Demographic noise and piecewise deterministic Markov processes

Details Demographic noise and piecewise deterministic Markov processes Demographic noise and piecewise deterministic Markov processes

2012-04-25

arxiv.org/abs/1204.5625v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures

Scientific paper

We explore a class of hybrid (piecewise deterministic) systems characterized by a relatively large number of individuals inhabiting an environment whose state is described by a set of continuous variables. We use analytical and numerical methods of 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 semi-arid ecosystems. Using a system-size expansion we calculate the power spectrum of the fluctuations in the system which predicts the existence of noise-induced oscillations.

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