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Despite achieving strong performance in semi-supervised node classification task, graph neural networks (GNNs) are vulnerable to adversarial attacks, similar to other deep learning models. Existing researches focus on developing either…

Machine Learning · Computer Science 2021-08-26 Shuchang Tao , Huawei Shen , Qi Cao , Liang Hou , Xueqi Cheng

Designing effective strategies for controlling epidemic spread by vaccination is an important question in epidemiology, especially in the early stages when vaccines are limited. This is a challenging question when the contact network is…

Data Structures and Algorithms · Computer Science 2025-06-03 Dung Nguyen , Aravind Srinivasan , Renata Valieva , Anil Vullikanti , Jiayi Wu

One long-standing question in epidemiological research is how best to allocate limited amounts of vaccine or similar preventative measures in order to minimize the severity of an epidemic. Much of the literature on the problem of vaccine…

Social and Information Networks · Computer Science 2014-12-02 Krzysztof Drewniak , Joseph Helsing , Armin R. Mikler

Incorporating social factors into disease prevention and control efforts is an important undertaking of behavioral epidemiology. The interplay between disease transmission and human health behaviors, such as vaccine uptake, results in…

Physics and Society · Physics 2023-02-16 Marzena Fügenschuh , Feng Fu

We consider a mathematical model describing the propagation of an epidemic on a geographical network. The size of the outbreak is governed by the initial growth rate of the disease given by the maximal eigenvalue of the epidemic matrix…

Physics and Society · Physics 2024-06-06 Mohamad Badaoui , Jean-Guy Caputo , Gustavo Cruz-Pacheco , Arnaud Knippel

Immunizing a subset of nodes in a network - enabling them to identify and withstand the spread of harmful content - is one of the most effective ways to counter the spread of malicious content. It has applications in network security,…

Social and Information Networks · Computer Science 2019-12-30 Muhammad Ahmad , Sarwan Ali , Juvaria Tariq , Imdadullah Khan , Mudassir Shabbir , Arif Zaman

Vaccination has played an important role in preventing the spread of infectious diseases. However, the limited availability of vaccines and personnel at the roll-out of a new vaccine and the costs of vaccination campaigns often limit how…

Physics and Society · Physics 2026-01-27 Rowan Hoogervorst , Evelien van der Hurk , David Pisinger

Our main goal is to examine the role of communities in epidemic spread in a random graph model. More precisely, we consider a random graph model which consists of overlapping complete graphs, representing households, workplaces, school…

Physics and Society · Physics 2023-08-25 Ágnes Backhausz , György J. Székely

Despite achieving great success, graph neural networks (GNNs) are vulnerable to adversarial attacks. Existing defenses focus on developing adversarial training or model modification. In this paper, we propose and formulate graph adversarial…

Machine Learning · Computer Science 2023-09-26 Shuchang Tao , Huawei Shen , Qi Cao , Yunfan Wu , Liang Hou , Xueqi Cheng

Recently, hypergraphs have attracted considerable interest from the research community as a generalization of networks capable of encoding higher-order interactions, which commonly appear in both natural and social systems. Epidemic…

Physics and Society · Physics 2022-01-03 Bukyoung Jhun

Information dissemination intricately intertwines with the dynamics of infectious diseases in the contemporary interconnected world. Recognizing the critical role of public awareness, individual vaccination choices appear to be an essential…

Physics and Society · Physics 2024-10-30 Viney Kumar , Chris T Bauch , Samit Bhattacharyya

Immune events such as infection, vaccination, and a combination of the two result in distinct time-dependent antibody responses in affected individuals. These responses and event prevalences combine non-trivially to govern antibody levels…

Populations and Evolution · Quantitative Biology 2024-04-16 Prajakta Bedekar , Rayanne A. Luke , Anthony J. Kearsley

Effective vaccine prioritization is critical for epidemic control, yet real outbreaks exhibit memory effects that inflate state space and make long-term prediction and optimization challenging. As a result, many strategies are tuned to…

Biological Physics · Physics 2025-11-11 Mi Feng , Liang Tian , Changsong Zhou

We study in a general mathematical framework the optimal allocation of vaccine in an heterogeneous population. We cast the problem of optimal vaccination as a bi-objective minimization problem min(C($\eta$),L($\eta$)), where C and L stand…

Optimization and Control · Mathematics 2025-03-21 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

The Susceptible-Infected-Susceptible (SIS) model is a widely used model for the spread of information and infectious diseases, particularly non-immunizing ones, on a graph. Given a highly contagious disease, a natural question is how to…

Machine Learning · Computer Science 2025-06-19 Sepehr Elahi , Paula Mürmann , Patrick Thiran

Vaccinations are an important tool in the prevention of disease. Vaccinations are generally voluntary for each member of a population and vaccination decisions are influenced by individual risk perceptions and contact structures within…

Physics and Society · Physics 2025-04-07 Kausutua Tjikundi , Mark Broom

Consider the causal effect that one individual's treatment may have on another individual's outcome when the outcome is contagious, with specific application to the effect of vaccination on an infectious disease outcome. The effect of one…

Methodology · Statistics 2014-03-06 Elizabeth L. Ogburn , Tyler J. VanderWeele

Taking precautions before or during the start of a virus outbreak can heavily reduce the number of infected. The question which individuals should be immunized in order to mitigate the impact of the virus on the rest of population has…

Social and Information Networks · Computer Science 2013-03-06 V. V. Kashirin , L. J. Dijkstra

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

Vaccination and outbreak monitoring are essential tools for preventing and minimizing outbreaks of infectious diseases. Targeted strategies, where the individuals most important for monitoring or preventing outbreaks are selected for…

Physics and Society · Physics 2016-03-04 Enys Mones , Arkadiusz Stopczynski , Alex Pentland , Nathaniel Hupert , Sune Lehmann