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 Bioscijournal_title
Mathematical biosciencesauthors
Zeifman A,Satin Y,Panfilova Tdoi
10.1016/j.mbs.2013.02.009subject
Has Abstractpub_date
2013-09-01 00:00:00pages
96-102issue
1eissn
0025-5564issn
1879-3134pii
S0025-5564(13)00055-2journal_volume
245pub_type
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