Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
Details
Serval ID
serval:BIB_02C0CAA1990C
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
Journal
Nonlinear Analysis: Real World Applications
ISSN
1468-1218 (Print)
Publication state
Published
Issued date
2013
Peer-reviewed
Oui
Volume
14
Number
1
Pages
601-612
Language
english
Abstract
Cross-diffusion driven instabilities have gained a
considerable attention in the field of population
dynamics, mainly due to their ability to predict some
important features in the study of spatial distribution
of species in ecological systems. This paper is concerned
with some mathematical and numerical aspects of a
particular reaction-diffusion system with
cross-diffusion, modeling the effect of allelopathy on
two plankton species. Based on a stability analysis and a
series of numerical simulations performed with a finite
volume scheme, we show that the cross-diffusion
coefficient plays a important role on the pattern
selection.
considerable attention in the field of population
dynamics, mainly due to their ability to predict some
important features in the study of spatial distribution
of species in ecological systems. This paper is concerned
with some mathematical and numerical aspects of a
particular reaction-diffusion system with
cross-diffusion, modeling the effect of allelopathy on
two plankton species. Based on a stability analysis and a
series of numerical simulations performed with a finite
volume scheme, we show that the cross-diffusion
coefficient plays a important role on the pattern
selection.
Keywords
pattern formation, cross-diffusion, pattern selection, finite volume approximation
Create date
02/07/2013 9:54
Last modification date
20/08/2019 12:24
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