Details
Original language | English |
---|---|
Pages (from-to) | 476-498 |
Number of pages | 23 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 92 |
Issue number | 5 |
Publication status | Published - 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
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal des Mathematiques Pures et Appliquees, Vol. 92, No. 5, 11.2009, p. 476-498.
Research output: Contribution to journal › Article › Research › peer review
}
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 -