Tobias Brett, Tobias Galla
We develop a systematic approach to the linear-noise approximation for stochastic reaction systems with distributed delays. Unlike most existing work our formalism does not rely on a master equation as a starting point, instead it is based on a dynamical generating functional describing the probability measure over all possible paths of the dynamics. We derive general expressions for the Gaussian approximation for a broad class of non-Markovian systems with distributed delay. Exemplars of a model of gene regulation with delayed auto-inhibition and a model of epidemic spread with delayed recovery provide convincing evidence of the applicability of our results.
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http://arxiv.org/abs/1302.7166
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