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Infectious diseases pose major public health challenges to society, highlighting the importance of designing effective policies to reduce economic loss and mortality. In this paper, we propose a framework for sequential decision-making…

Machine Learning · Computer Science 2025-02-17 Zhuangzhuang Jia , Hyuk Park , Gökçe Dayanıklı , Grani A. Hanasusanto

We study the problem of minimizing the (time) average security costs in large systems comprising many interdependent subsystems, where the state evolution is captured by a susceptible-infected-susceptible (SIS) model. The security costs…

Systems and Control · Electrical Eng. & Systems 2022-04-14 Van Sy Mai , Richard J. La , Abdella Battou

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

We model the influence of sharing large exogeneous losses to the reinsurance market by a bipartite graph. Using Pareto-tailed claims and multivariate regular variation we obtain asymptotic results for the Value-at-Risk and the Conditional…

Risk Management · Quantitative Finance 2015-11-16 Oliver Kley , Claudia Kluppelberg , Gesine Reinert

We study the spread of disease in an SIS model. The model considered is a time-varying, switched model, in which the parameters of the SIS model are subject to abrupt change. We show that the joint spectral radius can be used as a threshold…

Dynamical Systems · Mathematics 2014-04-21 Mustapha Ait Rami , Vahid S. Bokharaie , Oliver Mason , Fabian R. Wirth

This paper presents a vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for…

Dynamical Systems · Mathematics 2011-03-28 M. De la Sen , A. Ibeas , S. Alonso-Quesada

Pathogens usually exist in heterogeneous variants, like subtypes and strains. Quantifying treatment effects on the different variants is important for guiding prevention policies and treatment development. Here we ground analyses of…

Applications · Statistics 2024-08-15 Gellert Perenyi , Mats J. Stensrud

In this paper we develop a general framework for constructing and analysing coupled Markov chain Monte Carlo samplers, allowing for both (possibly degenerate) diffusion and piecewise deterministic Markov processes. For many performance…

Probability · Mathematics 2018-06-29 N. Nuesken , G. A. Pavliotis

A truthful mechanism for a Bayesian single-item auction results with some ex-ante revenue for the seller, and some ex-ante total surplus for the buyers. We study the Pareto frontier of the set of seller-buyers ex-ante utilities, generated…

Computer Science and Game Theory · Computer Science 2026-02-13 Moshe Babaioff , Sijin Chen , Zhaohua Chen , Yiding Feng

Understanding waning of vaccine-induced protection is important for both immunology and public health. Population heterogeneities in underlying (pre-vaccination) susceptibility and vaccine response can cause measured vaccine effectiveness…

Populations and Evolution · Quantitative Biology 2023-08-02 Ariel Nikas , Hasan Ahmed , Veronika I. Zarnitsyna

In many epidemiological and ecological contexts, there is a trade-off between infections and interactions. This arises because the links between individuals capable of spreading infections are also often associated with beneficial…

Physics and Society · Physics 2025-04-04 Bunlang Thatchai , Christopher E. Overton , Thomas House

The paper uses machine learning and mathematical modeling to predict future vaccine distribution and solve the problem of allocating vaccines to different types of hospitals. They collected data and analyzed it, finding factors such as…

Computers and Society · Computer Science 2023-06-13 Baiqiao Yin , Jiaqing Yuan , Weichen Lv , Jiehui Huang , Guian Fang

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

This paper explores the theoretical foundations of fair regression under the constraint of demographic parity within the unawareness framework, where disparate treatment is prohibited, extending existing results where such treatment is…

Machine Learning · Statistics 2024-09-05 Vincent Divol , Solenne Gaucher

The SEIRS model, an extension of the SEIR model for analyzing and predicting the spread of virus infection, was further extended to consider the movement of people across regions. In contrast to previous models that con-sider the risk of…

Medical Physics · Physics 2021-07-01 Yukio Ohsawa , Teruaki Hayashi , Sae Kondo

This paper presents a study on a compartmental epidemic model for COVID-19, examining the stability of its equilibrium points upon the introduction of vaccination as a strategy to mitigate the spread of the disease. Initially, the SIQR…

Numerical Analysis · Mathematics 2024-05-29 Leonardo R. S. Rodrigues , Felipe Gabrielli

The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although…

Populations and Evolution · Quantitative Biology 2022-11-16 Ryan Wilkinson , Marcus Roper

Purpose: Only few companies were able to produce vaccine again COVID-19. Thus, one producer supplied it to many countries. The distribution was not effective. Some countries overstocked the vaccine while other countries were not able to buy…

Physics and Society · Physics 2024-08-20 Béla Vizvári , Gergely Kovács

As the development of a dengue vaccine is ongoing, we simulate an hypothetical vaccine as an extra protection to the population. In a first phase, the vaccination process is studied as a new compartment in the model, and different ways of…

Optimization and Control · Mathematics 2013-11-26 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

We analyse a version of the policy iteration algorithm for the discounted infinite-horizon problem for controlled multidimensional diffusion processes, where both the drift and the diffusion coefficient can be controlled. We prove that,…

Probability · Mathematics 2017-07-26 Saul D. Jacka , Aleksandar Mijatovic , Dejan Siraj