2 citations · 2 across the 5 of their papers we have counts for
5 papers
Neural Ordinary Differential Equations for Learning and Extrapolating System Dynamics Across Bifurcations
Eva van Tegelen, George van Voorn, Ioannis Athanasiadis +1
Forecasting system behaviour near and across bifurcations is crucial for identifying potential shifts in dynamical systems. While machine learning has recently been used to learn c…
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…
Traveling pulse solutions in a three-component FitzHugh-Nagumo Model
Takashi Teramoto, Peter van Heijster
We use geometric singular perturbation techniques combined with an action functional approach to study traveling pulse solutions in a three-component FitzHugh--Nagumo model. First,…
Bifurcation analysis of a prey-predator model with predator intra-specific interactions and ratio-dependent functional response
Claudio Arancibia-Ibarra, Pablo Aguirre, José Flores +1
We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response and show the existence and stability of two interior equil…
(In)Stability of Travelling Waves in a Model of Haptotaxis
K. E. Harley, P. van Heijster, R. Marangell +3
We examine the spectral stability of travelling waves of the haptotaxis model studied in Harley et al (2014a). In the process we apply Liénard coordinates to the linearised stabili…