Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion
classification
🧮 math.AP
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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