FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 985-993

L. G. Afanassieva

E. M. Ginzburg

Abstract

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```
A system with two types of particles placed in
```$N$ cells
is considered.
The first type particles arrive at the system in accordance with a Poisson
process. There are $V<N$ particles of the second type in the system,
which destroy the first type particles.
The ergodicity condition for the Markov chain which describes the behaviour
of the system is proved.

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