Stationarity of a stochastic population flow model

Abstract

We consider a classical population flow model in which individuals pass through n strata with certain state-dependent probabilities and at every time t = 0, 1, 2, ⃛, there is a stochastic inflow of new individuals to every stratum. For a stationary inflow process we prove the convergence of the joint distribution of group sizes and derive the limiting Laplace transform. © 1999 Applied Probability Trust.