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A simple model to study cooperation is the two-species symbiotic contact process (2SCP), in which two different species spread on a graph and interact by a reduced death rate if both occupy the same vertex, representing a symbiotic…

Statistical Mechanics · Physics 2022-08-31 Guilherme S. Costa , Marcelo M. de Oliveira , Silvio C. Ferreira

The structure of a network dramatically affects the spreading phenomena unfolding upon it. The contact distribution of the nodes has long been recognized as the key ingredient in influencing the outbreak events. However, limited knowledge…

Physics and Society · Physics 2014-07-30 Luca Ferreri , Paolo Bajardi , Mario Giacobini , Silvia Perazzo , Ezio Venturino

Interactions in time-varying complex systems are often very heterogeneous at the topological level (who interacts with whom) and at the temporal level (when interactions occur and how often). While it is known that temporal heterogeneities…

Physics and Society · Physics 2014-11-21 Juan Ignacio Perotti , Hang-Hyun Jo , Petter Holme , Jari Saramäki

Human behaviors in social systems are often shaped by group pressure and collective norms, especially since the rise of social media platforms. However, in the context of adopting misbehaviors, most existing contagion models rely on…

The study proposes a modeling framework for investigating the disease dynamics with adaptive human behavior during a disease outbreak, considering the impacts of both local observations and global information. One important application…

Physics and Society · Physics 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

The common real-world feature of individuals migrating through a network -- either in real space or online -- significantly complicates understanding of network processes. Here we show that even though a network may appear static on…

Physics and Society · Physics 2016-08-24 Pedro D. Manrique , Hong Qi , Minzhang Zheng , Chen Xu , Pak Ming Hui , Neil F. Johnson

Hypergraphs effectively model higher-order relationships in natural phenomena, capturing complex interactions beyond pairwise connections. We introduce a novel hypergraph message passing framework inspired by interacting particle systems,…

Machine Learning · Computer Science 2025-05-27 Yixuan Ma , Kai Yi , Pietro Lio , Shi Jin , Yu Guang Wang

Various coarse-grained models have been proposed to study the spreading dynamics in the network. A microscopic theory is needed to connect the spreading dynamics with the individual behaviors. In this letter, we unify the description of…

Statistical Mechanics · Physics 2021-04-14 Jin-Fu Chen , Yi-Mu Du , Hui Dong , Chang-Pu Sun

In this work, we aim to understand the influence of the heterogeneity of infection rates on the Susceptible-Infected-Susceptible (SIS) epidemic spreading. Employing the classic SIS model as the benchmark, we study the influence of the…

Physics and Society · Physics 2016-04-06 Bo Qu , Huijuan Wang

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

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

Physics and Society · Physics 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

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

The study of how diseases spread has greatly benefited from advances in network modeling. Recently, a class of networks known as multilayer graphs has been shown to describe more accurately many real systems, making it possible to address…

Physics and Society · Physics 2019-04-16 Xiangrong Wang , Alberto Aleta , Dan Lu , Yamir Moreno

We investigate the sensitivity of epidemic behavior to a bounded susceptibility constraint -- susceptible nodes are infected by their neighbors via the regular SI/SIS dynamics, but subject to a cap on the infection rate. Such a constraint…

Social and Information Networks · Computer Science 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai

Trophic coherence, a measure of the extent to which the nodes of a directed network are organised in levels, has recently been shown to be closely related to many structural and dynamical aspects of complex systems, including graph…

Physics and Society · Physics 2016-07-22 Janis Klaise , Samuel Johnson

The manner epidemics occurs in a social network depends on various elements, with two of the most influential being the relationships among individuals in the population and the mechanism of transmission. In this paper, we assume that the…

Dynamical Systems · Mathematics 2024-05-09 Francisco J. Muñoz , Luca Meacci , Juan Carlos Nuño , Mario Primicerio

One of the key challenges in modeling the dynamics of contagion phenomena is to understand how the structure of social interactions shapes the time course of a disease. Complex network theory has provided significant advances in this…

Physics and Society · Physics 2015-06-11 Charleston Noble , James P. Bagrow , Dirk Brockmann

Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model is a popular…

Populations and Evolution · Quantitative Biology 2017-01-23 Frank Ball , Thomas House

Multigraphs are graphs in which multiple links between pairs of nodes are allowed, whereas they are forbidden in simple graphs, the latter being widely used in network science. Simple graphs generated by the configuration model have served…

Physics and Society · Physics 2026-05-29 Paulo H. Lorenzoni , Wesley Cota , Francisco A. Rodrigues , Silvio C. Ferreira

The spread of ideas, behaviors, and technologies generally depends on feedback mechanisms operating across multiple scales. Previous studies have extensively examined pairwise transmission and local reinforcement. However, the role of…

Physics and Society · Physics 2025-12-18 Leyang Xue , Kai-Cheng Yang , Peng-Bi Cui , Zengru Di