Simple SIR models with Markovian control

We consider a random dynamical system, where the deterministic dynamics are driven by a finite-state space Markov chain. We provide a comprehensive introduction to the required mathematical apparatus and then turn to a special focus on the susceptible-infected-recovered epidemiological model with ra...

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Detalles Bibliográficos
Autores principales: Bartoszek, Krzysztof, Bartoszek, Wojciech, Krzemiński, Michał
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Singapore 2021
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7884608/
https://www.ncbi.nlm.nih.gov/pubmed/35425887
http://dx.doi.org/10.1007/s42081-021-00107-1
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author Bartoszek, Krzysztof
Bartoszek, Wojciech
Krzemiński, Michał
author_facet Bartoszek, Krzysztof
Bartoszek, Wojciech
Krzemiński, Michał
author_sort Bartoszek, Krzysztof
collection PubMed
description We consider a random dynamical system, where the deterministic dynamics are driven by a finite-state space Markov chain. We provide a comprehensive introduction to the required mathematical apparatus and then turn to a special focus on the susceptible-infected-recovered epidemiological model with random steering. Through simulations we visualize the behaviour of the system and the effect of the high-frequency limit of the driving Markov chain. We formulate some questions and conjectures of a purely theoretical nature.
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spelling pubmed-78846082021-02-16 Simple SIR models with Markovian control Bartoszek, Krzysztof Bartoszek, Wojciech Krzemiński, Michał Jpn J Stat Data Sci Original Paper We consider a random dynamical system, where the deterministic dynamics are driven by a finite-state space Markov chain. We provide a comprehensive introduction to the required mathematical apparatus and then turn to a special focus on the susceptible-infected-recovered epidemiological model with random steering. Through simulations we visualize the behaviour of the system and the effect of the high-frequency limit of the driving Markov chain. We formulate some questions and conjectures of a purely theoretical nature. Springer Singapore 2021-02-16 2021 /pmc/articles/PMC7884608/ /pubmed/35425887 http://dx.doi.org/10.1007/s42081-021-00107-1 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Bartoszek, Krzysztof
Bartoszek, Wojciech
Krzemiński, Michał
Simple SIR models with Markovian control
title Simple SIR models with Markovian control
title_full Simple SIR models with Markovian control
title_fullStr Simple SIR models with Markovian control
title_full_unstemmed Simple SIR models with Markovian control
title_short Simple SIR models with Markovian control
title_sort simple sir models with markovian control
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7884608/
https://www.ncbi.nlm.nih.gov/pubmed/35425887
http://dx.doi.org/10.1007/s42081-021-00107-1
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