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.

Research output: Contribution to journalArticle

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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.

Research output: Contribution to journalArticle

Harvard

Menshikov, M & Shcherbakov, V 2018, 'Long term behaviour of two interacting birth-and-death processes', Markov Processes and Related Fields, vol. 24, no. 1, pp. 85-106. <http://arxiv.org/abs/1605.09607>

APA

Menshikov, M., & Shcherbakov, V. (2018). Long term behaviour of two interacting birth-and-death processes. Markov Processes and Related Fields, 24(1), 85-106. http://arxiv.org/abs/1605.09607

Vancouver

Menshikov M, Shcherbakov V. Long term behaviour of two interacting birth-and-death processes. Markov Processes and Related Fields. 2018;24(1):85-106.

Author

Menshikov, Mikhail ; Shcherbakov, Vadim. / Long term behaviour of two interacting birth-and-death processes. In: Markov Processes and Related Fields. 2018 ; Vol. 24, No. 1. pp. 85-106.

BibTeX

@article{a2f0404b559044ce93698cf463438486,
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",
year = "2018",
language = "English",
volume = "24",
pages = "85--106",
journal = "Markov Processes and Related Fields",
issn = "1024-2953",
publisher = "Polymat",
number = "1",

}

RIS

TY - JOUR

T1 - Long term behaviour of two interacting birth-and-death processes

AU - Menshikov, Mikhail

AU - Shcherbakov, Vadim

PY - 2018

Y1 - 2018

N2 - 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.

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

VL - 24

SP - 85

EP - 106

JO - Markov Processes and Related Fields

JF - Markov Processes and Related Fields

SN - 1024-2953

IS - 1

ER -