A continuous time Markov branching model with random environments
- 1 April 1973
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 5 (1) , 37-54
- https://doi.org/10.2307/1425963
Abstract
A population model is constructed which combines the ideas of a discrete time branching process with random environments and a continuous time non-homogeneous Markov branching process. The extinction problem is considered and necessary and sufficient conditions for extinction are determined. Also discussed are limit theorems for what corresponds to the supercritical case.Keywords
This publication has 4 references indexed in Scilit:
- Branching Processes with Random Environments, II: Limit TheoremsThe Annals of Mathematical Statistics, 1971
- On Branching Processes with Random Environments: I: Extinction ProbabilitiesThe Annals of Mathematical Statistics, 1971
- On Branching Processes in Random EnvironmentsThe Annals of Mathematical Statistics, 1969
- The Theory of Branching ProcessesPublished by Springer Nature ,1963