2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2026
Selection of pushed pattern-forming fronts in the FitzHugh-Nagumo system
Montie Avery, Paul Carter, Björn de Rijk
We establish nonlinear stability of fronts that describe the creation of a periodic pattern through the invasion of an unstable state. Our results concern pushed fronts, that is, f…
math.AP2024
Deformations of acid-mediated invasive tumors in a model with Allee effect
Paul Carter, Arjen Doelman, Peter van Heijster +4
We consider a Gatenby--Gawlinski-type model of invasive tumors in the presence of an Allee effect. We describe the construction of bistable one-dimensional traveling fronts using s…
math.DS2023★ 2 cited
Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model
Paul Carter, Arjen Doelman, Annalisa Iuorio +1
Reaction-diffusion models describing interactions between vegetation and water reveal the emergence of several types of patterns and travelling wave solutions corresponding to stru…