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The impact that information diffusion has on epidemic spreading has recently attracted much attention. As a disease begins to spread in the population, information about the disease is transmitted to others, which in turn has an effect on…

Physics and Society · Physics 2015-06-15 Xiu-Xiu Zhan , Chuang Liu , Ge Zhou , Zi-Ke Zhang , Gui-Quan Sun , Jonathan J. H. Zhu

The paper deals with the spread of two competing viruses over a network of population nodes, accounting for pairwise interactions and higher-order interactions (HOI) within and between the population nodes. We study the competitive…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Sebin Gracy , Brian D. O. Anderson , Mengbin Ye , Cesar A. Uribe

Sexual partnerships that overlap in time (concurrent relationships) may play a significant role in the HIV epidemic, but the precise effect is unclear. We derive edge-based compartmental models of disease spread in idealized dynamic…

Populations and Evolution · Quantitative Biology 2018-02-07 Joel C. Miller , Anja C. Slim

We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the network degree fluctuations, signaling that epidemics spread…

Disordered Systems and Neural Networks · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Epidemic-like spreading processes on top of multilayered interconnected complex networks reveal a rich phase diagram of intertwined competition effects. A recent study by the authors [Granell et al. Phys. Rev. Lett. 111, 128701 (2013)]…

Physics and Society · Physics 2014-07-16 Clara Granell , Sergio Gomez , Alex Arenas

The rate of adoption of new information depends on reinforcement from multiple sources in a way that often cannot be described by simple contagion processes. In such cases, contagion is said to be complex. Complex contagion happens in the…

Physics and Society · Physics 2019-06-21 Vítor V. Vasconcelos , Simon A. Levin , Flávio L. Pinheiro

We investigate the Susceptible-Infectious-Recovered contagion dynamics in a system of self-propelled particles with polar alignment. Using agent-based simulations, we analyze the outbreak process for different combinations of the spatial…

Adaptation and Self-Organizing Systems · Physics 2021-06-16 Yinong Zhao , Cristián Huepe , Pawel Romanczuk

We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence each other bidirectionally. In particular, edges appear and…

Probability · Mathematics 2026-02-17 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

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

Up to now, the effects of having heterogeneous networks of contacts have been studied mostly for diseases which are not persistent in time, i.e., for diseases where the infectious period can be considered very small compared to the lifetime…

Physics and Society · Physics 2015-05-18 J. Sanz , L. M. Floria , Y. Moreno

We develop a theoretical framework for the study of epidemic-like social contagion in large scale social systems. We consider the most general setting in which different communication platforms or categories form multiplex networks.…

Physics and Society · Physics 2015-06-16 E. Cozzo , R. A. Baños , S. Meloni , Y. Moreno

Many dynamic processes on complex networks, from disease outbreaks to cascading failures, can rapidly accelerate once a critical threshold is exceeded, potentially leading to severe social and economic costs. Therefore, in order to develop…

Physics and Society · Physics 2025-04-17 L. D. Valdez

Realistic human contact networks capable of spreading infectious disease, for example studied in social contact surveys, exhibit both significant degree heterogeneity and clustering, both of which greatly affect epidemic dynamics. To…

Populations and Evolution · Quantitative Biology 2018-10-16 A. Bishop , I. Z. Kiss , T. House

We study the interplay between epidemic dynamics and human decision making for epidemics that involve reinfection risk; in particular, the susceptible-infected-susceptible (SIS) and the susceptible-infected-recovered-infected (SIRI)…

Systems and Control · Electrical Eng. & Systems 2023-05-31 Abhisek Satapathi , Narendra Kumar Dhar , Ashish R. Hota , Vaibhav Srivastava

The susceptible-infected-susceptible epidemic model is analyzed through a degree-based mean-field approach. In this work, a mitigation factor is introduced in the probability of finding an infected individual following an edge. This…

Statistical Mechanics · Physics 2025-01-09 K. M. Kim , C. Dias , M. O. Hase

Contact patterns in populations fundamentally influence the spread of infectious diseases. Current mathematical methods for epidemiological forecasting on networks largely assume that contacts between individuals are fixed, at least for the…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz , Lauren Ancel Meyers

We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently the nodes of a finite ergodic graph in a discrete-time…

Physics and Society · Physics 2021-01-19 Michael Bestehorn , Alejandro P. Riascos , Thomas M. Michelitsch , Bernard A. Collet

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,…

Physics and Society · Physics 2018-12-26 Peng-Bi Cui , Wei Wang , Shi-Min Cai , Tao Zhou , Ying-Cheng Lai

We propose a new model that describes the dynamics of epidemic spreading on connected graphs. Our model consists in a PDE-ODE system where at each vertex of the graph we have a standard SIR model and connexions between vertices are given by…

Analysis of PDEs · Mathematics 2020-11-25 Christophe Besse , Grégory Faye

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The…

Physics and Society · Physics 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra
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