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We study four discrete time stochastic systems on $\bbN$ modeling processes of rumour spreading. The involved individuals can either have an active or a passive role, speaking up or asking for the rumour. The appetite in spreading or…

Probability · Mathematics 2019-03-05 Valdivino V. Junior , Fabio P. Machado , Mauricio Zuluaga

In this paper we consider a model of spreading information in heterogeneous systems wherein we have two kinds of objects. Some of them are active and others are passive. Active objects can, if they possess information, share it with an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Jacek Cichoń , Zbigniew Goł\eobbiewski , Marcin Kardas , Marek Klonowski , Filip Zagórski

We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a random sample of equally sized sub-populations for each state,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

The individual-based models constitute a set of widely implemented tools to analyze the incidence of individuals heterogeneities in the spread of an infectious disease. In this work we focus our attention on human contacts heterogeneities…

Populations and Evolution · Quantitative Biology 2011-04-27 A. D. Medus , C. O. Dorso

How can we model influence between individuals in a social system, even when the network of interactions is unknown? In this article, we review the literature on the "influence model," which utilizes independent time series to estimate how…

Social and Information Networks · Computer Science 2012-02-28 Wei Pan , Manuel Cebrian , Wen Dong , Taemie Kim , James Fowler , Alex Pentland

Most studies on social influence have focused on direct influence, while another interesting question can be raised as whether indirect influence exists between two users who're not directly connected in the network and what affects such…

Social and Information Networks · Computer Science 2012-03-13 Xin Shuai , Ying Ding , Jerome Busemeyer

We investigate the problem of cross-cultural interactions through mass media in a model where two populations of social agents, each with its own internal dynamics, get information about each other through reciprocal global interactions. As…

Physics and Society · Physics 2012-12-18 J. C. González-Avella , M. G. Cosenza , M. San Miguel

Infectious disease modeling is used to forecast epidemics and assess the effectiveness of intervention strategies. Although the core assumption of mass-action models of homogeneously mixed population is often implausible, they are…

Physics and Society · Physics 2024-08-29 Thien-Minh Le , Jukka-Pekka Onnela

Spreading broadly refers to the notion of an entity propagating throughout a networked system via its interacting components. Evidence of its ubiquity and severity can be seen in a range of phenomena, from disease epidemics to financial…

Physics and Society · Physics 2018-04-25 Christos Ellinas

It has recently become possible to study the dynamics of information diffusion in techno-social systems at scale, due to the emergence of online platforms, such as Twitter, with millions of users. One question that systematically recurs is…

Physics and Society · Physics 2017-11-01 Bjarke Mønsted , Piotr Sapieżyński , Emilio Ferrara , Sune Lehmann

Social mediator robots facilitate human-human interactions by producing behavior strategies that positively influence how humans interact with each other in social settings. As robots for social mediation gain traction in the field of…

Robotics · Computer Science 2023-07-03 Hifza Javed , Nawid Jamali

The dynamics of information dissemination in social networks is of paramount importance in processes such as rumors or fads propagation, spread of product innovations or "word-of-mouth" communications. Due to the difficulty in tracking a…

Physics and Society · Physics 2010-03-01 Jose Luis Iribarren , Esteban Moro

This paper presents a stochastic delayed differential model for rumor propagation during infodemic that incorporates human behavioral response, public skepticism and fact-checking mechanisms. A discrete time delay is introduced to model…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lamia Alyami , Anis Hamadouche , Amir Hussain

We study the asymptotic macroscopic properties of the mixed majority-minority game, modeling a population in which two types of heterogeneous adaptive agents, namely ``fundamentalists'' driven by differentiation and ``trend-followers''…

Statistical Mechanics · Physics 2009-11-10 A. De Martino , I. Giardina , G. Mosetti

We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this special kind of stifler as an uninterested individual. Our…

Probability · Mathematics 2011-05-24 Elcio Lebensztayn , Fábio P. Machado , Pablo M. Rodríguez

Related to an idea of Lewin, a mathematical model for behavioral changes under the influence of a social field is developed. The social field reflects public opinion, social norms and trends. It is not only given by external factors (the…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Opinion formation is one of the most fascinating phenomena observed in human communities, and the ability to predict and to control the dynamics of this process is interesting from the theoretical as well as practical point of view.…

Physics and Society · Physics 2022-11-23 Krzysztof Domino , Jarosław Adam Miszczak

Promoting information spreading is a booming research topic in network science community. However, the exiting studies about promoting information spreading seldom took into account the human memory, which plays an important role in the…

Physics and Society · Physics 2017-06-28 Lei Gao , Wei Wang , Panpan Shu , Hui Gao , Lidia A. Braunstein

Developing the ability to comprehensively study infections in small populations enables us to improve epidemic models and better advise individuals about potential risks to their health. We currently have a limited understanding of how…

Applications · Statistics 2014-10-14 Wen Dong , Katherine A. Heller , Alex Sandy Pentland

This paper addresses the estimation of a dynamic interaction network, a network of influence among individuals, under projected visual stimuli to quantify the influences of inter-individual interactions and external stimuli on collective…

Social and Information Networks · Computer Science 2026-03-05 Hiroaki Kawashima , Raj Rajeshwar Malinda , Saeko Takizawa