Regularity and reversibility results for birth–death–migration processes

Regularity and reversibility results for birth–death–migration processes

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Article ID: iaor1999342
Country: United Kingdom
Volume: 34
Issue: 3
Start Page Number: 685
End Page Number: 697
Publication Date: Sep 1997
Journal: Journal of Applied Probability
Authors: ,
Abstract:

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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