Stability of Piecewise Deterministic Markovian Metapopulation Processes on Networks
Probability
2019-05-28 v5
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
Cite
@article{arxiv.1704.05644,
title = {Stability of Piecewise Deterministic Markovian Metapopulation Processes on Networks},
author = {Pierre Montagnon},
journal= {arXiv preprint arXiv:1704.05644},
year = {2019}
}