The linear noise approximation for reaction-diffusion systems on networks

Malbor Asllani, Tommaso Biancalani, Duccio Fanelli, Alan J. McKane

Research output: Contribution to journalArticlepeer-review

Abstract

Stochastic reaction-diffusion models can be analytically studied on complex networks using the linear noise approximation. This is illustrated through the use of a specific stochastic model, which displays travelling waves in its deterministic limit. The role of stochastic fluctuations is investigated and shown to drive the emergence of stochastic waves beyond the region of the instability predicted from the deterministic theory. Simulations are performed to test the theoretical results and are analyzed via a generalized Fourier transform algorithm. This transform is defined using the eigenvectors of the discrete Laplacian defined on the network. A peak in the numerical power spectrum of the fluctuations is observed in quantitative agreement with the theoretical predictions.

Original languageEnglish
Article number476
JournalEuropean Physical Journal B
Volume86
Issue number11
DOIs
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

Dive into the research topics of 'The linear noise approximation for reaction-diffusion systems on networks'. Together they form a unique fingerprint.

Cite this