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

Mikhail  Menshikov; Vadim Shcherbakov

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

Mikhail Menshikov
, Vadim Shcherbakov

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	85-106
Number of pages	22
Journal	Markov Processes and Related Fields
Volume	24
Issue number	1
Publication status	Published - 2018

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title = "Long term behaviour of two interacting birth-and-death processes",

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.",

author = "Mikhail Menshikov and Vadim Shcherbakov",

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language = "English",

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AU - Shcherbakov, Vadim

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AB - 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.

M3 - Article

SN - 1024-2953

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SP - 85

EP - 106

JO - Markov Processes and Related Fields

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ER -