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Nonstandard quasi-monotonicity: an application to the wave existence in a neutral KPP-Fisher equation

We revisit Wu and Zou non-standard quasi-monotonicity approach for proving existence of monotone wavefronts in monostable reaction-diffusion equations with delays. This allows to solve the problem of existence of monotone wavefronts in a neutral KPP-Fisher equation. In addition, using some new ideas proposed recently by Solar et al., we establish the uniqueness (up to a translation) of these monotone wavefronts.

preprint2019arXivOpen access
Eduardo HernándezSergei Trofimchuk
math.AP
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Eduardo HernándezSergei Trofimchuk

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