Discrete and Continuous Dynamical Systems · 2003 · 113 citations · 7 references
Natural SciencesMathematicsChemical KineticsDifferential EquationsDynamical SystemsContinuous Dynamical SystemsDissipative SystemsReaction DynamicsReaction-diffusion SystemsTime Delay EffectsDelay EquationsDelay-induced Stability AnalysisReaction - Diffusion KineticsReaction FrontsReaction-diffusion EquationsStability Of Traveling WavesTraveling Wave SolutionsWave Fronts
In this paper, we establish the existence of travelingwavefronts for delayed reaction diffusion systems without quasimonotonicityin the reaction term, by using Schauder's fixed point theorem. We show themerit of our result by applying it tothe Belousov-Zhabotinskii reaction model with two delays.
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