Bifurcation analysis of brown tide by reaction-diffusion equation using finite element method
type: Item
instance of: scholarly article
title: Bifurcation analysis of brown tide by reaction-diffusion equation using finite element method
zbMATH Open document ID: 0872.76055
author: Mutsuto Kawahara
author: Yan Ding
published in: Journal of Computational Physics
publication date: 1997-10-23T00:00:00Z
review text: We analyze the bifurcation of a biodynamics system in a two-dimensional domain by virtue of reaction-diffusion equations. The discretization method in space is the finite element method. The computational algorithm for an eigenspectrum is described in detail. On the basis of an analysis of eigenspectra according to Helmholtz's equation, the discrete spectra in regards to the physical variables are numerically obtained in two-dimensional space. In order to investigate this mathematical model in regards to its practical use, we analyzed the stability of two cases, i.e., hydranth regeneration in the marine hydroid Tubularia and a brown tide in a harbor in Japan.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 76Z99
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 994002
zbMATH Keywords: biodynamics
zbMATH Keywords: eigenspectrum
zbMATH Keywords: Helmholtz's equation
zbMATH Keywords: discrete spectra
zbMATH Keywords: stability
zbMATH Keywords: marine hydroid Tubularia
MaRDI profile type: Publication
full work available at URL: jcph.1996.5614
OpenAlex ID: W2093658073
cites work: Q4077008
cites work: A model for hydranth regeneration in tubularia
cites work: Q3738973
cites work: Q5680941
cites work: Q4158861
cites work: Q3943431
cites work: Q3779695
DOI: 10.1006/JCPH.1996.5614
description: scientific article; zbMATH DE number 994002