HIERARCHICALLY STRUCTURED BRANCHING POPULATIONS WITH SPATIAL MOTION

HIERARCHICALLY STRUCTURED BRANCHING POPULATIONS WITH SPATIAL MOTION

We consider hierarchically structured systems of individuals undergoing birth-and-death or branching processes at each level, with spatial motion at the lowest level. The measure-valued continuous diffusion limit process is formulated, and the carrying dimension of the topological support of the und...

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Veröffentlicht in:The Rocky Mountain journal of mathematics 1995, Vol.25 (1), p.269-283
1. Verfasser: HOCHBERG, KENNETH J.
Format: Artikel
Sprache:eng
Schlagworte:
60G57
60J80
Approximation
branching process
diffusion process
Disease models
Hausdorff dimension
Mathematical moments
Measure-valued process
multilevel process
Particle diffusion
Population genetics
Population structure
Semigroups
superprocess
Topological dimensions
Topological spaces
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Beschreibung
Zusammenfassung:We consider hierarchically structured systems of individuals undergoing birth-and-death or branching processes at each level, with spatial motion at the lowest level. The measure-valued continuous diffusion limit process is formulated, and the carrying dimension of the topological support of the underlying random measure is analyzed.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181072283