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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

We study the interaction between epidemic spreading and a vaccination process. We assume that, similar to the disease spreading, also the vaccination process occurs through direct contact, i.e., it follows the standard…

Physics and Society · Physics 2020-06-22 Mozhgan Khanjanianpak , Nahid Azimi-Tafreshi , Claudio Castellano

We introduce a model to study the delicate relation between the spreading of information and the formation of opinions in social systems. For this purpose, we propose a two-layer multiplex network model in which consensus dynamics takes…

Physics and Society · Physics 2019-07-03 David Soriano-Paños , Quantong Guo , Vito Latora , Jesús Gómez-Gardeñes

The spread of socially-learnt behaviours occurs in many animal species, and understanding how behaviours spread can provide novel insights into the causes and consequences of sociality. Within wild populations, behaviour spread is often…

Social and Information Networks · Computer Science 2020-12-17 Josh A. Firth , Gregory F. Albery , Kristina B. Beck , Ivan Jarić , Lewis G. Spurgin , Ben C. Sheldon , Will Hoppitt

We study a simple, solvable model that allows us to investigate effects of credit contagion on the default probability of individual firms, in both portfolios of firms and on an economy wide scale. While the effect of interactions may be…

Physics and Society · Physics 2008-12-02 J. P. L. Hatchett , R. Kuehn

Modeling and simulation of disease spreading in pedestrian crowds has been recently become a topic of increasing relevance. In this paper, we consider the influence of the crowd motion in a complex dynamical environment on the course of…

Dynamical Systems · Mathematics 2021-01-06 Parveena Samim Abdul Salam , Wolfgang Bock , Axel Klar , Sudarshan Tiwari

Modeling human behavior is essential to accurately predict epidemic spread, with behaviors like vaccine hesitancy complicating control efforts. While epidemic spread is often treated as a simple contagion, vaccine uptake may follow complex…

Physics and Society · Physics 2024-12-17 Alfonso de Miguel-Arribas , Alberto Aleta , Yamir Moreno

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

Common asset holdings are widely believed to have been the primary vector of contagion in the recent financial crisis. We develop a network approach to the amplification of financial contagion due to the combination of overlapping…

General Finance · Quantitative Finance 2012-11-06 Fabio Caccioli , Munik Shrestha , Cristopher Moore , J. Doyne Farmer

Information and individual activities often spread globally through the network of social ties. While social contagion phenomena have been extensively studied within the framework of threshold models, it is common to make an assumption that…

Physics and Society · Physics 2023-06-07 Teruyoshi Kobayashi

Diffusion of information, behavioral patterns or innovations follows diverse pathways depending on a number of conditions, including the structure of the underlying social network, the sensitivity to peer pressure and the influence of…

Physics and Society · Physics 2015-11-25 Zhongyuan Ruan , Gerardo Iniguez , Marton Karsai , Janos Kertesz

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Physics and Society · Physics 2015-09-21 Romualdo Pastor-Satorras , Claudio Castellano , Piet Van Mieghem , Alessandro Vespignani

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

Individuals are always limited by some inelastic resources, such as time and energy, which restrict them to dedicate to social interaction and limit their contact capacity. Contact capacity plays an important role in dynamics of social…

Physics and Society · Physics 2015-12-25 Wei Wang , Panpan Shu , Yu-Xiao Zhu , Ming Tang , Yi-Cheng Zhang

Susceptibility governs the dynamics of contagion. The classical SIR model is one of the simplest compartmental models of contagion spread, assuming a single shared susceptibility level. However, variation in susceptibility over a population…

Populations and Evolution · Quantitative Biology 2020-09-22 Christopher Rose , Andrew J. Medford , C. Franklin Goldsmith , Tejs Vegge , Joshua Weitz , Andrew A. Peterson

Network structure can affect when and how widely new ideas, products, and behaviors are adopted. In widely-used models of biological contagion, interventions that randomly rewire edges (on average making them "longer") accelerate spread.…

Social and Information Networks · Computer Science 2023-08-22 Dean Eckles , Elchanan Mossel , M. Amin Rahimian , Subhabrata Sen

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

Physics and Society · Physics 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

The contact process is a simple model for the spread of an infection in a structured population. We investigate the case when the underlying structure evolves dynamically as a degree-dependent dynamical percolation model. Starting with a…

Probability · Mathematics 2026-03-11 Natalia Cardona-Tobón , Marcel Ortgiese , Marco Seiler , Anja Sturm

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

The dynamics of network social contagion processes such as opinion formation and epidemic spreading are often mediated by interactions between multiple nodes. Previous results have shown that these higher-order interactions can profoundly…

Physics and Society · Physics 2021-12-07 Nicholas Landry , Juan G. Restrepo
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