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On the uniqueness of semi-wavefronts for non-local delayed reaction–diffusion equations
Authors:Maitere Aguerrea
Institution:Facultad de Ciencias Básicas, Universidad Católica del Maule, Casilla 617, Talca, Chile
Abstract:We establish the uniqueness of semi-wavefront solution for a non-local delayed reaction–diffusion equation. This result is obtained by using a generalization of the Diekmann–Kaper theory for a nonlinear convolution equation. Several applications to the systems of non-local reaction–diffusion equations with distributed time delay are also considered.
Keywords:Time-delayed reaction&ndash  diffusion equation  Positive wavefront  Non-local interaction  Minimal wave  Semi-wavefront  Uniqueness
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