Limiting characteristics for finite birth-death-catastrophe processes.

Abstract:

: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.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Zeifman A,Satin Y,Panfilova T

doi

10.1016/j.mbs.2013.02.009

subject

Has Abstract

pub_date

2013-09-01 00:00:00

pages

96-102

issue

1

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(13)00055-2

journal_volume

245

pub_type

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