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Related papers: Dynamic Vaccine Prioritization via Non-Markovian F…

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The goal of this paper is to analyze distributional Markov Decision Processes as a class of control problems in which the objective is to learn policies that steer the distribution of a cumulative reward toward a prescribed target law,…

Optimization and Control · Mathematics 2026-02-09 Nicole Bäuerle , Athanasios Vasileiadis

We use analytical methods to investigate a continuous vaccination strategy effects on the infectious disease dynamics in a closed population and a demographically open population. The methodology and key assumptions are based on Breda et al…

Populations and Evolution · Quantitative Biology 2020-09-24 Aubain Nzokem , Neal Madras

In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so…

Physics and Society · Physics 2013-09-11 Alessio Cardillo , Catalina Reyes-Suárez , Fernando Naranjo , Jesús Gómez-Gardeñes

The initial period of vaccination shows strong heterogeneity between countries' vaccinations rollout, both in the terms of the start of the vaccination process and in the dynamics of the number of people that are vaccinated. A predominant…

General Economics · Economics 2021-03-09 Dragan Tevdovski , Petar Jolakoski , Viktor Stojkoski

SIR models, also with age structure, can be used to describe the evolution of an infective disease. A vaccination campaign influences this dynamics immunizing part of the susceptible individuals, essentially turning them into recovered…

Analysis of PDEs · Mathematics 2019-10-17 Rinaldo M. Colombo , Mauro Garavello

The mitigation of an infectious disease spreading has recently gained considerable attention from the research community. It may be obtained by adopting sanitary measurements social rules, together with an extensive vaccination campaign.…

Social and Information Networks · Computer Science 2022-02-17 Francesco Petrizzelli , Pietro Hiram Guzzi , Tommaso Mazza

In the context of SARS-CoV-2 pandemic, mathematical modelling has played a fundamental role for making forecasts, simulating scenarios and evaluating the impact of preventive political, social and pharmaceutical measures. Optimal control…

Optimization and Control · Mathematics 2022-11-01 Giovanni Ziarelli , Luca Dede' , Nicola Parolini , Marco Verani , Alfio Quarteroni

Background: Recently, a high number of daily positive COVID-19 cases have been reported in regions with relatively high vaccination rates; hence, booster vaccination has become necessary. In addition, infections caused by the different…

Machine Learning · Computer Science 2022-08-26 Essam A. Rashed , Sachiko Kodera , Akimasa Hirata

We propose a new method for optimistic planning in infinite-horizon discounted Markov decision processes based on the idea of adding regularization to the updates of an otherwise standard approximate value iteration procedure. This…

Machine Learning · Computer Science 2023-06-16 Antoine Moulin , Gergely Neu

We study the spread of discrete-time epidemics over arbitrary networks for well-known propagation models, namely SIS (susceptible-infected-susceptible), SIR (susceptible-infected-recovered), SIRS (susceptible-infected-recovered-susceptible)…

Social and Information Networks · Computer Science 2016-10-03 Navid Azizan Ruhi , Hyoung Jun Ahn , Babak Hassibi

In this study, we formulate a mathematical model incorporating age specific transmission dynamics of COVID-19 to evaluate the role of vaccination and treatment strategies in reducing the size of COVID-19 burden. Initially, we establish the…

Populations and Evolution · Quantitative Biology 2021-02-22 Bishal Chhetri , D. k. k. Vamsi , S Balasubramanian , Carani B Sanjeevi

Most countries have started vaccinating people against COVID-19. However, due to limited production capacities and logistical challenges it will take months/years until herd immunity is achieved. Therefore, vaccination and social distancing…

Physics and Society · Physics 2021-04-22 Sara Grundel , Stefan Heyder , Thomas Hotz , Tobias K. S. Ritschel , Philipp Sauerteig , Karl Worthmann

We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

Probability · Mathematics 2025-09-23 Nicole Bäuerle , Sebastian Höfer

We study a stochastic program where the probability distribution of the uncertain problem parameters is unknown and only indirectly observed via finitely many correlated samples generated by an unknown Markov chain with $d$ states. We…

Optimization and Control · Mathematics 2021-06-15 Mengmeng Li , Tobias Sutter , Daniel Kuhn

In contemporary society, social networks accelerate decision dynamics causing a rapid switch of opinions in a number of fields, including the prevention of infectious diseases by means of vaccines. This means that opinion dynamics can…

Populations and Evolution · Quantitative Biology 2023-11-06 Rossella Della Marca , Alberto d'Onofrio , Mattia Sensi , Sara Sottile

Coronavirus disease (COVID-19), which was caused by SARS-CoV-2, has become a global public health concern. A great proportion of the world needs to be vaccinated in order to stop the rapid spread of the disease. In addition to prioritising…

Social and Information Networks · Computer Science 2021-03-04 Quoc Huy Nguyen , Jessica Liebig , Md Shahzamal , Bernard Mans , Raja Jurdak

Celebrities can significantly influence the public towards any desired outcome. In a bid to tackle an infectious disease, a leader (government) exploits such influence towards motivating a fraction of public to get vaccinated, sufficient…

Optimization and Control · Mathematics 2023-04-07 Vartika Singh , Veeraruna Kavitha

Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network. However, most data-driven approaches used to model time-varying networks…

Physics and Society · Physics 2017-12-27 Tiago P. Peixoto , Laetitia Gauvin

Background: To prevent future outbreaks of COVID-19, Australia is pursuing a mass-vaccination approach in which a targeted group of the population comprising healthcare workers, aged-care residents and other individuals at increased risk of…

Populations and Evolution · Quantitative Biology 2021-08-09 Cameron Zachreson , Sheryl L. Chang , Oliver M. Cliff , Mikhail Prokopenko

Stochastic resetting is a powerful strategy known to accelerate the first-passage time statistics of stochastic processes. While its effects on Markovian systems are well understood, a general framework for non-Markovian dynamics is still…

Statistical Mechanics · Physics 2025-09-16 Debasish Saha , Rati Sharma
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