Abstract
In this paper we study the long term evolution of a continuous time Markov chain formed by two interacting birth-and-death processes and motivated by modelling interaction between populations. We show transience/recurrence of the Markov chain under fairly general assumptions on transition rates and describe in more detail its asymptotic behaviour in some transient cases.
| Original language | English |
|---|---|
| Pages (from-to) | 85-106 |
| Number of pages | 22 |
| Journal | Markov Processes and Related Fields |
| Volume | 24 |
| Issue number | 1 |
| Publication status | Published - 2018 |