Birth-Death Processes with Two-type Catastrophes

Junping Li

doi:10.20944/preprints202404.0545.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 7 April 2024 / Approved: 8 April 2024 / Online: 8 April 2024 (16:02:38 CEST)

This paper concentrates on the general birth-death processes with two different types of catastrophes. The Laplace transform of transition probability function for birth-death processes with two-type catastrophes are is successfully expressed with the Laplace transform of transition probability function of the birth-death processes without catastrophe. The first effective catastrophe occurrence time is considered. The Laplace transform of its probability density function, expectation and variance are obtained.

Birth-death process; Catastrophe; Laplace transform; Probability density function

Computer Science and Mathematics, Probability and Statistics

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Birth-Death Processes with Two-type Catastrophes

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