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In this work, the spread of a contagious disease on a society where the individuals may take precautions is modeled. The primary assumption is that the infected individuals transmit the infection to the susceptible members of the community…

物理与社会 · 物理学 2021-03-16 Semra Gunduc

Communication networks show the small-world property of short paths, but the spreading dynamics in them turns out slow. We follow the time evolution of information propagation through communication networks by using the SI model with…

物理与社会 · 物理学 2011-02-25 M. Karsai , M. Kivelä , R. K. Pan , K. Kaski , J. Kertész , A. -L. Barabási , J. Saramäki

Spreading dynamics of information and diseases are usually analyzed by using a unified framework and analogous models. In this paper, we propose a model to emphasize the essential difference between information spreading and epidemic…

物理与社会 · 物理学 2015-05-28 Linyuan Lü , Duan-Bing Chen , Tao Zhou

Spread of information in crowd is analysed in terms of directed percolation in two-dimensional spatial network. We investigate the case when the information transmitted can be incomplete or damaged. The results indicate that for small or…

物理与社会 · 物理学 2011-04-26 Krzysztof Malarz , Vikas Chandra , Eve Mitleton-Kelly , Krzysztof Kulakowski

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

概率论 · 数学 2007-05-23 Jonathan Rowe , Boris Mitavskiy

We introduce a model for information spreading among a population of N agents diffusing on a square LxL lattice, starting from an informed agent (Source). Information passing from informed to unaware agents occurs whenever the relative…

统计力学 · 物理学 2009-11-11 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

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…

物理与社会 · 物理学 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

We study the diffusion behavior of real-time information. Typically, real-time information is valuable only for a limited time duration, and hence needs to be delivered before its "deadline." Therefore, real-time information is much easier…

社会与信息网络 · 计算机科学 2012-04-03 Dajun Qian , Osman Yağan , Lei Yang , Junshan Zhang

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

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

物理与社会 · 物理学 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

Records of social interactions provide us with new sources of data for understanding how interaction patterns affect collective dynamics. Such human activity patterns are often bursty, i.e., they consist of short periods of intense activity…

物理与社会 · 物理学 2015-06-05 Taro Takaguchi , Naoki Masuda , Petter Holme

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…

物理与社会 · 物理学 2014-08-20 Pengbi Cui , Ming Tang , Zhi-Xi Wu

Understanding how information can efficiently spread in distributed systems under noisy communications is a fundamental question in both biological research and artificial system design. When agents are able to control whom they interact…

分布式、并行与集群计算 · 计算机科学 2024-11-11 Niccolò D'Archivio , Amos Korman , Emanuele Natale , Robin Vacus

We study the spread of a persuasive new idea through a population of continuous-time random walkers in one dimension. The idea spreads via social gatherings involving groups of nearby walkers who act according to a biased "majority rule":…

适应与自组织系统 · 物理学 2017-01-09 James Burridge , Michal Gnacik

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…

Recently, information transmission models motivated by the classical epidemic propagation, have been applied to a wide-range of social systems, generally assume that information mainly transmits among individuals via peer-to-peer…

物理与社会 · 物理学 2015-12-09 Chuang Liu , Xiu-Xiu Zhan , Zi-Ke Zhang , Gui-Quan Sun , Pak Ming Hui

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…

物理与社会 · 物理学 2010-03-01 Jose Luis Iribarren , Esteban Moro

We consider an interacting particle system representing the spread of a rumor by agents on the $d$-dimensional integer lattice. Each agent may be in any of the three states belonging to the set {0,1,2}. Here 0 stands for ignorants, 1 for…

概率论 · 数学 2015-06-04 Cristian F. Coletti , Pablo M. Rodriguez , Rinaldo B. Schinazi

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…

概率论 · 数学 2019-03-05 Valdivino V. Junior , Fabio P. Machado , Mauricio Zuluaga

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

物理与社会 · 物理学 2020-02-13 Sam Moore , Tim Rogers
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