32 citations · 52 across the 9 of their papers we have counts for
4 papers · 1 filter
Chaotic motion and singularity structures of front solutions in multi-component FitzHugh-Nagumo-type systems
Martina Chirilus-Bruckner, Peter van Heijster, Jens D. M. Rademacher
We study the dynamics of front solutions in a certain class of multi-component reaction-diffusion systems, where one fast component governed by an Allen-Cahn equation is weakly cou…
Stability of asymptotic waves in the Fisher-Stefan equation
T. T. H. Bui, P. van Heijster, R. Marangell
We establish spectral, linear, and nonlinear stability of the vanishing and slow-moving travelling waves that arise as time asymptotic solutions to the Fisher-Stefan equation. Nonl…
Waves in a Stochastic Cell Motility Model
Christian Hamster, Peter van Heijster
In Bhattacharya et al. (Science Advances, 2020), a set of chemical reactions involved in the dynamics of actin waves in cells was studied. Both at the microscopic level, where the…
Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis
P. N. Davis, P. van Heijster, R. Marangell +1
In this manuscript, we prove the existence of slow and fast traveling wave solutions in the original Gatenby--Gawlinski model. We prove the existence of a slow traveling wave solut…