On an age and spatially structured population model for Proteus Mirabilis swarm-colony development

Details On an age and spatially structured population model for Proteus Mirabilis swarm-colony development On an age and spatially structured population model for Proteus Mirabilis swarm-colony development

2007-12-20

arxiv.org/abs/0712.3396v1

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

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.

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