Boundary effect in competition processes. / Shcherbakov, Vadim; Volkov, Stanislav.

In: Journal of Applied Probability, Vol. 56, No. 3, 01.10.2019, p. 750-768.

Research output: Contribution to journalArticle

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Boundary effect in competition processes. / Shcherbakov, Vadim; Volkov, Stanislav.

In: Journal of Applied Probability, Vol. 56, No. 3, 01.10.2019, p. 750-768.

Research output: Contribution to journalArticle

Harvard

Shcherbakov, V & Volkov, S 2019, 'Boundary effect in competition processes', Journal of Applied Probability, vol. 56, no. 3, pp. 750-768. https://doi.org/10.1017/jpr.2019.46

APA

Shcherbakov, V., & Volkov, S. (2019). Boundary effect in competition processes. Journal of Applied Probability, 56(3), 750-768. https://doi.org/10.1017/jpr.2019.46

Vancouver

Shcherbakov V, Volkov S. Boundary effect in competition processes. Journal of Applied Probability. 2019 Oct 1;56(3):750-768. https://doi.org/10.1017/jpr.2019.46

Author

Shcherbakov, Vadim ; Volkov, Stanislav. / Boundary effect in competition processes. In: Journal of Applied Probability. 2019 ; Vol. 56, No. 3. pp. 750-768.

BibTeX

@article{6ca05a766a2c4958a6ee857b868e8413,
title = "Boundary effect in competition processes",
abstract = "This paper is devoted to studying the long-term behaviour of a continuous timeMarkov chain that can be interpreted as a pair of linear birth processes whichevolve with a competitive interaction; as a special case, they include the famousLotka-Volterra interaction. Another example of our process is related to urnmodels with ball removals. We show that, with probability one, the processeventually escapes to innity by sticking to the boundary in a rather unusualway.",
author = "Vadim Shcherbakov and Stanislav Volkov",
year = "2019",
month = "10",
day = "1",
doi = "10.1017/jpr.2019.46",
language = "English",
volume = "56",
pages = "750--768",
journal = "Journal of Applied Probability",
number = "3",

}

RIS

TY - JOUR

T1 - Boundary effect in competition processes

AU - Shcherbakov, Vadim

AU - Volkov, Stanislav

PY - 2019/10/1

Y1 - 2019/10/1

N2 - This paper is devoted to studying the long-term behaviour of a continuous timeMarkov chain that can be interpreted as a pair of linear birth processes whichevolve with a competitive interaction; as a special case, they include the famousLotka-Volterra interaction. Another example of our process is related to urnmodels with ball removals. We show that, with probability one, the processeventually escapes to innity by sticking to the boundary in a rather unusualway.

AB - This paper is devoted to studying the long-term behaviour of a continuous timeMarkov chain that can be interpreted as a pair of linear birth processes whichevolve with a competitive interaction; as a special case, they include the famousLotka-Volterra interaction. Another example of our process is related to urnmodels with ball removals. We show that, with probability one, the processeventually escapes to innity by sticking to the boundary in a rather unusualway.

U2 - 10.1017/jpr.2019.46

DO - 10.1017/jpr.2019.46

M3 - Article

VL - 56

SP - 750

EP - 768

JO - Journal of Applied Probability

JF - Journal of Applied Probability

IS - 3

ER -