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arXiv · 1403.0166

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

Tau Shean Lim·Andrej Zlatos
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Abstract

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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Tau Shean Lim, Andrej Zlatos. 2014-03-02. Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion. https://arxiv.org/abs/1403.0166

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