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Temporal networks, whose links are activated or deactivated over time, are used to represent complex systems such as social interactions or collaborations occurring at specific times. Such networks facilitate the spread of information and…

Social and Information Networks · Computer Science 2025-02-27 Tianrui Mao , Shilun Zhang , Alan Hanjalic , Huijuan Wang

There is a commonality among contagious diseases, tweets, urban crimes, nuclear reactions, and neuronal firings that past events facilitate the future occurrence of events. The spread of events has been extensively studied such that the…

Physics and Society · Physics 2016-09-16 Tomokatsu Onaga , Shigeru Shinomoto

Infectious diseases typically spread over a contact network with millions of individuals, whose sheer size is a tremendous challenge to analysing and controlling an epidemic outbreak. For some contact networks, it is possible to group…

Physics and Society · Physics 2021-07-23 Bastian Prasse , Karel Devriendt , Piet Van Mieghem

The time variation of contacts in a networked system may fundamentally alter the properties of spreading processes and affect the condition for large-scale propagation, as encoded in the epidemic threshold. Despite the great interest in the…

Physics and Society · Physics 2015-04-14 Eugenio Valdano , Luca Ferreri , Chiara Poletto , Vittoria Colizza

The spread of an infectious disease can be promoted by previous infections with other pathogens. This cooperative effect can give rise to violent outbreaks, reflecting the presence of an abrupt epidemic transition. As for other diffusive…

Physics and Society · Physics 2019-02-06 Peng-Bi Cui , Francesca Colaiori , Claudio Castellano

The concurrency of edges, quantified by the number of edges that share a common node at a given time point, may be an important determinant of epidemic processes in temporal networks. We propose theoretically tractable Markovian temporal…

Physics and Society · Physics 2024-05-09 Ruodan Liu , Masaki Ogura , Elohim Fonseca Dos Reis , Naoki Masuda

Multigraphs are graphs in which multiple links between pairs of nodes are allowed, whereas they are forbidden in simple graphs, the latter being widely used in network science. Simple graphs generated by the configuration model have served…

Physics and Society · Physics 2026-05-29 Paulo H. Lorenzoni , Wesley Cota , Francisco A. Rodrigues , Silvio C. Ferreira

We study the effect of heterogeneous temporal activations on epidemic spreading in temporal networks. We focus on the susceptible-infected-susceptible (SIS) model on activity-driven networks with burstiness. By using an activity-based…

Physics and Society · Physics 2019-05-28 Marco Mancastroppa , Alessandro Vezzani , Miguel A. Muñoz , Raffaella Burioni

The manner epidemics occurs in a social network depends on various elements, with two of the most influential being the relationships among individuals in the population and the mechanism of transmission. In this paper, we assume that the…

Dynamical Systems · Mathematics 2024-05-09 Francisco J. Muñoz , Luca Meacci , Juan Carlos Nuño , Mario Primicerio

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

Human behavior plays a critical role in shaping epidemic trajectories. During health crises, people respond in diverse ways in terms of self-protection and adherence to recommended measures, largely reflecting differences in how individuals…

Physics and Society · Physics 2026-01-30 Fabio Mazza , Gabriele Ricci , Francesca Colaiori , Stefano Guarino , Sandro Meloni , Fabio Saracco

Theoretical modeling of computer virus/worm epidemic dynamics is an important problem that has attracted many studies. However, most existing models are adapted from biological epidemic ones. Although biological epidemic models can…

Dynamical Systems · Mathematics 2016-04-08 Shouhuai Xu , Wenlian Lu , Li Xu , Zhenxin Zhan

Dynamical systems running on the top of complex networks has been extensively investigated for decades. But this topic still remains among the most relevant issues in complex network theory due to its range of applicability. The contact…

Physics and Society · Physics 2021-02-03 Angélica S. Mata

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

Physics and Society · Physics 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu

We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on a Susceptible-Infected-Susceptible model in which both nodes…

Adaptation and Self-Organizing Systems · Physics 2024-03-05 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks,…

Physics and Society · Physics 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

The spatial structure of populations is a key element in the understanding of the large scale spreading of epidemics. Motivated by the recent empirical evidence on the heterogeneous properties of transportation and commuting patterns among…

Populations and Evolution · Quantitative Biology 2008-03-19 Vittoria Colizza , Alessandro Vespignani

We study a dynamical model of epidemic spreading on complex networks in which there are explicit correlations among the node's connectivities. For the case of Markovian complex networks, showing only correlations between pairs of nodes, we…

Statistical Mechanics · Physics 2009-11-07 Marian Boguna , Romualdo Pastor-Satorras
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