Birth-Death processes with two-type catastrophes

2024/04/07 by Junping Li, Li, Junping
Environmental Science · #60J27 #Ecosystem dynamics and resilience #FOS: Mathematics #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2404.04984

openalex publication_date 2024/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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