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This paper studies a strategic model of marketing and product diffusion in social networks. We consider two firms offering substitutable products which can improve their market share by seeding the key individuals in the market. Consumers…

Social and Information Networks · Computer Science 2019-12-19 Milad Siami , Amir Ajorlou , Ali Jadbabaie

Under limited available resources, strategies for mitigating the propagation of an epidemic such as random testing and contact tracing become inefficient. Here, we propose to accurately allocate the resources by computing over time an…

Physics and Society · Physics 2023-11-07 Gabriela Bayolo Soler , Miraine Dávila Felipe , Ghislaine Gayraud

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

Spreading processes, e.g. epidemics, wildfires and rumors, are often modeled on static networks. However, their underlying network structures, e.g. changing contacts in social networks, different weather forecasts for wildfires, are due to…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Vera L. J. Somers , Ian R. Manchester

In this study we present a dynamical agent-based model to investigate the interplay between the socio-economy of and SEIRS-type epidemic spreading over a geographical area, divided to smaller area districts and further to smallest area…

Physics and Society · Physics 2022-07-20 Jan E. Snellman , Rafael A. Barrio , Kimmo K. Kaski , Maarit J. Käpylä

The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations…

Physics and Society · Physics 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

The outbreak of a pandemic, such as COVID-19, causes major health crises worldwide. Typical measures to contain the rapid spread usually include effective vaccination and strict interventions (Nature Human Behaviour, 2021). Motivated by…

Social and Information Networks · Computer Science 2025-03-31 Gargi Bakshi , Sujoy Bhore , Suraj Shetiya

Adversarial Imitation Learning is traditionally framed as a two-player zero-sum game between a learner and an adversarially chosen cost function, and can therefore be thought of as the sequential generalization of a Generative Adversarial…

Machine Learning · Computer Science 2025-03-04 Runzhe Wu , Yiding Chen , Gokul Swamy , Kianté Brantley , Wen Sun

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an…

We study a majority based preference diffusion model in which the members of a social network update their preferences based on those of their connections. Consider an undirected graph where each node has a strict linear order over a set of…

Social and Information Networks · Computer Science 2023-12-27 Ahad N. Zehmakan

We investigate the SIR epidemic on a dynamic inhomogeneous Erd\H{o}s-R\'enyi random graph, in which vertices are of one of $k$ types and in which edges appear and disappear independently of each other. We establish a functional law of large…

Probability · Mathematics 2024-04-22 Yuanfei Huang , Adrian Röllin

We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe…

Physics and Society · Physics 2022-12-08 S. P. Lukyanets , I. S. Gandzha , O. V. Kliushnichenko

We propose a coupled dynamical model of resource allocation and epidemic spread, inspired by the hierarchical structure of real-world therapeutic resource allocation. In this framework, network nodes are assigned distinct roles as either…

Physics and Society · Physics 2026-02-13 Hao-Xiang Jiang , Chao-Ran Cai , Ji-Qiang Zhang , Ming Tang

Modeling information spread through a network is one of the key problems of network analysis, with applications in a wide array of areas such as marketing and public health. Most approaches assume that the spread is governed by some…

Social and Information Networks · Computer Science 2025-11-03 Alexander Kagan , Elizaveta Levina , Ji Zhu

In this paper, we study a novel control method for a generalized SIS epidemic process. In particular, we use predictive control to design optimal protective resource distribution strategies which balance the need to eliminate the epidemic…

Optimization and Control · Mathematics 2018-08-17 Nicholas J. Watkins , George J. Pappas

Finding optimal bidding strategies for generation units in electricity markets would result in higher profit. However, it is a challenging problem due to the system uncertainty which is due to the unknown other generation units' strategies.…

Artificial Intelligence · Computer Science 2022-08-15 Pegah Rokhforoz , Olga Fink

Auction is the common paradigm for resource allocation which is a fundamental problem in human society. Existing research indicates that the two primary objectives, the seller's revenue and the allocation efficiency, are generally…

Computer Science and Game Theory · Computer Science 2019-05-27 Bin Li , Dong Hao , Dengji Zhao , Makoto Yokoo

Diffusion-based generative graph models have been proven effective in generating high-quality small graphs. However, they need to be more scalable for generating large graphs containing thousands of nodes desiring graph statistics. In this…

Machine Learning · Computer Science 2023-06-01 Xiaohui Chen , Jiaxing He , Xu Han , Li-Ping Liu

Random networks with specified degree distributions have been proposed as realistic models of population structure, yet the problem of dynamically modeling SIR-type epidemics in random networks remains complex. I resolve this dilemma by…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz

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
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