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Empirical evidence reveals that contagion processes often occur with competition of simple and complex contagion, meaning that while some agents follow simple contagion, others follow complex contagion. Simple contagion refers to spreading…

Statistical Mechanics · Physics 2018-07-11 Byungjoon Min , Maxi San Miguel

The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investigation of complex contagions can provide crucial insights into…

Social and Information Networks · Computer Science 2015-03-19 Sergey Melnik , Jonathan A. Ward , James P. Gleeson , Mason A. Porter

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

Social contagion is a ubiquitous and fundamental process that drives individual and social changes. Although social contagion arises as a result of cognitive processes and biases, the integration of cognitive mechanisms with the theory of…

Social and Information Networks · Computer Science 2024-05-01 Rachith Aiyappa , Alessandro Flammini , Yong-Yeol Ahn

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

Human mobility and activity patterns mediate contagion on many levels, including the spatial spread of infectious diseases, diffusion of rumors, and emergence of consensus. These patterns however are often dominated by specific locations…

Physics and Society · Physics 2011-07-05 Duygu Balcan , Alessandro Vespignani

Complex contagion models have been developed to understand a wide range of social phenomena such as adoption of cultural fads, the diffusion of belief, norms, and innovations in social networks, and the rise of collective action to join a…

Physics and Society · Physics 2018-07-04 Yong Zhuang , Osman Yağan

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

There is a rich history of models for the interaction of a biological contagion like influenza with the spread of related information such as an influenza vaccination campaign. Recent work on the spread of interacting contagions on networks…

Physics and Society · Physics 2020-09-02 Laurent Hébert-Dufresne , Dina Mistry , Benjamin M. Althouse

Behavioral adoptions are influenced by peers in different ways. While some individuals may change after a single incoming influence, others need multiple cumulated attempts. These two mechanism, known as the simple and the complex…

Physics and Society · Physics 2024-12-02 Elsa Andres , Romualdo Pastor-Satorras , Michele Starnini , Márton Karsai

Current epidemics in the biological and social domains are challenging the standard assumptions of mathematical contagion models. Chief among them are the complex patterns of transmission caused by heterogeneous group sizes and infection…

Physics and Society · Physics 2024-01-03 Guillaume St-Onge , Laurent Hébert-Dufresne , Antoine Allard

We study the diffusion of influence in random multiplex networks where links can be of $r$ different types, and for a given content (e.g., rumor, product, political view), each link type is associated with a content dependent parameter…

Physics and Society · Physics 2012-09-11 Osman Yagan , Virgil Gligor

Complex contagions describe systems where the probability or rate of contagious transmission is a nonlinear function of the exposure to contagious agents. These models were first studied theoretically but have since been used to capture…

The propagation of information in social, biological and technological systems represents a crucial component in their dynamic behavior. When limited to pairwise interactions, a rather firm grip is available on the relevant parameters and…

Physics and Society · Physics 2021-09-15 Z. Li , Z. Deng , Z. Han , K. Alfaro-Bittner , B. Barzel , S. Boccaletti

Prior social contagion models consider the spread of either one contagion at a time on interdependent networks or multiple contagions on single layer networks or under assumptions of competition. We propose a new threshold model for the…

Social and Information Networks · Computer Science 2018-09-13 Ho-Chun Herbert Chang , Feng Fu

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

The threshold model is a simple but classic model of contagion spreading in complex social systems. To capture the complex nature of social influencing we investigate numerically and analytically the transition in the behavior of…

Contagion processes on networks, including disease spreading, information diffusion, or social behaviors propagation, can be modeled as simple contagion, i.e. involving one connection at a time, or as complex contagion, in which multiple…

Physics and Society · Physics 2023-06-19 Giulia Cencetti , Diego Andrés Contreras , Marco Mancastroppa , Alain Barrat

We present the mathematical analysis of generalized complex contagions in clustered multiplex networks for susceptible-infected-recovered (SIR)-like dynamics. The model is intended to understand diffusion of influence, or any other…

Physics and Society · Physics 2017-02-01 Yong Zhuang , Alex Arenas , Osman Yağan

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
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