arxiv: 1403.0166 · v3 · pith:6JZVLXA6new · submitted 2014-03-02 · 🧮 math.AP

Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion

Tau Shean Lim , Andrej Zlatos This is my paper

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keywords diffusionfisher-kppfrontsinhomogeneousnon-localreactionssolutionstransition

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We prove existence of and construct transition fronts for a class of reaction- diffusion equations with spatially inhomogeneous Fisher-KPP type reactions and non-local diffusion. Our approach is based on finding these solutions as perturbations of appropriate solutions to the linearization of the PDE at zero. Our work extends a method introduced by one of us to study such questions in the case of classical diffusion.

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Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion

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