Stationary population flow of a semi-open Markov Chain.

Abstract

In this paper we study the state vector of a semi-open Markov chain of a stochastic population flow. We consider stationary inflow of new members into the system and derive the limiting value of the state vector X⁽ⁿ⁾ = (_X1⁽ⁿ⁾,....,(_Xm⁽ⁿ⁾ ∈Z₊ <sup>as n→ ∞ , when the system's capacity, is known.

Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 395-398</sup>