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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…

Social and Information Networks · Computer Science 2025-03-04 Zeeshan Memon , Chen Ling , Ruochen Kong , Vishwanath Seshagiri , Andreas Zufle , Liang Zhao

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped…

Probability · Mathematics 2018-05-23 Sam Moore , Peter Mörters , Tim Rogers

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

Face-to-face social contacts are potentially important transmission routes for acute respiratory infections, and understanding the contact network can improve our ability to predict, contain, and control epidemics. Although workplaces are…

Methodology · Statistics 2015-03-02 Gail E. Potter , Timo Smieszek , Kerstin Sailer

To better understand the inner workings of information spreading, network researchers often use simple models to capture the spreading dynamics. But most models only highlight the effect of local interactions on the global spreading of a…

Physics and Society · Physics 2014-01-29 Atieh Mirshahvalad , Alcides Viamontes , Ludvig Lizana , Martin Rosvall

Mathematical models of infectious disease transmission typically neglect within-host dynamics. Yet within-host dynamics - including pathogen replication, host immune responses, and interactions with microbiota - are crucial not only for…

Populations and Evolution · Quantitative Biology 2023-12-20 Cameron A. Smith , Ben Ashby

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an…

Population dynamics with spatial information is applied to understand the spread of pests. We introduce a model describing how pests spread in discrete space. The number of pest descendants at each site is controlled by local information…

Populations and Evolution · Quantitative Biology 2017-01-20 Woo Seong Jo , Hwang-Yong Kim , Beom Jun Kim

A fundamental feature for understanding the diffusion of innovations through a social group is the manner in which we are influenced by our own social interactions. It is usually assumed that only direct interactions, those that form our…

Physics and Society · Physics 2024-07-08 Manuel Miranda , María Pereda , Angel Sánchez , Ernesto Estrada

Contacts between individuals serve as pathways where infections may propagate. These contact patterns can be represented by network structures. Static structures have been the common modeling paradigm but recent results suggest that…

Populations and Evolution · Quantitative Biology 2012-04-25 Luis Enrique Correa Rocha , Adeline Decuyper , Vincent D Blondel

Widespread interest in the diffusion of information through social networks has produced a large number of Social Dynamics models. A majority of them use theoretical hypothesis to explain their diffusion mechanisms while the few empirically…

Physics and Society · Physics 2011-05-18 José Luis Iribarren , Esteban Moro

Here we investigate the dynamics of indirect reciprocity on networks, a type of social dynamics in which the attitude of individuals, either cooperative or antagonistic, toward other individuals changes over time by their actions and mutual…

Physics and Society · Physics 2021-09-01 Koji Oishi , Shuhei Miyano , Kimmo Kaski , Takashi Shimada

Interactions between commuting individuals can lead to large-scale spreading of rumors, ideas, or disease, even though the commuters have no net displacement. The emergent dynamics depend crucially on the commuting distribution of a…

Populations and Evolution · Quantitative Biology 2023-05-30 Aaron Winn , Adam Konkol , Eleni Katifori

Network-based epidemic models have been extensively employed to understand the spread of infectious diseases, but have generally overlooked the fact that most realistic networks are dynamical rather than static. In this paper, we study a…

Physics and Society · Physics 2019-02-19 Xiao-Long Peng , Ze-Qiong Zhang , Junyuan Yang , Zhen Jin

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

Populations and Evolution · Quantitative Biology 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

Large quantities of data flow on the internet. When a user decides to help the spread of a piece of information (by retweeting, liking, posting content), most research works assumes she does so according to information's content,…

Social and Information Networks · Computer Science 2022-04-22 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

In many real-world scenarios, an individual's local social network carries significant influence over the opinions they form and subsequently propagate. In this paper, we propose a novel diffusion model -- the Pressure Threshold model (PT)…

Social and Information Networks · Computer Science 2026-04-03 Curt Stutsman , Eliot W. Robson , Abhishek K. Umrawal

Dynamical behaviors of complex interacting systems, including brain activities, financial price movements, and physical collective phenomena, are associated with underlying interactions between the system's components. The issue of…

Machine Learning · Computer Science 2025-12-03 Shuhan Zheng , Ziqiang Li , Kantaro Fujiwara , Gouhei Tanaka

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

Dynamical Systems · Mathematics 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

While conventional graphs only characterize pairwise interactions, higher-order networks (hypergraph, simplicial complex) capture multi-body interactions, which is a potentially more suitable modeling framework for a complex real system.…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Shaoxuan Cui , Fangzhou Liu , Hildeberto Jardón-Kojakhmetov , Ming Cao