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A two-step contagion model with a single seed serves as a cornerstone for understanding the critical behaviors and underlying mechanism of discontinuous percolation transitions induced by cascade dynamics. When the contagion spreads from a…

Statistical Mechanics · Physics 2017-06-21 Wonjun Choi , Deokjae Lee , B. Kahng

One of the most effective strategies to mitigate the global spreading of a pandemic (e.g., COVID-19) is to shut down international airports. From a network theory perspective, this is since international airports and flights, essentially…

Physics and Society · Physics 2023-10-24 Jing Ma , Xiangyi Meng , Lidia A. Braunstein

During the outbreak of an epidemic, individuals may modify their behaviors in response to external (including local and global) infection-related information. However, the difference between local and global information in influencing the…

Physics and Society · Physics 2024-07-18 Zegang Huang , Xincheng Shu , Qi Xuan , Zhongyuan Ruan

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

This paper studies a discrete-time time-varying multi-layer networked SIWS (susceptible-infected-water-susceptible) model with multiple resources under both single-virus and competing multi-virus settings. Besides the human-to-human…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Shaoxuan Cui , Fangzhou Liu , Hildeberto Jardón-Kojakhmetov , Ming Cao

This paper studies novel epidemic spreading problems influenced by opinion evolution in social networks, where the opinions reflect the public health concerns. A coupled bilayer network is proposed, where the epidemics spread over several…

Physics and Society · Physics 2024-01-10 Qiulin Xu , Hideaki Ishii

In this paper, we introduce a general framework for co-infection as cooperative SIR dynamics. We first solve analytically CGCG model [1] and then the generalized model in symmetric scenarios. We calculate transition points, order parameter,…

Populations and Evolution · Quantitative Biology 2019-07-24 Fatemeh Zarei , Saman Moghimi-Araghi , Fakhteh Ghanbarnejad

Understanding the spatio-temporal evolution of epidemics with multiple pathogens requires not only new theoretical models but also careful analysis of their practical consequences. Building on the Multiplex Bi-Virus Reaction-Diffusion…

Physics and Society · Physics 2025-09-04 Alyssa Yu , Laura P. Schaposnik

In this paper, we introduce the SDIR (Susceptible-Delayable-Infected-Recovered) model, an extension of the classical SIR epidemic framework, to provide a more explicit characterization of user behavior in online social networks. The newly…

Social and Information Networks · Computer Science 2025-12-04 Tran Van Khanh , Do Xuan Cho , Hoang Phi Dung

With the growing digital transformation of the worldwide economy, cyber risk has become a major issue. As 1 % of the world's GDP (around $1,000 billion) is allegedly lost to cybercrime every year, IT systems continue to get increasingly…

Statistics Theory · Mathematics 2023-11-28 Alexandre Boumezoued , Yousra Cherkaoui , Caroline Hillairet

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

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

Dynamical Systems · Mathematics 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

Cooperation and competition between pathogens can alter the amount of individuals affected by a co-infection. Nonetheless, the evolution of the pathogens' behavior has been overlooked. Here, we consider a co-evolutionary model where the…

Populations and Evolution · Quantitative Biology 2022-03-23 Fakhteh Ghanbarnejad , Kai Seegers , Alessio Cardillo , Philipp Hövel

It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major roads have enhanced its propagation in Italy. We propose a new simple model of…

Analysis of PDEs · Mathematics 2020-11-16 Henri Berestycki , Jean-Michel Roquejoffre , Luca Rossi

Understanding how human mobility and information propagation influence the course of an epidemic remains a key challenge in digital epidemiology. In this work, we develop a new awareness-based, event-triggered epidemic model embedded within…

Physics and Society · Physics 2026-05-06 Yusheng Li , Minyu Feng , Liang-jian Deng , Matjaž Perc , Jürgen Kurths

Though the studies of social contagions are regularly borrowing network models to study the propagation of social influences and opinions to include social heterogeneity. Such studies provide valuable insights regarding these, but the…

Physics and Society · Physics 2023-09-28 Dibyajyoti Mallick , Kumar Gaurav , Saumik Bhattacharya , Sayantari Ghosh

Epidemic models on complex networks have been widely used to study how the social structure of a population affect the spreading of epidemics. However, their numerical simulation can be computationally heavy, especially for large networks.…

Physics and Society · Physics 2025-06-10 Samuel Cure , Florian G. Pflug , Simone Pigolotti

P2P networking has become a promising technology and has achieved popularity as a mechanism for users to share files without the need for centralized servers. The rapid growth of P2P networks beginning with Kaza, Lime wire, Napsters,…

Cryptography and Security · Computer Science 2018-01-03 Mansoor Ebrahim , Shujaat Khan , UmerBin Khalid

Complex contagions describe diffusion of behaviors in a social network in settings where spreading requires the influence by two or more neighbors. In a $k$-complex contagion, a cluster of nodes are initially infected, and additional nodes…

Data Structures and Algorithms · Computer Science 2014-08-12 Roozbeh Ebrahimi , Jie Gao , Golnaz Ghasemiesfeh , Grant Schoenebeck