Nonlinear Markov branching processes with immigration and resurrection
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.
Authors
- Zhenfang Li (ORCID: https://orcid.org/0009-0005-0112-718X)
- Lina Zhang (ORCID: https://orcid.org/0000-0003-2038-3531)
- Geng Shifeng
Institutions
- Hunan University of Science and Technology (CN)
- Xiangtan University (CN)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2024-10-23
- DOI
- https://doi.org/10.1186/s13661-024-01951-2
- Citations
- 1
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.89