Work

Nonlinear Markov branching processes with immigration and resurrection

Year: 2024

Type: article

Abstract: The nonlinear Markov branching process with immigration and resurrection (NMBPIR) is considered in this paper. We give the criteria for regularity and uniqueness of NMBPIR, and then investigate the extinction probability and the mean extinction time. Furthermore, we give a condition for the Feller minimal NMBPIR to be recurrence, and provide an example to illustrate our results.

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01951-2

Authors: Zhang Lina, Li Zhenfang, Geng Shifeng

Institution: Xiangtan University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: National Natural Science Foundation of China