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

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.

preprint2014arXivOpen access
Tau Shean LimAndrej Zlatos
math.AP
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Tau Shean LimAndrej Zlatos

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