Proteus mirabilis swarm-colony development with drift

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Philippe Laurençot
  • Christoph Walker

Organisationseinheiten

Externe Organisationen

  • Université de Toulouse
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)476-498
Seitenumfang23
FachzeitschriftJournal des Mathematiques Pures et Appliquees
Jahrgang92
Ausgabenummer5
PublikationsstatusVeröffentlicht - 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.

ASJC Scopus Sachgebiete

Zitieren

Proteus mirabilis swarm-colony development with drift. / Laurençot, Philippe; Walker, Christoph.
in: Journal des Mathematiques Pures et Appliquees, Jahrgang 92, Nr. 5, 11.2009, S. 476-498.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-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 ; Jahrgang 92, Nr. 5. S. 476-498.
Download
@article{94c56f33db8a412a89e35973404d82db,
title = "Proteus mirabilis swarm-colony development with drift",
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",
author = "Philippe Lauren{\c c}ot and Christoph Walker",
note = "Copyright: Copyright 2009 Elsevier B.V., All rights reserved.",
year = "2009",
month = nov,
doi = "10.1016/j.matpur.2009.06.002",
language = "English",
volume = "92",
pages = "476--498",
journal = "Journal des Mathematiques Pures et Appliquees",
issn = "0021-7824",
publisher = "Elsevier Masson SAS",
number = "5",

}

Download

TY - JOUR

T1 - Proteus mirabilis swarm-colony development with drift

AU - Laurençot, Philippe

AU - Walker, Christoph

N1 - Copyright: Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2009/11

Y1 - 2009/11

N2 - 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.

AB - 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.

KW - Age structure

KW - Degenerate diffusion

KW - Population models

UR - http://www.scopus.com/inward/record.url?scp=71549132496&partnerID=8YFLogxK

U2 - 10.1016/j.matpur.2009.06.002

DO - 10.1016/j.matpur.2009.06.002

M3 - Article

AN - SCOPUS:71549132496

VL - 92

SP - 476

EP - 498

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

SN - 0021-7824

IS - 5

ER -