A class of branching processes with two dependent types
type: Item
instance of: scholarly article
title: A class of branching processes with two dependent types
zbMATH Open document ID: 0729.60079
DOI: 10.1016/0304-4149(90)90097-C
author: Eike Born
author: Klaus Dietz
published in: Stochastic Processes and their Applications
publication date: 1990-01-01T00:00:00Z
review text: To describe a host parasite relationship, a two type branching process is constructed. The peculiarity here is that type I individuals enter the population by immigration and type II individuals are generated by type I ancestors. The later may affect the life of the former and, once a type I individual dies, all of its type II descendants die as well. After going through the construction of such process, the authors compute the distributions of several random variables measuring different population sizes, and, under the assumptions of a limiting immigration intensity and finite mean life of individuals of type I, they obtain the stationary distributions of the relevant population sizes.
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 4205558
zbMATH Keywords: host parasite relationship
zbMATH Keywords: branching process
zbMATH Keywords: immigration intensity
zbMATH Keywords: stationary distributions
zbMATH Keywords: population sizes
Wikidata QID: Q60029343
reviewed by: Henryk Gzyl
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4205558