Simple SIR models with Markovian control
Keyword(s):
AbstractWe 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.
2005 ◽
Vol 37
(4)
◽
pp. 1015-1034
◽
Keyword(s):
1982 ◽
Vol 19
(02)
◽
pp. 272-288
◽
Keyword(s):
Keyword(s):
Keyword(s):
2005 ◽
Vol 37
(04)
◽
pp. 1015-1034
◽
Keyword(s):
Keyword(s):
Keyword(s):
2012 ◽
Vol 26
(4)
◽
pp. 593-611
◽
Keyword(s):