Publication Date
7-5-1974
Abstract
In this dissertation we consider a continuous time branching process with a random environment in which the environment changes according to a continuous time Markov chain. The extinction problem for this model is posed and solved by two distinct methods: by the method of random evolutions of Griego and Hersh and by the results of Athreya and Karlin on branching processes with random environments. Limit theorems for the population size as well as a system of partial differential equations for the expected number of particles (as functions of time) are obtained.
Degree Name
Mathematics
Level of Degree
Doctoral
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Richard Jerome Griego
Second Committee Member
Reuben Hersh
Third Committee Member
Robert Francis Cogburn
Language
English
Document Type
Dissertation
Recommended Citation
Corona-Burgueño, Juan F.. "Branching Processes With Cataclysmic Environmental Changes.." (1974). https://digitalrepository.unm.edu/math_etds/232
