Demographic noise and piecewise deterministic Markov processes

John Realpe-Gomez; Tobias Galla; Alan J. Mckane

doi:10.1103/PhysRevE.86.011137

Demographic noise and piecewise deterministic Markov processes

John Realpe-Gomez, Tobias Galla, Alan J. Mckane

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Abstract

We explore a class of hybrid (piecewise deterministic) systems characterized by a large number of individuals inhabiting an environment whose state is described by a set of continuous variables. We use analytical and numerical methods from nonequilibrium statistical mechanics to study the influence that intrinsic noise has on the qualitative behavior of the system. We discuss the application of these concepts to the case of semiarid ecosystems. Using a system-size expansion we calculate the power spectrum of the fluctuations in the system. This predicts the existence of noise-induced oscillations. © 2012 American Physical Society.

Original language	English
Article number	011137
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	86
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.86.011137
Publication status	Published - 30 Jul 2012

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Demographic noise and piecewise deterministic Markov processes

Abstract

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