Long term behaviour of two interacting birth-and-death processes. / Menshikov, Mikhail ; Shcherbakov, Vadim.

In: Markov Processes and Related Fields, Vol. 24, No. 1, 2018, p. 85-106.

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Abstract

In this paper we study the long term evolution of a continuous time Markov chain formed by two interacting birth-and-death processes and motivated by modelling interaction between populations. We show transience/recurrence of the Markov chain under fairly general assumptions on transition rates and describe in more detail its asymptotic behaviour in some transient cases.
Original languageEnglish
Pages (from-to)85-106
Number of pages22
JournalMarkov Processes and Related Fields
Volume24
Issue number1
Publication statusPublished - 2018
This open access research output is licenced under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

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