Demographic noise and piecewise deterministic Markov processes

被引：9

作者：

Realpe-Gomez, John ^{[1
]}

Galla, Tobias ^{[1
]}

McKane, Alan J. ^{[1
]}

机构：

[1] Univ Manchester, Sch Phys & Astron, Manchester M13 9PL, Lancs, England

来源：

PHYSICAL REVIEW E | 2012年 / 86卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

RAINFALL INTERMITTENCY; PATTERN-FORMATION; VEGETATION; ORGANIZATION; SIMULATION;

D O I：

10.1103/PhysRevE.86.011137

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：10

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