title: 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.
authors: Vologda State Pedagogical University, Institute of Informatics Problems RAS, and ISEDT RAS, S. Orlova 6, Vologda, Russia. a_zeifman@mail.ru
authors: Alexander
authors: A
authors: Zeifman
authors: Yakov
authors: Y
authors: Satin
authors: Tatyana
authors: T
authors: Panfilova
mesh_terms: D000818:Animals; D056808:Biostatistics; D006801:Humans; D008390:Markov Chains; D055641:Mathematical Concepts; D008954:Models, Biological; D011157:Population Dynamics / Q000706:statistics & numerical data*; D013269:Stochastic Processes
keywords: Limiting characteristics; Nonstationary birth–death process; TKF91 model; Weak ergodicity