Proteus mirabilis swarm-colony development with drift

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Philippe Laurençot
  • Christoph Walker

Research Organisations

External Research Organisations

  • Universite de Toulouse
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Details

Original languageEnglish
Pages (from-to)476-498
Number of pages23
JournalJournal des Mathematiques Pures et Appliquees
Volume92
Issue number5
Publication statusPublished - Nov 2009

Abstract

We prove a global existence result for a model describing the swarming phenomenon of the bacterium Proteus mirabilis. The model consists of an ordinary differential equation coupled with an age-structured equation involving nonlinear degenerate diffusion term and an additional drift term.

Keywords

    Age structure, Degenerate diffusion, Population models

ASJC Scopus subject areas

Cite this

Proteus mirabilis swarm-colony development with drift. / Laurençot, Philippe; Walker, Christoph.
In: Journal des Mathematiques Pures et Appliquees, Vol. 92, No. 5, 11.2009, p. 476-498.

Research output: Contribution to journalArticleResearchpeer review

Laurençot P, Walker C. Proteus mirabilis swarm-colony development with drift. Journal des Mathematiques Pures et Appliquees. 2009 Nov;92(5):476-498. doi: 10.1016/j.matpur.2009.06.002
Laurençot, Philippe ; Walker, Christoph. / Proteus mirabilis swarm-colony development with drift. In: Journal des Mathematiques Pures et Appliquees. 2009 ; Vol. 92, No. 5. pp. 476-498.
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