title: Birth and death processes with random environments in continuous time.
abstract: "A generalization to continuous time is given for a discrete-time model of a birth and death process in a random environment.  Some important properties of this process in the continuous-time setting are stated and proved including instability and extinction conditions, and when suitable absorbing barriers have been defined, methods are given for the calculation of extinction probabilities and the expected duration of the process."
authors.forename: R
authors.initials: R
authors.lastname: Cogburn
authors.forename: W C
authors.initials: WC
authors.lastname: Torrez
mesh_terms: D001723:Birth Rate; D003710:Demography; D005298:Fertility; D008390:Markov Chains; D008962:Models, Theoretical; D009026:Mortality; D011153:Population; D011157:Population Dynamics; D011336:Probability; D012106:Research; D013223:Statistics as Topic
keywords: Birth Rate; Demographic Factors; Fertility; Fertility Measurements; Markov Chain; Mathematical Model; Models, Theoretical; Mortality; Population; Population Dynamics; Probability; Research Methodology; Statistical Studies; Studies