Existence of traveling waves is established for Fisher-KPP and Belousov-Zhabotinski equations with small delays in diffusion and reaction via monotone iteration based on Green's function sign properties for a delayed linear equation.
Schaaf, Asymptotic Behavior and Traveling Wave Solutions fo r Parabolic Functional Differential Equations, Transactions of the American Mathematical Society 302 (1987) 587-615
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Traveling waves in reaction-diffusion equations with delay in both diffusion and reaction terms
Existence of traveling waves is established for Fisher-KPP and Belousov-Zhabotinski equations with small delays in diffusion and reaction via monotone iteration based on Green's function sign properties for a delayed linear equation.