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  • Title: Birth and death processes with random environments in continuous time.
    Author: Cogburn R, Torrez WC.
    Journal: J Appl Probab; 1981; 18(1):19-30. PubMed ID: 12311751.
    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."
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