3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2008
Age-dependent equations with non-linear diffusion
Christoph Walker
We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and ag…
math.AP2008★ 3 cited
Proteus mirabilis swarm-colony development with drift
Philippe Laurençot, Christoph Walker
We prove a global existence result for a model describing the swarming phenomenon of the bacterium Proteus mirabilis. The model consists of an ordinary differential equation couple…
q-bio.PE2007★ 2 cited
On an age and spatially structured population model for Proteus Mirabilis swarm-colony development
Philippe Laurençot, Christoph Walker
Proteus mirabilis are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to dis…