Chemical Turing Patterns and Diffusive Instabilities

David J. Wollkind () and Bonni J. Dichone
Additional contact information
David J. Wollkind: Washington State University, Department of Mathematics
Bonni J. Dichone: Gonzaga University, Department of Mathematics

Chapter Chapter 8 in Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences, 2017, pp 167-186 from Springer

Abstract: Abstract The Brusselator activator-inhibitor reaction-diffusion model is considered and conditions deduced by a normal-mode linear stability analysis for the development of chemical Turing instabilities over a parameter range for which the dynamical system in the absence of diffusion would exhibit a stable homogeneous distribution. The effect the introduction of an immobilizer would have on such diffusive instabilities is also examined. The limitations of linear stability predictions of this sort are discussed and the results of a nonlinear stability analysis which will be treated in detail in later chapters are sketched for the Brusselator. In the problems similar normal-mode linear stability analyses of the Schnackenberg simplification of the Brusselator and a simplified version of the so-called CDIMA (Chlorine Dioxide Iodine Malonic Acid) chemical reaction-diffusion system are considered.

Date: 2017
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-73518-4_8

Ordering information: This item can be ordered from
http://www.springer.com/9783319735184

DOI: 10.1007/978-3-319-73518-4_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().