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Multi-relational networks among entities are frequently observed in the era of big data. Quantifying the effects of multiple networks have attracted significant research interest recently. In this work, we model multiple network effects…

Methodology · Statistics 2024-06-06 Yimeng Ren , Xuening Zhu , Ganggang Xu , Yanyuan Ma

In social networks, control of rumor spread is an active area of research. SIR model is generally used to study the rumor dynamics in network while considering the rumor as an epidemic. In disease spreading model, epidemic is controlled by…

Social and Information Networks · Computer Science 2015-09-29 Anoop Mehta , Ruchir Gupta

Modern socio-economic systems are undergoing deep integration with artificial intelligence technologies. This paper constructs a heterogeneous agent-based modeling framework that incorporates both human workers and autonomous AI agents, to…

Artificial Intelligence · Computer Science 2025-09-30 Yuxinyue Qian , Jun Liu

In this paper, we study the effectiveness of the modelling approach on the pandemic due to the spreading of the novel COVID-19 disease and develop a susceptible-infected-removed (SIR) model that provides a theoretical framework to…

Populations and Evolution · Quantitative Biology 2020-08-26 Ian Cooper , Argha Mondal , Chris G. Antonopoulos

Some modified versions of susceptible-infected-recovered-susceptible (SIRS) model are defined on small-world networks. Latency, incubation and variable susceptibility are included, separately. Phase transitions in these models are studied.…

Statistical Mechanics · Physics 2016-08-31 H. N. Agiza , A. S. Elgazzar , S. A. Youssef

Susceptible-Infected-Recovered (SIR) models have been used for decades to understand epidemic outbreak dynamics. We develop an SIR model specifically designed to study the effects of population behavior with respect to health and…

Populations and Evolution · Quantitative Biology 2023-08-03 Jasmin Nunuvero , Angelique Santiago , Moshe Cohen , Anca Radulescu

This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of…

Populations and Evolution · Quantitative Biology 2025-09-17 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

Predicting user influence in social networks is a critical problem, and hypergraphs, as a prevalent higher-order modeling approach, provide new perspectives for this task. However, the absence of explicit cascade or infection probability…

Social and Information Networks · Computer Science 2025-08-22 Su-Su Zhang , JinFeng Xie , Yang Chen , Min Gao , Cong Li , Chuang Liu , Xiu-Xiu Zhan

We consider the diffusion of new products in social networks, where consumers who adopt the product can later "recover" and stop influencing others to adopt the product. We show that the diffusion is not described by the SIR model, but…

Physics and Society · Physics 2017-05-22 Gadi Fibich

The Susceptible-Infectious-Recovered (SIR) equations and their extensions comprise a commonly utilized set of models for understanding and predicting the course of an epidemic. In practice, it is of substantial interest to estimate the…

Applications · Statistics 2025-05-07 Omar Melikechi , Alexander L. Young , Tao Tang , Trevor Bowman , David Dunson , James Johndrow

In this work, the spread of a contagious disease on a society where the individuals may take precautions is modeled. The primary assumption is that the infected individuals transmit the infection to the susceptible members of the community…

Physics and Society · Physics 2021-03-16 Semra Gunduc

The importance of modeling the spread of epidemics through a population has led to the development of mathematical models for infectious disease propagation. A number of empirical studies have collected and analyzed data on contacts between…

Social and Information Networks · Computer Science 2017-07-28 Rehan Ahmad , Kevin S. Xu

Many public health interventions are conducted in settings where individuals are connected to one another and the intervention assigned to randomly selected individuals may spill over to other individuals they are connected to. In these…

Methodology · Statistics 2026-01-14 Junhan Fang , Donna Spiegelman , Ashley Buchanan , Laura Forastiere

The analysis of spatial point patterns that occur in the network domain have recently gained much attraction and various intensity functions and measures have been proposed. However, the linkage of spatial network statistics to regression…

Applications · Statistics 2016-07-25 Matthias Eckardt , Jorge Mateu

Promoting some typical spreading dynamics, for instance, the spreading of information, commercial message, vaccination guidance, innovation, and political movement, can bring benefits to all aspects of the socio-economic systems. In this…

Physics and Society · Physics 2020-03-25 Dan Yang , Jiajun Xian , Liming Pan , Wei Wang , Tao Zhou

Modeling interpersonal influence on different sentimental polarities is a fundamental problem in opinion formation and viral marketing. There has not been seen an effective solution for learning sentimental influences from users' behaviors…

Social and Information Networks · Computer Science 2017-05-09 Shenghua Liu , Houdong Zheng , Huawei Shen , Xiangwen Liao , Xueqi Cheng

Modern sociology has profoundly uncovered many convincing social criteria for behavioural analysis. Unfortunately, many of them are too subjective to be measured and presented in online social networks. On the other hand, data mining…

Social and Information Networks · Computer Science 2023-01-09 Xiangguo Sun , Hong Cheng , Bo Liu , Jia Li , Hongyang Chen , Guandong Xu , Hongzhi Yin

Opinion formation and propagation are crucial phenomena in social networks and have been extensively studied across several disciplines. Traditionally, theoretical models of opinion dynamics have been proposed to describe the interactions…

Social and Information Networks · Computer Science 2022-07-11 Maya Okawa , Tomoharu Iwata

Nodes that play strategic roles in networks are called critical or influential nodes. For example, in an epidemic, we can control the infection spread by isolating critical nodes; in marketing, we can use certain nodes as the initial…

Physics and Society · Physics 2024-09-24 Zahra Farahi , Ali Kamandi , Rooholah Abedian , Luis Enrique Correa Rocha

We develop a general model of discrete choice that incorporates peer effects in preferences and consideration sets. We characterize the equilibrium behavior and establish conditions under which all parts of the model can be recovered from a…

General Economics · Economics 2026-02-05 Nail Kashaev , Natalia Lazzati , Ruli Xiao