On an age and spatially structured population model for Proteus Mirabilis swarm-colony development
Populations and Evolution
2008-01-09 v1 Analysis of PDEs
Abstract
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 display these structures when solved numerically. The model consists of an ordinary differential equation coupled with a partial differential equation involving a first-order hyperbolic aging term together with nonlinear degenerate diffusion. The system is shown to admit global weak solutions.
Keywords
Cite
@article{arxiv.0712.3396,
title = {On an age and spatially structured population model for Proteus Mirabilis swarm-colony development},
author = {Philippe Laurençot and Christoph Walker},
journal= {arXiv preprint arXiv:0712.3396},
year = {2008}
}