Simple SIR models with Markovian control

Krzysztof Bartoszek; Wojciech Bartoszek; Michał Krzemiński

doi:10.1007/s42081-021-00107-1

Simple SIR models with Markovian control

Abstract

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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Authors (3)

Krzysztof Bartoszek
- Department of Computer and Information Science, Linköping University, Linköping 581 83, Sweden
Wojciech Bartoszek prof. dr hab. inż.
Michał Krzemiński mgr inż.

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Articles

Type:

artykuły w czasopismach

Published in:

Japanese journal of statistics and data science no. 4, pages 731 - 762,
ISSN: 2520-8764

Language:

English

Publication year:

2021

Bibliographic description:

Bartoszek K., Bartoszek W., Krzemiński M.: Simple SIR models with Markovian control// Japanese journal of statistics and data science -Vol. 4, (2021), s.731-762

DOI: