The multiple birth properties of multi-type Markov branching processes

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-09-04 DOI:10.1186/s13661-024-01914-7

Junping Li, Wanting Zhang

引用次数: 0

Abstract

The main purpose of this paper is to consider the multiple birth properties for multi-type Markov branching processes. We first construct a new multi-dimensional Markov process based on the multi-type Markov branching process, which can reveal the multiple birth characteristics. Then the joint probability distribution of multiple birth of multi-type Markov branching process until any time t is obtained by using the new process. Furthermore, the probability distribution of multiple birth until the extinction of the process is also given.

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多类型马尔可夫分支过程的多生特性

本文的主要目的是考虑多类型马尔可夫分支过程的多重出生特性。首先，我们在多类型马尔可夫分支过程的基础上构建了一个新的多维马尔可夫过程，该过程可以揭示多生特性。然后，利用新过程求得多类型马尔可夫分支过程直到任意时间 t 的多次出生的联合概率分布。此外，还给出了该过程消亡前的多次出生概率分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.