Persistence of a Markovian population in a patchy environment

Abstract

An infinite system of Markov chains is used to describe population development in an interconnected system of local populations. The model can also be viewed as an inhomogeneous Markov chain where the temporal inhomogeneity is a function of the mean of the process. Conditions for population persistence, in the sense of stochastic boundedness, are found. © 1984 Springer-Verlag.