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

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

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Abstract

This paper is devoted to studying the long-term behaviour of a continuous time
Markov chain that can be interpreted as a pair of linear birth processes which
evolve with a competitive interaction; as a special case, they include the famous
Lotka-Volterra interaction. Another example of our process is related to urn
models with ball removals. We show that, with probability one, the process
eventually escapes to innity by sticking to the boundary in a rather unusual
way.
Original languageEnglish
Pages (from-to)750-768
Number of pages19
JournalJournal of Applied Probability
Volume56
Issue number3
DOIs
Publication statusPublished - 1 Oct 2019
This open access research output is licenced under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

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