Existence, Uniqueness and Stability of Traveling Wavefronts for Nonlocal Dispersal Equations with Convolution Type Bistable Nonlinearity
نویسندگان
چکیده
This article concerns the bistable traveling wavefronts of a nonlocal dispersal equation with convolution type bistable nonlinearity. Applying a homotopy method, we establish the existence of traveling wavefronts. If the wave speed does not vanish, i.e. c 6= 0, then the uniqueness (up to translation) and the globally asymptotical stability of traveling wavefronts are proved by the comparison principle and squeezing technique.
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