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We propose a novel class of separable multilayer network models to capture cross-layer dependencies in multilayer networks, enabling the analysis of how interactions in one or more layers may influence interactions in other layers. Our…

Statistics Theory · Mathematics 2025-01-10 Jiaheng Li , Jonathan R. Stewart

New ideas and technologies adopted by a small number of individuals occasionally spread globally through a complex web of social ties. Here, we present a simple and general approximation method, namely, a message-passing approach, that…

Physics and Society · Physics 2022-09-01 Teruyoshi Kobayashi , Tomokatsu Onaga

Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure…

Physics and Society · Physics 2017-09-07 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

We present a continuous formulation of epidemic spreading on multilayer networks using a tensorial representation, extending the models of monoplex networks to this context. We derive analytical expressions for the epidemic threshold of the…

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

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…

An epidemic spreading in a network calls for a decision on the part of the network members: They should decide whether to protect themselves or not. Their decision depends on the trade-off between their perceived risk of being infected and…

Systems and Control · Computer Science 2015-03-17 George Theodorakopoulos , Jean-Yves Le Boudec , John S. Baras

Elements of networks interact in many ways, so modeling them with graphs requires multiple types of edges (or network layers). Here we show that such multiplex networks are generically more vulnerable to global cascades than simplex…

Physics and Society · Physics 2012-05-01 Charles D. Brummitt , Kyu-Min Lee , K. -I. Goh

The spontaneous behavioral changes of the agents during an epidemic can have significant effects on the delay and the prevalence of its spread. In this work, we study a social distancing game among the agents of a population, who determine…

Physics and Society · Physics 2020-07-13 A. -R. Lagos , I. Kordonis , G. P. Papavassilopoulos

A model for the spreading of online information or "memes" on multiplex networks is introduced and analyzed using branching-process methods. The model generalizes that of [Gleeson et al., Phys.Rev. X., 2016] in two ways. First, even for a…

Physics and Society · Physics 2019-03-01 Joseph D. O'Brien , Ioannis K. Dassios , James P. Gleeson

We study SIS epidemic spreading models under population dispersal on multi-layer networks. We consider a patchy environment in which each patch comprises individuals belonging to different classes. Individuals disperse to other patches on a…

Optimization and Control · Mathematics 2022-11-02 Vishal Abhishek , Vaibhav Srivastava

We study the non-equilibrium phase transition in a model for epidemic spreading on scale-free networks. The model consists of two particle species $A$ and $B$, and the coupling between them is taken to be asymmetric; $A$ induces $B$ while…

Statistical Mechanics · Physics 2009-11-11 Yong-Yeol Ahn , Naoki Masuda , Hawoong Jeong , Jae Dong Noh

A susceptible-infected-susceptible (SIS) model of multiple contagions on multilayer networks is developed to incorporate different spreading channels and disease mutations. The basic reproduction number for this model is estimated…

Physics and Society · Physics 2020-03-31 Petar Jovanovski , Igor Tomovski , Ljupco Kocarev

The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of "influential spreaders" for maximizing information dissemination and…

Social and Information Networks · Computer Science 2022-06-01 Andrey Y. Lokhov , David Saad

We study the dynamics of epidemic spreading processes aimed at spontaneous dissemination of information updates in populations with complex connectivity patterns. The influence of the topological structure of the network in these processes…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Maziar Nekovee , Alessandro Vespignani

We study the changes of opinions about vaccination together with the evolution of a disease. In our model we consider a multiplex network consisting of two layers. One of the layers corresponds to a social network where people share their…

Physics and Society · Physics 2017-12-01 L. G. Alvarez-Zuzek , Cristian E. La Rocca , J. R. Iglesias , L. A. Braunstein

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

Physics and Society · Physics 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai

A multiplex social network captures multiple types of social relations among the same set of people, with each layer representing a distinct type of relationship. Understanding the structure of such systems allows us to identify how social…

Social and Information Networks · Computer Science 2025-08-08 Nikolaos Nakis , Sune Lehmann , Nicholas A. Christakis , Morten Mørup

The ways in which an innovation (e.g., new behaviour, idea, technology, product) diffuses among people can determine its success or failure. In this paper, we address the problem of diffusion of innovations over multiplex social networks…

Social and Information Networks · Computer Science 2014-08-26 Rasoul Ramezanian , Mostafa Salehi , Matteo Magnani , Danilo Montesi

In temporal networks, both the topology of the underlying network and the timings of interaction events can be crucial in determining how some dynamic process mediated by the network unfolds. We have explored the limiting case of the speed…

Physics and Society · Physics 2012-05-28 Mikko Kivelä , Raj Kumar Pan , Kimmo Kaski , János Kertész , Jari Saramäki , Márton Karsai