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

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dc.creatorLaurençot, Philippe
dc.creatorWalker, Christoph
dc.date2007-12-20
dc.date.accessioned2026-07-07T08:53:11Z
dc.date.available2026-07-07T08:53:11Z
dc.descriptionProteus 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.
dc.identifierhttps://arxiv.org/abs/0712.3396
dc.identifierhttp://arxiv.org/abs/0712.3396
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145533
dc.subjectPopulations and Evolution
dc.subjectAnalysis of PDEs
dc.subject35M10; 35K65; 92D25
dc.titleOn an age and spatially structured population model for Proteus Mirabilis swarm-colony development
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