Limiting characteristics for finite birth-death-catastrophe processes

被引：15

作者：

Zeifman, Alexander ^{[1
,2
]}

Satin, Yakov ^{[3
]}

Panfilova, Tatyana ^{[3
]}

机构：

[1] Vologda State Pedag Univ, Inst Informat Problems RAS, Vologda, Russia

[2] ISEDT RAS, Vologda, Russia

[3] Vologda State Pedag Univ, Vologda, Russia

来源：

MATHEMATICAL BIOSCIENCES | 2013年 / 245卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Nonstationary birth-death process; Weak ergodicity; Limiting characteristics; TKF91; model; NONHOMOGENEOUS BIRTH; MARKOV-CHAINS; ERLANGS MODEL; CONVERGENCE; BOUNDS;

D O I：

10.1016/j.mbs.2013.02.009

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

General nonstationary birth-death process with possible catastrophes on finite state space is studied. The approach for obtaining the bounds on the rates of convergence to the limiting characteristics is outlined. Method for construction of the limiting characteristics is proposed. We also show that, as a rule, the initial conditions quickly become irrelevant. An example of respective process is shown in details. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：96 / 102

页数：7

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