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Critical thinking and skepticism are fundamental mechanisms that one may use to prevent the spreading of rumors, fake-news and misinformation. We consider a simple model in which agents without previous contact with the rumor, being…

物理与社会 · 物理学 2020-07-01 Marco Antonio Amaral , W. G. Dantas , Jeferson J. Arenzon

We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number of stifling experiences. We consider the process with a…

概率论 · 数学 2010-11-12 Elcio Lebensztayn , Fábio P. Machado , Pablo M. Rodríguez

We propose an SIS competition model describing the propagation of conflicting rumors, such as fake news and its corrections. This simple model captures the interaction between rumor propagation and opinion dynamics, where rumors drive…

物理与社会 · 物理学 2026-05-27 Yu Takiguchi , Koji Nemoto

We study a rumor spreading model where individuals are connected via a network structure. Initially, only a small subset of the individuals are spreading a rumor. Each individual who is connected to a spreader, starts spreading the rumor…

社会与信息网络 · 计算机科学 2023-05-16 Ahad N. Zehmakan , Charlotte Out , Sajjad Hesamipour Khelejan

Rumor spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumor is propagated by pairwise interactions between spreaders and ignorants. Spreaders can become stiflers only after…

Junior, Machado and Zuluaga (2011) studied a model to understand the spread of a rumour. Their model consists of individuals situated at the integer points of the line $\N$. An individual at the origin $0$ starts a rumour and passes it to…

统计理论 · 数学 2018-12-05 Farkhondeh Alsadat Sajadi , Rahul Roy

We study the diffusion of a true and a false message (the rumor) in a social network. Upon hearing a message, individuals may believe it, disbelieve it, or debunk it through costly verification. Whenever the truth survives in steady state,…

理论经济学 · 经济学 2022-05-12 Luca P. Merlino , Paolo Pin , Nicole Tabasso

In this paper we propose a deterministic mathematical model that attempts to explain the propagation of a rumor using SIRS type epidemiological models with temporary immunity and nonlinear incidence rate. In particular, we speculate about…

物理与社会 · 物理学 2017-09-07 René Escalante , Marco Odehnal

The dynamics of fake news and rumor spreading is investigated using a model with three kinds of agents who are respectively the Seeds, the Agnostics and the Others. While Seeds are the ones who start spreading the rumor being adamantly…

离散数学 · 计算机科学 2020-08-26 Ahad N. Zehmakan , Serge Galam

The spread of rumors, which are known as unverified statements of uncertain origin, may cause tremendous number of social problems. If it would be possible to identify factors affecting spreading a rumor (such as agents' desires, trust…

社会与信息网络 · 计算机科学 2014-10-23 Masoud Amoozgar , Rasoul Ramezanian

We report numerical evidence that an epidemic-like model, which can be interpreted as the propagation of a rumor, exhibits critical behavior at a finite randomness of the underlying small-world network. The transition occurs between a…

统计力学 · 物理学 2009-11-07 Damian H. Zanette

The spread of ideas in online social networks is a crucial phenomenon to understand nowadays the proliferation of fake news and their impact in democracies. This makes necessary to use models that mimic the circulation of rumors. The law of…

社会与信息网络 · 计算机科学 2019-10-18 Jesus San Martin , Fatima Drubi , Daniel Rodriguez-Perez

The burst in the use of online social networks over the last decade has provided evidence that current rumor spreading models miss some fundamental ingredients in order to reproduce how information is disseminated. In particular, recent…

物理与社会 · 物理学 2013-04-02 Javier Borge-Holthoefer , Sandro Meloni , Bruno Gonçalves , Yamir Moreno

Rumor models consider that information transmission occurs with the same probability between each pair of nodes. However, this assumption is not observed in social networks, which contain influential spreaders. To overcome this limitation,…

物理与社会 · 物理学 2017-03-08 Didier A. Vega-Oliveros , Luciano da F. Costa , Francisco A. Rodrigues

This paper is about simulating the spread of opinions in a society and about finding ways to counteract that spread. To abstract away from potentially emotionally laden opinions, we instead simulate the spread of a zombie outbreak in a…

社会与信息网络 · 计算机科学 2014-01-27 Ronald Hochreiter , Christoph Waldhauser

In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population. These bifurcations show that although linear instability of…

种群与进化 · 定量生物学 2022-07-26 Robert F. Allen , Cassandra Jens , Theodore J. Wendt

The spread of disinformation (maliciously spread false information) in online social networks has become an important problem in today's society. Disinformation's spread is facilitated by the fact that individuals often accept false…

物理与社会 · 物理学 2025-04-15 Corbit R. Sampson , Juan G. Restrepo

We propose a mathematical model to measure how multiple repetitions may influence in the ultimate proportion of the population never hearing a rumor during a given outbreak. The model is a multi-dimensional continuous-time Markov chain that…

We study the dynamics of an epidemic-like model for the spread of a rumor on a small-world network. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of the network…

统计力学 · 物理学 2009-11-07 Damian H. Zanette

We show that a simple model for the propagation of a rumor on a small-world network exhibits critical behavior at a finite randomness of the underlying graph. The transition occurs between a regime where the rumor "dies" in a small…

统计力学 · 物理学 2007-05-23 Damian H. Zanette
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