Stability of piecewise deterministic Markovian metapopulation processes on networks

Pierre Montagnon

Stochastic Processes and their Applications, 2020, vol. 130, issue 3, 1515-1544

Abstract: The purpose of this paper is to study a Markovian metapopulation model on a directed graph with edge-supported transfers and deterministic intra-nodal population dynamics. We first state tractable stability conditions for two typical frameworks motivated by applications: constant jump rates with multiplicative transfer amplitudes, and coercive jump rates with unitary transfers. More general criteria for boundedness, petiteness and ergodicity are then given.

Keywords: Metapopulation models; Population dynamics; Piecewise deterministic Markov processes; Stability conditions; Ergodicity (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:130:y:2020:i:3:p:1515-1544

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DOI: 10.1016/j.spa.2019.05.012

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