Vologda State Pedagogical University, Institute of Informatics Problems RAS, and ISEDT RAS, S. Orlova 6, Vologda, Russia.
Math Biosci. 2013 Sep;245(1):96-102. doi: 10.1016/j.mbs.2013.02.009. Epub 2013 Mar 1.
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.
研究了有限状态空间上可能发生灾变的一般非平稳birth-death 过程。概述了获得极限特征收敛速度上界的方法。提出了构建极限特征的方法。我们还表明，通常情况下，初始条件很快变得无关紧要。详细展示了一个相应过程的例子。
