Simple SIR models with Markovian control

DOI10.1007/s42081-021-00107-1zbMath1481.92132OpenAlexW3129417074MaRDI QIDQ825356

Wojciech Bartoszek, Michał Krzemiński, Krzysztof Bartoszek

Publication date: 17 December 2021

Published in: Japanese Journal of Statistics and Data Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42081-021-00107-1

zbMATH Keywords

random dynamical systemsMarkovian controlSIR models

Mathematics Subject Classification ID

Epidemiology (92D30) Ordinary differential equations and systems with randomness (34F05) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

• Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
• Stochastic dynamics: Markov chains and random transformations
• The SIS epidemic model with Markovian switching
• Stability criteria for SIS epidemiological models under switching policies
• Epidemic models with random coefficients
• Random switching between vector fields having a common zero
• Stochastic dynamics. II: Finite random dynamical systems, linear representation, and entropy production
• An epidemic model with noisy parameters
• Markov Chains
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
• Non-linear incidence and stability of infectious disease models
• A fractional model for the COVID-19 pandemic: Application to Italian data
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Simple SIR models with Markovian control