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With the premise that social interactions are described by power-law distributions, we study a SIR stochastic dynamic on a static scale-free random network generated via configuration model. We verify our model with respect to deterministic…

Physics and Society · Physics 2024-05-10 Sara Sottile , Ozan Kahramanoğulları , Mattia Sensi

The spread of COVID-19 makes it essential to investigate its prevalence. In such investigation research, as far as we know, the widely-used sampling methods didn't use the information sufficiently about the numbers of the previously…

Applications · Statistics 2022-01-04 Ze Liu , Siyu Yi , Jianghu , Dong , Min-Qian Liu , Yongdao Zhou

Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this paper, we propose a multi-region SEIR model based on stochastic differential game theory,…

Optimization and Control · Mathematics 2021-03-10 Yao Xuan , Robert Balkin , Jiequn Han , Ruimeng Hu , Hector D. Ceniceros

Cities have long served as nucleating centers for human development and advancement. Cities have facilitated the spread of both human creativity and human disease, and at the same time, efforts to minimize the spread of disease have…

Physics and Society · Physics 2020-11-10 Harold M Hastings , Tai Young-Taft

With the outbreak of the COVID-19 pandemic, various studies have focused on predicting the trajectory and risk factors of the virus and its variants. Building on previous work that addressed this problem using genetic and epidemiological…

Applications · Statistics 2023-12-25 Catherine Li , Daniel Lazarev

Epidemiological geographic profiling is a statistical method for making inferences about likely areas of a source from the geographical distribution of patients. Epidemiological geographic profiling algorithms are developed to locate a…

Social and Information Networks · Computer Science 2016-03-01 Yoshiharu Maeno

In order to improve the resilience of computer infrastructure against cyber attacks and finding ways to mitigate their impact we need to understand their structure and dynamics. Here we propose a novel network-based influence spreading…

Social and Information Networks · Computer Science 2025-09-03 Vesa Kuikka , Lauri Pykälä , Tuomas Takko , Kimmo Kaski

We present a methodology for systematically extending epidemic models to multilevel and multiscale spatio-temporal pandemic ones. Our approach builds on the use of coloured stochastic and continuous Petri nets facilitating the sound…

Populations and Evolution · Quantitative Biology 2021-07-05 Shannon Connolly , David Gilbert , Monika Heiner

This study develops the epidemic hitting time (EHT) metric on graphs measuring the expected time an epidemic starting at node $a$ in a fully susceptible network takes to propagate and reach node $b$. An associated EHT centrality measure is…

Physics and Society · Physics 2015-12-02 Max Goering , Faryad Darabi Sahneh , Nathan Albin , Caterina Scoglio , Pietro Poggi-Corradini

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

We discuss various models for epidemics on networks that rely on Markov chains. Random walks on graphs are often used to predict epidemic spread and to investigate possible control actions to mitigate them. In this study, we demonstrate…

Physics and Society · Physics 2022-07-07 Sooyeong Kim , Jane Breen , Ekaterina Dudkina , Federico Poloni , Emanuele Crisostomi

Epidemics occur in all shapes and forms: infections propagating in our sparse sexual networks, rumours and diseases spreading through our much denser social interactions, or viruses circulating on the Internet. With the advent of large…

Physics and Society · Physics 2013-09-02 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected…

Populations and Evolution · Quantitative Biology 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

Identifying influential nodes plays a pivotal role in understanding, controlling, and optimizing the behavior of complex systems, ranging from social to biological and technological domains. Yet most centrality-based approaches rely on…

Physics and Society · Physics 2025-12-12 Yajing Hao , Longzhao Liu , Xin Wang , Zhihao Han , Ming Wei , Zhiming Zheng , Shaoting Tang

A problem closely related to epidemiology, where a subgraph of 'infected' links is defined inside a larger network, is investigated. This subgraph is generated from the underlying network by a random variable, which decides whether a link…

Physics and Society · Physics 2016-04-07 M Cotacallapa , M O Hase

The performance of distance-based classifiers heavily depends on the underlying distance metric, so it is valuable to learn a suitable metric from the data. To address the problem of multimodality, it is desirable to learn local metrics. In…

Machine Learning · Computer Science 2018-02-13 Mingzhi Dong , Yujiang Wang , Xiaochen Yang , Jing-Hao Xue

Susceptible-Exposed-Infectious-Recovered (SEIR) models with inter-individual variation in susceptibility or exposure to infection were proposed early in the COVID-19 pandemic as a potential element of the mathematical/statistical toolset…

Applications · Statistics 2025-10-28 Ibrahim Mohammed , Chris Robertson , M. Gabriela M. Gomes

We focus on an epidemiological model (the archetypical SIR system) defined on graphs and study the asymptotic behavior of the solutions as the number of vertices in the graph diverges. By relying on the theory of so called graphons we…

Analysis of PDEs · Mathematics 2023-10-27 Blanca Ayuso de Dios , Simone Dovetta , Laura V. Spinolo

One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

Influence maximization (IM) is a combinatorial problem of identifying a subset of nodes called the seed nodes in a network (graph), which when activated, provide a maximal spread of influence in the network for a given diffusion model and a…

Machine Learning · Computer Science 2022-05-31 Sai Munikoti , Balasubramaniam Natarajan , Mahantesh Halappanavar