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Most theoretical tools available for the analysis of spreading processes over networks assume exponentially distributed transmission and recovery times. In practice, the empirical distribution of transmission times for many real spreading…

社会与信息网络 · 计算机科学 2016-11-04 Masaki Ogura , Victor M. Preciado

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

社会与信息网络 · 计算机科学 2019-01-07 Gerrit Großmann , Verena Wolf

A spreading process can be observed when a particular behavior, substance, or disease spreads through a population over time in social and biological systems. It is widely believed that contact interactions among individual entities play an…

物理与社会 · 物理学 2024-01-08 Jaeyoung Kwak , Michael H. Lees , Wentong Cai

Nowadays, one of the challenges we face when carrying out modeling of epidemic spreading is to develop methods to control disease transmission. In this article we study how the spreading of knowledge of a disease affects the propagation of…

A dynamic model of a society is studied where each person is an uncorrelated and non-interacting random walker. A dynamical random graph represents the acquaintance network of the society whose nodes are the individuals and links are the…

统计力学 · 物理学 2009-11-10 S. S. Manna

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

In this work we consider a model of epidemic spreading coupled with an opinion dynamics in a fully-connected population. Regarding the opinion dynamics, the individuals may be in two distinct states, namely in favor or against a vaccination…

物理与社会 · 物理学 2016-10-28 Marcelo A. Pires , Nuno Crokidakis

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

Mobile phones provide a powerful sensing platform that researchers may adopt to understand proximity interactions among people and the diffusion, through these interactions, of diseases, behaviors, and opinions. However, it remains a…

社会与信息网络 · 计算机科学 2019-05-08 Wen Dong , Tong Guan , Bruno Lepri , Chunming Qiao

We study the changes in emotional states induced by reading and participating in online discussions, empirically testing a computational model of online emotional interaction. Using principles of dynamical systems, we quantify changes in…

人机交互 · 计算机科学 2016-08-11 David Garcia , Arvid Kappas , Dennis Küster , Frank Schweitzer

Human close-range proximity interactions are the key determinant for spreading processes like knowledge diffusion, norm adoption, and infectious disease transmission. These dynamical processes can be modeled with time-respecting paths on…

物理与社会 · 物理学 2026-05-28 Silvia Guerrini , Ciro Cattuto , Lorenzo Dall'Amico

Several systems can be modeled as sets of interdependent networks where each network contains distinct nodes. Diffusion processes like the spreading of a disease or the propagation of information constitute fundamental phenomena occurring…

社会与信息网络 · 计算机科学 2015-06-23 Mostafa Salehi , Payam Siyari , Matteo Magnani , Danilo Montesi

Since the advent of the internet, communication paradigms have continuously evolved, resulting in a present-day landscape where the dynamics of information dissemination have undergone a complete transformation compared to the past. In this…

A diffusion process for charge distributions in a phase space is examined. The corresponding charge moves in a force field and under an action of a random field. There are the diffusion motions for coordinates and for momenta. In our model,…

数学物理 · 物理学 2008-03-19 E. M. Beniaminov

Cumulative effect in social contagions underlies many studies on the spread of innovation, behaviors, and influence. However, few large-scale empirical studies are conducted to validate the existence of cumulative effect in the information…

社会与信息网络 · 计算机科学 2014-03-05 Peng Bao , Hua-Wei Shen , Wei Chen , Xue-Qi Cheng

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

最优化与控制 · 数学 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

We define a stochastic reaction-diffusion process that describes a consensus formation in a non-sedentary population. The process is a diffusive version of the Majority Vote model, where the state update follows two stages: in the first…

统计力学 · 物理学 2022-03-14 J. R. S. Lima , F. W. S. Lima , T. F. A. Alves , G. A. Alves , A. Macedo-Filho

Axelrod's model describes the dissemination of a set of cultural traits in a society constituted by individual agents. In a social context, nevertheless, individual choices toward a specific attitude are also at the basis of the formation…

物理与社会 · 物理学 2011-03-07 Andrea Apolloni , Floriana Gargiulo

We present new empirical evidence, based on millions of interactions on Twitter, confirming that human contacts scale with population sizes. We integrate such observations into a reaction-diffusion metapopulation framework providing an…

物理与社会 · 物理学 2014-11-27 Michele Tizzoni , Kaiyuan Sun , Diego Benusiglio , Márton Karsai , Nicola Perra

In many developing countries, public transit plays an important role in daily life. However, few existing methods have considered the influence of public transit in their models. In this work, we present a dual-perspective view of the…

社会与信息网络 · 计算机科学 2018-01-30 Zhanwei Du , Yuan Bai