Regularity and reversibility results for birth-death-migration processes

A spatial process is considered in which two general birth-death processes are linked by migration of individuals. We examine conditions for weak symmetry and regularity, and develop necessary and sufficient conditions for recurrence. The results are easily extended to the k -process case.

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Veröffentlicht in:Journal of applied probability 1997-09, Vol.34 (3), p.685-697
Hauptverfasser: Renshaw, Eric, Dai, Yonglong
Format: Artikel
Sprache:eng
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Zusammenfassung:A spatial process is considered in which two general birth-death processes are linked by migration of individuals. We examine conditions for weak symmetry and regularity, and develop necessary and sufficient conditions for recurrence. The results are easily extended to the k -process case.
ISSN:0021-9002
1475-6072
DOI:10.1017/S0021900200101342