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Epidemic disease spreading is conventionally often modelled and analyzed by means of rate and diffusion equations, following the paradigms of well-controlled chemical reactions and diffusive dynamics in a test tube. Yet, serious worries…

物理与社会 · 物理学 2023-01-03 Klaus Kroy

We present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at…

数学物理 · 物理学 2011-08-09 Joep Evers

In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the perceived densities of the different groups present as well…

Research on social contagion dynamics has not yet including a theoretical analysis of the ubiquitous local trend imitation (LTI) characteristic. We propose a social contagion model with a tent-like adoption probability distribution to…

物理与社会 · 物理学 2017-09-26 Xuzhen Zhu , Wei Wang , Shimin Cai , H. Eugene Stanley

This study extends classical models of spreading epidemics to describe the phenomenon of contagious public outrage, which eventually leads to the spread of violence following a disclosure of some unpopular political decisions and/or…

物理与社会 · 物理学 2015-06-17 Sarwat Nizamani , Nasrullah Memon , Serge Galam

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…

物理与社会 · 物理学 2015-11-25 Zhongyuan Ruan , Gerardo Iniguez , Marton Karsai , Janos Kertesz

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…

概率论 · 数学 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

Social contagion has been studied in various contexts. Many instances of social contagion can be modeled as an infection process where a specific state (adoption of product, fad, knowledge, behavior, etc.) spreads from individual to…

社会与信息网络 · 计算机科学 2014-07-01 Hiroki Sayama

Dynamic properties of spreading infection through a heterogeneous population are studied numerically and analytically using a dynamic variant of Watts and Strogatz Small World Network-based stochastic Susceptible-Exposed-Infectious-Removed…

种群与进化 · 定量生物学 2019-06-28 O. Mosbah , N. Zekri , M. Mokhtari , S. Sahraoui

We propose a kinetic model for understanding the link between opinion formation phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine hesitancy can present different phases and temporal and spatial…

物理与社会 · 物理学 2023-10-31 Andrea Bondesan , Giuseppe Toscani , Mattia Zanella

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

系统与控制 · 电气工程与系统科学 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

The rate of adoption of new information depends on reinforcement from multiple sources in a way that often cannot be described by simple contagion processes. In such cases, contagion is said to be complex. Complex contagion happens in the…

物理与社会 · 物理学 2019-06-21 Vítor V. Vasconcelos , Simon A. Levin , Flávio L. Pinheiro

Spreading processes are ubiquitous in natural and artificial systems. They can be studied via a plethora of models, depending on the specific details of the phenomena under study. Disease contagion and rumor spreading are among the most…

Physical contacts result in the spread of various phenomena such as viruses, gossips, ideas, packages and marketing pamphlets across a population. The spread depends on how people move and co-locate with each other, or their mobility…

社会与信息网络 · 计算机科学 2021-12-20 Sepanta Zeighami , Cyrus Shahabi , John Krumm

In the present paper, our goal is to establish a framework for the mathematical modelling and the analysis of the spread of an epidemic in a large population commuting regularly, typically along a time-periodic pattern, as is roughly…

种群与进化 · 定量生物学 2024-08-29 Pierre-Alexandre Bliman , Boureima Sangaré , Assane Savadogo

Dense pedestrian crowds may pose significant safety risks, yet their underlying dynamics remain insufficiently understood to reliably prevent accidents. In these environments, physical interactions and contact forces fundamentally shape the…

物理与社会 · 物理学 2025-05-12 Thomas Chatagnon , Antoine Tordeux , Mohcine Chraibi

The propagation of information in social, biological and technological systems represents a crucial component in their dynamic behavior. When limited to pairwise interactions, a rather firm grip is available on the relevant parameters and…

物理与社会 · 物理学 2021-09-15 Z. Li , Z. Deng , Z. Han , K. Alfaro-Bittner , B. Barzel , S. Boccaletti

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…

数据分析、统计与概率 · 物理学 2015-05-28 Zimo Yang , Ai-Xiang Cui , Tao Zhou

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

医学物理 · 物理学 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

物理与社会 · 物理学 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan