Open AccessExistence of traveling wavefronts of delayed reaction diffusion systems without monotonicity
Author(s) -
Jianhua Huang,
Xingfu Zou
Publication year - 2003
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2003.9.925
Subject(s) - reaction–diffusion system , monotonic function , mathematics , traveling wave , diffusion , wavefront , fixed point theorem , term (time) , mathematical analysis , physics , thermodynamics , optics , quantum mechanics
In this paper, we establish the existence of traveling wavefronts for delayed reaction diffusion systems without quasimonotonicity in the reaction term, by using Schauder's fixed point theorem. We show the merit of our result by applying it to the Belousov-Zhabotinskii reaction model with two delays.
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