Birth–Death Processes with Two-Type Catastrophes

Autor: Junping Li
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 10, p 1468 (2024)
Druh dokumentu: article
ISSN: 2227-7390
37194844
DOI: 10.3390/math12101468
Popis: 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 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.
Databáze: Directory of Open Access Journals
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