English
Related papers

Related papers: A deterministic mathematical model for the spread …

200 papers

We propose a discrete model for how opinion about a given phenomenon, about which various groups of a population have different degrees of enthusiasm, such as fanaticism and extreme social and political positions, including terrorism, may…

Physics and Society · Physics 2007-05-23 Dietrich Stauffer , Muhammad Sahimi

We study a simple model of information propagation in social networks, where two quantities are introduced: the spread factor, which measures the average maximal fraction of neighbors of a given node that interchange information among each…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

Rumour is a collective emergent phenomenon with a potential for provoking a crisis. Modelling approaches have been deployed since five decades ago; however, the focus was mostly on epidemic behaviour of the rumours which does not take into…

Multiagent Systems · Computer Science 2019-04-11 Amir Ebrahimi Fard , Rijk Mercuur , Virginia Dignum , Catholijn M. Jonker , Bartel van de Walle

How information spreads through a social network? Can we assume, that the information is spread only through a given social network graph? What is the correct way to compare the models of information flow? These are the basic questions we…

Social and Information Networks · Computer Science 2016-11-30 Andrzej Pacuk , Piotr Sankowski , Karol Wegrzycki , Piotr Wygocki

In this paper we present a thorough analysis of the nature of news in different mediums across the ages, introducing a unique mathematical model to fit the characteristics of information spread. This model enhances the information diffusion…

Social and Information Networks · Computer Science 2017-06-23 James Flamino , Alexander Norman , Madison Wyatt

The diffusion of ideas is often closely connected to the creation and diffusion of knowledge and to the technological evolution of society. Because of this, knowledge creation, exchange and its subsequent transformation into innovations for…

Physics and Society · Physics 2012-08-31 Nikolay K. Vitanov , Marcel R. Ausloos

This article examines how diseases on random networks spread in time. The disease is described by a probability distribution function for the number of infected and recovered individuals, and the probability distribution is described by a…

Adaptation and Self-Organizing Systems · Physics 2013-05-29 M. Marder

We investigate the phenomenon of diffusion in a countably infinite society of individuals interacting with their neighbors in a network. At a given time, each individual is either active or inactive. The diffusion is driven by two…

Social and Information Networks · Computer Science 2021-08-13 Michel Grabisch , Agnieszka Rusinowska , Xavier Venel

We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular those mediated by the Internet). We use analytical and…

Physics and Society · Physics 2009-11-13 Maziar Nekovee , Y. Moreno , G. Bianconi , M. Marsili

We empirically analyze two versions of the well-known "randomized rumor spreading" protocol to disseminate a piece of information in networks. In the classical model, in each round each informed node informs a random neighbor. In the…

Data Structures and Algorithms · Computer Science 2015-03-17 Benjamin Doerr , Tobias Friedrich , Marvin Künnemann , Thomas Sauerwald

Diffusion of information in networks is at the core of many problems in AI. Common examples include the spread of ideas and rumors as well as marketing campaigns. Typically, information diffuses at a non-linear rate, for example, if markets…

Probability · Mathematics 2024-12-04 Tobias Friedrich , Andreas Göbel , Nicolas Klodt , Martin S. Krejca , Marcus Pappik

Viruses constantly undergo mutations with genomic changes. The propagation of variants of viruses is an interesting problem. We perform numerical simulations of the microscopic epidemic model based on network theory for the spread of…

Populations and Evolution · Quantitative Biology 2025-01-14 Yutaka Okabe , Akira Shudo

Online social networks play a major role in the spread of information at very large scale and it becomes essential to provide means to analyse this phenomenon. In this paper we address the issue of predicting the temporal dynamics of the…

Social and Information Networks · Computer Science 2013-03-26 Adrien Guille , Hakim Hacid , Cécile Favre

This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

The disease spreading on complex networks is studied in SIR model. Simulations on empirical complex networks reveal two specific regimes of disease spreading: local containment and epidemic outbreak. The variables measuring the extent of…

Physics and Society · Physics 2013-04-02 Alen Lancic , Nino Antulov-Fantulin , Mile Sikic , Hrvoje Stefancic

Misleading newsletters can shape individuals' perceptions, and pose a threat to societies; as we witnessed by lowering the severity of follow-up stay-at-home orders and burdening a significant challenge to the fight against COVID-19. In…

Physics and Society · Physics 2024-12-23 Lucila G. Alvarez-Zuzek , Lucio La Cava , Jelena Grujic , Riccardo Gallotti

For the study of information propagation, one fundamental problem is uncovering universal laws governing the dynamics of information propagation. This problem, from the microscopic perspective, is formulated as estimating the propagation…

Social and Information Networks · Computer Science 2014-06-19 Junming Huang , Chao Li , Wen-Qiang Wang , Hua-Wei Shen , Guojie Li , Xue-Qi Cheng

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection. In our model, a population dynamically forms an opinion…

Dynamical Systems · Mathematics 2025-03-20 Marcela Ordorica Arango , Anastasia Bizyaeva , Simon A. Levin , Naomi Ehrich Leonard

The propagation of rumours on social media poses an important threat to societies, so that various techniques for rumour detection have been proposed recently. Yet, existing work focuses on \emph{what} entities constitute a rumour, but…

Social and Information Networks · Computer Science 2022-07-19 Thanh Tam Nguyen , Thanh Cong Phan , Minh Hieu Nguyen , Matthias Weidlich , Hongzhi Yin , Jun Jo , Quoc Viet Hung Nguyen