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Whole genome sequencing of pathogens from multiple hosts in an epidemic offers the potential to investigate who infected whom with unparalleled resolution, potentially yielding important insights into disease dynamics and the impact of…

An outstanding problem of interdisciplinary interest is to understand quantitatively the role of social contacts in contagion dynamics. In general, there are two types of contacts: close ones among friends, colleagues and family members,…

物理与社会 · 物理学 2018-12-26 Peng-Bi Cui , Wei Wang , Shi-Min Cai , Tao Zhou , Ying-Cheng Lai

The individual-based model of simple contagion processes is considered on regular graphs. This model explicitly incorporates the adjacency matrix of the network enabling us to study the effect of network structure on the dynamic of the…

物理与社会 · 物理学 2025-12-10 Noémi Nagy , Sándor Horváth , Balázs Maga , Péter L. Simon

Temporal higher-order networks, where each hyperlink involving a group of nodes are activated or deactivated over time, are recently used to represent complex systems such as social contacts, interactions or collaborations that occur at…

物理与社会 · 物理学 2024-12-18 Shilun Zhang , Alberto Ceria , Huijuan Wang

Recently, contagion-based (disease, information, etc.) spreading on social networks has been extensively studied. In this paper, other than traditional full interaction, we propose a partial interaction based spreading model, considering…

物理与社会 · 物理学 2015-06-17 Zi-Ke Zhang , Chu-Xu Zhang , Xiao-Pu Han , Chuang Liu

Information diffusion in networks can be used to model many real-world phenomena, including rumor spreading on online social networks, epidemics in human beings, and malware on the Internet. Informally speaking, the source localization…

社会与信息网络 · 计算机科学 2015-10-08 Kai Zhu , Lei Ying

Percolation on two-dimensional small-world networks has been proposed as a model for the spread of plant diseases. In this paper we give an analytic solution of this model using a combination of generating function methods and high-order…

统计力学 · 物理学 2009-11-07 M. E. J. Newman , I. Jensen , R. M. Ziff

Understanding propagation structures in graph diffusion processes, such as epidemic spread or misinformation diffusion, is a fundamental yet challenging problem. While existing methods primarily focus on source localization, they cannot…

社会与信息网络 · 计算机科学 2025-03-04 Zeeshan Memon , Chen Ling , Ruochen Kong , Vishwanath Seshagiri , Andreas Zufle , Liang Zhao

Contagion processes in social systems often involve interactions that go beyond pairwise contacts. Higher-order networks, represented as hypergraphs, have been widely used to model multi-body interactions, and their presence can drastically…

物理与社会 · 物理学 2026-01-26 Andrés Guzmán , Federico Malizia , István Z. Kiss

Contact tracing has been extensively studied from different perspectives in recent years. However, there is no clear indication of why this intervention has proven effective in some epidemics (SARS) and mostly ineffective in some others…

社会与信息网络 · 计算机科学 2021-03-01 Quyu Kong , Manuel Garcia-Herranz , Ivan Dotu , Manuel Cebrian

Prior social contagion models consider the spread of either one contagion at a time on interdependent networks or multiple contagions on single layer networks or under assumptions of competition. We propose a new threshold model for the…

社会与信息网络 · 计算机科学 2018-09-13 Ho-Chun Herbert Chang , Feng Fu

The spread of socially-learnt behaviours occurs in many animal species, and understanding how behaviours spread can provide novel insights into the causes and consequences of sociality. Within wild populations, behaviour spread is often…

社会与信息网络 · 计算机科学 2020-12-17 Josh A. Firth , Gregory F. Albery , Kristina B. Beck , Ivan Jarić , Lewis G. Spurgin , Ben C. Sheldon , Will Hoppitt

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

物理与社会 · 物理学 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski

Nowadays it is not uncommon to have to deal with dissemination on multi-layered networks and often finding the source of said propagation can be a crucial task. In this paper we tackle this exact problem with a maximum likelihood approach…

社会与信息网络 · 计算机科学 2020-12-04 Robert Paluch , Łukasz G. Gajewski , K. Suchecki , Janusz A. Hołyst

Diffusion source identification on networks is a problem of fundamental importance in a broad class of applications, including rumor controlling and virus identification. Though this problem has received significant recent attention, most…

社会与信息网络 · 计算机科学 2021-06-18 Quinlan Dawkins , Tianxi Li , Haifeng Xu

We consider the so-called Independent Cascade Model for rumor spreading or epidemic processes popularized by Kempe et al.\ [2003]. In this model, a small subset of nodes from a network are the source of a rumor. In discrete time steps, each…

社会与信息网络 · 计算机科学 2022-05-25 Petra Berenbrink , Max Hahn-Klimroth , Dominik Kaaser , Lena Krieg , Malin Rau

Disease, opinions, ideas, gossip, etc. all spread on social networks. How these networks are connected (the network structure) influences the dynamics of the spreading processes. By investigating these relationships one gains understanding…

种群与进化 · 定量生物学 2017-06-29 Petter Holme

Propagation of contagion in networks depends on the graph topology. This paper is concerned with studying the time-asymptotic behavior of the extended contact processes on static, undirected, finite-size networks. This is a contact process…

物理与社会 · 物理学 2015-07-03 June Zhang , José M. F. Moura

Complex contagion models have been developed to understand a wide range of social phenomena such as adoption of cultural fads, the diffusion of belief, norms, and innovations in social networks, and the rise of collective action to join a…

物理与社会 · 物理学 2018-07-04 Yong Zhuang , Osman Yağan

Motivated by the analysis of social networks, we study a model of random networks that has both a given degree distribution and a tunable clustering coefficient. We consider two types of growth processes on these graphs: diffusion and…

概率论 · 数学 2012-02-23 Emilie Coupechoux , Marc Lelarge