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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 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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DOI
Digital Object Identifier link open in new tab 10.1007/s42081-021-00107-1
Category
Publikacja w czasopiśmie
Type
artykuły w czasopismach
Language
angielski
Publication year
2021

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