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arXiv · 1704.05644

Stability of Piecewise Deterministic Markovian Metapopulation Processes on Networks

Pierre Montagnon
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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.

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Pierre Montagnon. 2017-04-19. Stability of Piecewise Deterministic Markovian Metapopulation Processes on Networks. https://arxiv.org/abs/1704.05644

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