3 papers
math.AP2024
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…
math.AP2024
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…
q-bio.PE2024
Random Evolutionary Dynamics in Predator-Prey Systems Yields Large, Clustered Ecosystems
Christian Hamster, Jorik Schaap, Peter van Heijster +1
We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is class…