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Mathematical Biosciences and Engineering Volume 2020 Issue 1909

Subject Areas: Agricultural and Biological Sciences (miscellaneous)
ISSN: 1551-0018
SJR: 49

Open Access

Journal Article

Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process

Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna

2019 Mathematics

doi:10.3934/mbe.2020056 pmid:32233570

Abstract: We investigate a piecewise-deterministic Markov process, evolving on a Polish metric space, whose deterministic behaviour between random jumps is governed by some semi-flow, and any state right after the jump is attained by a randomly selected continuous transformation. It is assumed...

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