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An Age and Spatially Structured Population Modelfor Proteus Mirabilis Swarm-Colony Development
Published online by Cambridge University Press: 23 October 2008
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.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 3 , Issue 7: Special issue dedicated to Glenn Webb , 2008 , pp. 49 - 77
- Copyright
- © EDP Sciences, 2008
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