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Stability of piecewise deterministic Markovian metapopulation processes on networks

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  • Montagnon, Pierre

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.

Suggested Citation

  • Montagnon, Pierre, 2020. "Stability of piecewise deterministic Markovian metapopulation processes on networks," Stochastic Processes and their Applications, Elsevier, vol. 130(3), pages 1515-1544.
    • Handle: RePEc:eee:spapps:v:130:y:2020:i:3:p:1515-1544
    DOI: 10.1016/j.spa.2019.05.012
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