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We show how one can trace in a systematic way the coarse-grained solutions of individual-based stochastic epidemic models evolving on heterogeneous complex networks with respect to their topological characteristics. In particular, we have…

Social and Information Networks · Computer Science 2023-03-24 Andreas I. Reppas , Konstantinos Spiliotis , Constantinos Siettos

Proximity networks are time-varying graphs representing the closeness among humans moving in a physical space. Their properties have been extensively studied in the past decade as they critically affect the behavior of spreading phenomena…

Physics and Society · Physics 2019-11-28 Fragkiskos Papadopoulos , Marco Antonio Rodríguez Flores

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

To provide a comprehensive view for dynamics of and on many real-world temporal networks, we investigate the interplay of temporal connectivity patterns and spreading phenomena, in terms of the susceptible-infected-removed (SIR) model on…

Physics and Society · Physics 2019-07-23 Hyewon Kim , Meesoon Ha , Hawoong Jeong

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

Multiagent Systems · Computer Science 2020-07-03 Orowa Sikder

Recent studies have demonstrated that the allocation of individual resources has a significant influence on the dynamics of epidemic spreading. In the real scenario, individuals have a different level of awareness for self-protection when…

Physics and Society · Physics 2020-06-15 Xiaolong Chen , Kai Gong , Ruijie Wang , Shimin Cai , Wei Wang

Recent empirical observations suggest a heterogeneous nature of human activities. The heavy-tailed inter-event time distribution at population level is well accepted, while whether the individual acts in a heterogeneous way is still under…

Data Analysis, Statistics and Probability · Physics 2015-05-28 Zimo Yang , Ai-Xiang Cui , Tao Zhou

Spreading dynamics has been considered to take place in temporal networks, where temporal interaction patterns between nodes show non-Poissonian bursty nature. The effects of inhomogeneous interevent times (IETs) on the spreading have been…

Physics and Society · Physics 2018-10-18 Takayuki Hiraoka , Hang-Hyun Jo

Link prediction appears as a central problem of network science, as it calls for unfolding the mechanisms that govern the micro-dynamics of the network. In this work, we are interested in ego-networks, that is the mere information of…

Social and Information Networks · Computer Science 2015-12-16 Lionel Tabourier , Anne-Sophie Libert , Renaud Lambiotte

The dynamics of herd immunity depend crucially on the interaction between collective social behavior and disease transmission, but the role of heterogeneity in this context frequently remains unclear. Here, we dissect this co-evolutionary…

Physics and Society · Physics 2026-02-05 Mehran Noori , Nahid Azimi-Tafreshi , Mohammad Salahshour

Network--based epidemic models that account for heterogeneous contact patterns are extensively used to predict and control the diffusion of infectious diseases. We use census and survey data to reconstruct a geo--referenced and…

Social and Information Networks · Computer Science 2026-05-19 Alessandro Celestini , Francesca Colaiori , Stefano Guarino , Enrico Mastrostefano , Lena Rebecca Zastrow

The event graph representation of temporal networks suggests that the connectivity of temporal structures can be mapped to a directed percolation problem. However, similar to percolation theory on static networks, this mapping is valid…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä

Like other social animals and biological systems, human groups constantly exchange information. Network models provide a way of quantifying this process by representing the pathways of information propagation between individuals. Existing…

Social and Information Networks · Computer Science 2024-10-18 Niek Kerssies , Jose Segovia Martin , James Winters

Network epidemiology often assumes that the relationships defining the social network of a population are static. The dynamics of relationships is only taken indirectly into account, by assuming that the relevant information to study…

Populations and Evolution · Quantitative Biology 2010-04-09 Sebastian Risau-Gusman

Temporal dynamics, characterised by time-varying degree heterogeneity and homophily effects, are often exhibited in many real-world networks. As observed in an MIT Social Evolution study, the in-degree and out-degree of the nodes show…

Methodology · Statistics 2025-07-29 Yuguo Chen , Lianqiang Qu , Jinfeng Xu , Ting Yan , Yunpeng Zhou

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

Physics and Society · Physics 2016-07-19 Vikram Sagar , Yi Zhao

In eukaryotic cells, mitochondria form networks that range from highly fused interconnected structures to fragmented populations of individual organelles that undergo transient interactions. These structures can be described as temporal…

Biological Physics · Physics 2026-02-24 Keaton B. Holt , Camryn Zurita , Lizzy Teryoshin , Samantha C. Lewis , Elena F. Koslover

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

Physics and Society · Physics 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière

Understanding the spread of diseases through complex networks is of great interest where realistic, heterogeneous contact patterns play a crucial role in the spread. Most works have focused on mean-field behavior -- quantifying how contact…

Statistical Mechanics · Physics 2022-12-14 Elad Korngut , Jason Hindes , Michael Assaf