Partial maintainability of a population model in a stochastic environment

Abstract

We consider a non-homogeneous Markov system in a stochastic environment. Concepts of recruitment control are empoyed in order to study the probabilities of partially maintaining population structures under this establishment. Two conditions taken from the deterministic case of the partial control problem are further refined, providing the basis of the calculation of these probabilities. The stochastic environment is realized by pools of alternative transitions. Expected regions of partial maintainability are determined through the alternative transition policies calculated by a selection mechanism, the compromise Markov chain. © 1998 John Wiley & Sons, Ltd.