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arXiv · 1902.00368

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

Eduardo Hernández·Sergei Trofimchuk
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Abstract

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.

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Eduardo Hernández, Sergei Trofimchuk. 2019-01-28. Nonstandard quasi-monotonicity: an application to the wave existence in a neutral KPP-Fisher equation. https://doi.org/10.1007/s10884-019-09748-z

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