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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

Authors :
Laurençot, Philippe
Walker, Christoph
Publication Year :
2007

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0712.3396
Document Type :
Working Paper