Physics and Society · Physics 2014-07-23 Lara Goscé , David A W Barton , Anders Johansson

Understanding how and how far information, behaviors, or pathogens spread in social networks is an important problem, having implications for both predicting the size of epidemics, as well as for planning effective interventions. There are,…

Physics and Society · Physics 2015-05-28 Jukka-Pekka Onnela , Nicholas A. Christakis

The structure of heterogeneous networks and human mobility patterns profoundly influence the spreading of endemic diseases. In small-scale communities, individuals engage in social interactions within confined environments, such as homes…

Physics and Society · Physics 2025-05-20 Yusheng Li , Yichao Yao , Minyu Feng , Tina P. Benko , Matjaž Perc , Jernej Završnik

Exhaled droplet and aerosol-mediated transmission of respiratory diseases, including SARS-CoV-2, is exacerbated in poorly ventilated environments where body heat-driven airflow prevails. Employing large-scale simulations, we reveal how the…

Fluid Dynamics · Physics 2023-03-24 Chao-Ben Zhao , Jian-Zhao Wu , Bo-Fu Wang , Tienchong Chang , Quan Zhou , Kai Leong Chong

Individuals are always limited by some inelastic resources, such as time and energy, which restrict them to dedicate to social interaction and limit their contact capacity. Contact capacity plays an important role in dynamics of social…

Physics and Society · Physics 2015-12-25 Wei Wang , Panpan Shu , Yu-Xiao Zhu , Ming Tang , Yi-Cheng Zhang

We present derivations of the contagion condition for a range of spreading mechanisms on families of generalized random networks and bipartite random networks. We show how the contagion condition can be broken into three elements, two…

Physics and Society · Physics 2017-09-01 Peter Sheridan Dodds

Environments such as shopping malls, airports, or hospital emergency departments often experience crowding, with many people simultaneously requesting service. Crowding is highly noisy, with sudden overcrowding "spikes". Past research has…

Physics and Society · Physics 2023-08-16 Gil Parnass , Osnat Levtzion-Korach , Renana Peres , Michael Assaf

The evolution of network structure and the spreading of epidemic are common coexistent dynamical processes. In most cases, network structure is treated either static or time-varying, supposing the whole network is observed in a same time…

Physics and Society · Physics 2016-03-23 Yanjun Lei , Xin Jiang , Quantong Guo , Yifang Ma , Meng Li , Zhiming Zheng

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

Dynamical Systems · Mathematics 2025-11-27 Christian Parkinson , Weinan Wang

The spread of traffic jams in urban networks has long been viewed as a complex spatio-temporal phenomenon that often requires computationally intensive microscopic models for analysis purposes. In this study, we present a framework to…

Advances in mathematical epidemiology have led to a better understanding of the risks posed by epidemic spreading and informed strategies to contain disease spread. However, a challenge that has been overlooked is that, as a disease becomes…

Physics and Society · Physics 2016-02-17 Lucas Böttcher , Olivia Woolley-Meza , Nuno A. M. Araújo , Hans J. Herrmann , Dirk Helbing
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