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math.AP2022★ 1 cited
Front selection in reaction-diffusion systems via diffusive normal forms
Montie Avery
We show that propagation speeds in invasion processes modeled by reaction-diffusion systems are determined by marginal spectral stability conditions, as predicted by the marginal s…
math.AP2022★ 3 cited
Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity
Montie Avery, Matt Holzer, Arnd Scheel
We analyze the transition between pulled and pushed fronts both analytically and numerically from a model-independent perspective. Based on minimal conceptual assumptions, we show…