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Random population dynamics under catastrophic events
Published online by Cambridge University Press: 15 August 2022
Abstract
In this paper we introduce new birth-and-death processes with partial catastrophe and study some of their properties. In particular, we obtain some estimates for the mean catastrophe time, and the first and second moments of the distribution of the process at a fixed time t. This is completed by some asymptotic results.
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of Applied Probability Trust