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We consider a birth, death and catastrophe process where the transition rates are allowed to depend on the population size. We obtain an explicit expression for the expected time to extinction, which is valid in all cases where extinction occurs with probability 1. ©Applied Probability Trust 2007.

Original publication

DOI

10.1239/jap/1183667423

Type

Journal

Journal of Applied Probability

Publication Date

01/06/2007

Volume

44

Pages

566 - 569