Demographic noise and piecewise deterministic Markov processes
Statistical Mechanics
2012-09-10 v2 Biological Physics
Populations and Evolution
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.
Cite
@article{arxiv.1204.5625,
title = {Demographic noise and piecewise deterministic Markov processes},
author = {John Realpe-Gomez and Tobias Galla and Alan J. McKane},
journal= {arXiv preprint arXiv:1204.5625},
year = {2012}
}
Comments
11 pages, 5 figures, minor changes