Email this article On Convergence Rate Estimates for Some Birth and Death Processes
- Authors: Zeifman A.I.1,2,3, Panfilova T.L.1
-
Affiliations:
- Vologda State University
- Institute of Informatics Problems of FRC IC RAS
- Institute of Socio-Economic Development of Territories of the RAS
- Issue: Vol 221, No 4 (2017)
- Pages: 616-622
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239064
- DOI: https://doi.org/10.1007/s10958-017-3254-2
- ID: 239064
Cite item
Open Access
Access granted
Subscription Access
Abstract
Homogeneous birth and death processes with a finite number of states are studied. We analyze the slowest and fastest rates of convergence to the limit mode. Estimates of these bounds for some classes of mean-field models are obtained. The asymptotics of the convergence rate for some models of chemical kinetics is studied in the case where the number of system states tends to infinity.
About the authors
A. I. Zeifman
Vologda State University; Institute of Informatics Problems of FRC IC RAS; Institute of Socio-Economic Development of Territories of the RAS
Author for correspondence.
Email: a_zeifman@mail.ru3
Russian Federation, Vologda; Moscow; Vologda
T. L. Panfilova
Vologda State University
Email: a_zeifman@mail.ru3
Russian Federation, Vologda
Supplementary files
