Persistence of a Markovian population in a patchy environment

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

An infinite system of Markov chains is used to describe population development in an interconnected system of local populations. The model can also be viewed as an inhomogeneous Markov chain where the temporal inhomogeneity is a function of the mean of the process. Conditions for population persistence, in the sense of stochastic boundedness, are found.

Original languageEnglish (US)
Pages (from-to)97-107
Number of pages11
JournalZeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume66
Issue number1
DOIs
StatePublished - Mar 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Mathematics(all)

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