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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
- 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