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Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

Many systems of scientific interest can be conceptualized as multipartite networks. Examples include the spread of sexually transmitted infections, scientific collaborations, human friendships, product recommendation systems, and metabolic…

Physics and Society · Physics 2021-03-02 Hyojun A. Lee , Luiz G. A. Alves , Luís A. Nunes Amaral

Cascading failures, wherein the failure of one component triggers subsequent failures in complex interconnected systems, pose a significant risk of disruptions and emerge across various domains. Understanding and mitigating the risk of such…

Probability · Mathematics 2024-03-19 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou

Electrical power systems are one of the most important infrastructures that support our society. However, their vulnerabilities have raised great concern recently due to several large-scale blackouts around the world. In this paper, we…

Physics and Society · Physics 2016-10-14 Yingrui Zhang , Osman Yagan

Increased coupling between critical infrastructure networks, such as power and communication systems, will have important implications for the reliability and security of these systems. To understand the effects of power-communication…

Physics and Society · Physics 2015-06-24 Mert Korkali , Jason G. Veneman , Brian F. Tivnan , Paul D. H. Hines

This paper studies the consequences of a human-initiated targeted attack on the national electric power system. We consider two kinds of attacks: ($i$) an attack by an adversary that uses a tactical weapon and destroys a large part of the…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Rounak Meyur

The understanding of cascading failures in complex systems has been hindered by the lack of realistic large-scale modeling and analysis that can account for variable system conditions. Here, using the North American power grid, we identify,…

Physics and Society · Physics 2018-04-23 Yang Yang , Takashi Nishikawa , Adilson E. Motter

Predicting cascade dynamics has important implications for understanding information propagation and launching viral marketing. Previous works mainly adopt a pair-wise manner, modeling the propagation probability between pairs of users…

Social and Information Networks · Computer Science 2015-01-23 Yongqing Wang , Hua-Wei Shen , Shenghua Liu , Xue-Qi Cheng

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

Physics and Society · Physics 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski

Various disasters stem from minor perturbations, such as the spread of infectious diseases, cascading failure in power grids, etc. Analyzing perturbations is crucial for both theoretical and application fields. Previous researchers have…

Physics and Society · Physics 2023-10-10 Qitong Hu , Xiao-Dong Zhang

Understanding how complex behaviors, opinions, and innovations spread in online social networks remains a central challenge in computational social science. Existing models of complex contagion typically rely on stylized threshold…

Social and Information Networks · Computer Science 2026-03-20 Saurabh Sharma , Ambuj Singh

We develop a model for contagion in reinsurance networks by which primary insurers' losses are spread through the network. Our model handles general reinsurance contracts, such as typical excess of loss contracts. We show that simpler…

Risk Management · Quantitative Finance 2020-03-25 Ariah Klages-Mundt , Andreea Minca

Spreading phenomena essentially underlie the dynamics of various natural and technological networked systems, yet how spatiotemporal propagation patterns emerge from such networks remains largely unknown. Here we propose a novel approach…

Physics and Society · Physics 2024-03-12 Xiaozhu Zhang , Dirk Witthaut , Marc Timme

In this paper, we propose an AC power flow based cascading failure model that explicitly considers external weather conditions, extreme temperatures in particular, and evaluates the impact of extreme temperature on the initiation and…

Systems and Control · Electrical Eng. & Systems 2020-09-30 Seyyed Rashid Khazeiynasab , Junjian Qi

Interdependent networks are characterized by two kinds of interactions: The usual connectivity links within each network and the dependency links coupling nodes of different networks. Due to the latter links such networks are known to…

Physics and Society · Physics 2015-06-18 Marcell Stippinger , János Kertész

In this work, cascading transmission line failures are studied through a dynamical model of the power system operating under fixed conditions. The power grid is modeled as a stochastic dynamical system where first-principles…

Systems and Control · Electrical Eng. & Systems 2019-12-18 Jacob Roth , David A. Barajas-Solano , Panos Stinis , Jonathan Weare , Mihai Anitescu

Threshold rules of spreading in binary-state networks lead to cascades. We study persistent cascade-recovery dynamics on quasi-robust networks, i.e., networks which are robust against small trigger but may collapse for larger one. It is…

Physics and Society · Physics 2019-05-22 Nanxin Wei , Bo Fan

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

Complex networks with heterogeneous distribution of loads may undergo a global cascade of overload failures when highly loaded nodes or edges are removed due to attacks or failures. Since a small attack or failure has the potential to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter