Long Term Behaviour of Locally Interacting Birth-and-Death Processes
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In this paper we study long-term evolution of a finite system of locally interacting birth-and-death processes labelled by vertices of a finite connected graph. A detailed description of the asymptotic behaviour is obtained in the case of both constant vertex degree graphs and star graphs. The model is motivated by modelling interactions between populations, adsorption-desorption processes and is related to interacting particle systems, Gibbs models with unbounded spins, as well as urn models with interaction.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Statistical Physics|
|Publication status||Published - 2015|