We examine a piecewise deterministic Markov process, whose whole randomness stems from the jumps, which occur at the random time points according to a Poisson process, and whose post-jump locations are attained by randomly selected transformations of the pre-jumps states. Between the jumps, the process is deterministically driven by a continuous semiflow. The aim of the paper is to establish the continuous dependence of the invariant measure of this process on the jump intensity.
Topics
Markov processes
REFERENCES
1.
2.
B.
Cloez
et al., ESAIM: Proceedings and Surveys
60
, 225
–245
(2017
).3.
M.
Mackey
, M.
Tyran-Kamińska
, and R.
Yvinec
, SIAM J. Appl. Math.
73
, 1830
–1852
(2013
).4.
O.
Costa
and F.
Dufour
, SIAM J. Control Optim.
47
, 1053
–1077
(2008
).5.
6.
D.
Czapla
and J.
Kubieniec
, Dynamical Systems
34
, 130
–156
(2019
).7.
A.
Lasota
and M.
Mackey
, J. Math. Biol.
38
, 241
–261
(1999
).8.
R.
Dudley
, Stud. Math.
27
, 251
–268
(1966
).9.
A.
Lasota
, Lecture Notes in Phys. (Springer Verlag)
457
, 235
–255
(1995
).10.
11.
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