arXiv:1605.09607 Abstract | arXiv Analytics

arXiv:1605.09607 [math.PR]Abstract References Reviews Resources

Long term behaviour of two interacting birth-and-death processes

Published 2016-05-31Version 1

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.

Comments: 4 figures

Categories: math.PR, q-bio.PE

Keywords: interacting birth-and-death processes, long term behaviour, long term evolution, continuous time markov chain, fairly general assumptions

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