The nonplanar traveling fronts of reaction-diffusion equations have been attracted a lot of attention and pyramidal traveling fronts for the nonlocal delayed diffusion equation are also established in RN with N ≥ 3.In fact,the uniqueness and stability for such N-dimensional pyramidal traveling fronts are very interesting problems.The current paper shows that the pyramidal traveling front for the nonlocal delayed diffusion equation in R3 is uniquely determined,which is asymptotically stable when the initial perturbations decay at infinity.
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