Non-constant steady states for the Lengyel–Epstein system with the CIMA reaction

This paper deals with the Lengyel–Epstein model for the CIMA reaction. We establish sufficient conditions for the existence of non-homogeneous steady states by applying the topological degree theory and matrix theory. The results obtained greatly improve the results in the known literature.

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Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics letters 2014-04, Vol.30, p.19-23
Hauptverfasser:	Ma, Manjun, Tao, Jicheng, Wu, Delin, Han, Yazhou
Format:	Artikel
Sprache:	eng
Schlagworte:	Leray–Schauder degree theory Mathematical models Matrix theory Non-constant steady states Steady state The Lengyel–Epstein system Topology
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Beschreibung
Zusammenfassung:	This paper deals with the Lengyel–Epstein model for the CIMA reaction. We establish sufficient conditions for the existence of non-homogeneous steady states by applying the topological degree theory and matrix theory. The results obtained greatly improve the results in the known literature.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2013.12.006