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arXiv · 1910.05823

Transition between extinction and blow-up in a generalized Fisher-KPP model

Benito Hernández-Bermejo·Ariel Sánchez-Valdés
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Abstract

Stationary solutions of the Fisher-KPP equation with general nonlinear diffusion and arbitrary reactional kinetic orders terms are characterized. Such stationary (separatrix-like) solutions disjoint the blow-up solutions from those showing extinction. In addition a criterion for general parameter values is presented, which allows determining the blow-up or vanishing character of the solutions.

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Benito Hernández-Bermejo, Ariel Sánchez-Valdés. 2019-10-13. Transition between extinction and blow-up in a generalized Fisher-KPP model. https://doi.org/10.1016/j.physleta.2014.04.027

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