Long term behaviour of two interacting birth-and-death processes

Mikhail Menshikov, Vadim Shcherbakov

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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
Issue number1
Publication statusPublished - 2018

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