422 citations · 2.4k across the 156 of their papers we have counts for
4 papers · 2 filters
Heterogeneous Population Dynamics and Scaling Laws near Epidemic Outbreaks
Andreas Widder, Christian Kuehn
In this paper, we focus on the influence of heterogeneity and stochasticity of the population on the dynamical structure of a basic susceptible-infected-susceptible (SIS) model. Fi…
Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation
Christian Kuehn
We study the Allen-Cahn equation with a cubic-quintic nonlinear term and a stochastic -trace-class stochastic forcing in two spatial dimensions. This stochastic partial differen…
Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs
Christian Kuehn
Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as acro…
Multiscale Geometry of the Olsen Model and Non-Classical Relaxation Oscillations
Christian Kuehn, Peter Szmolyan
We study the Olsen model for the peroxidase-oxidase reaction. The dynamics is analyzed using a geometric decomposition based upon multiple time scales. The Olsen model is four-dime…