The existence of chemotactic travelling waves for a 1+1 kinetic model coupled with two parabolic equations. It is shown that, in the case the set of velocities is discrete, such waves generally exist; however, uniqueness doesn't always hold. In some particular cases, existence may even be lost.

Concentration Waves of Chemotactic Bacteria: The Discrete Velocity Case

2017

Abstract

The existence of chemotactic travelling waves for a 1+1 kinetic model coupled with two parabolic equations. It is shown that, in the case the set of velocities is discrete, such waves generally exist; however, uniqueness doesn't always hold. In some particular cases, existence may even be lost.
2017
Istituto Applicazioni del Calcolo ''Mauro Picone''
Inglese
Laurent Gosse and Roberto Natalini
Innovative Algorithms and Analysis
79
109
978-3-319-49262-9
https://link.springer.com/chapter/10.1007/978-3-319-49262-9_3
Springer
Milan Heidelberg NewYork Dordrecht London
ITALIA
Sì, ma tipo non specificato
Chemotaxis kinetic model
discrete velocities
travelling wave
Partially supported by PICS Project CNR-CNRS 2015-2017 MATHCELL (agreement No. 231398) "Mathematical models and numerical simulations for the movement of cells".
1
02 Contributo in Volume::02.01 Contributo in volume (Capitolo o Saggio)
268
none
Vincent CalvezLaurent GosseMonika Twarogowska,
info:eu-repo/semantics/bookPart
   Mesoscopic models for propagation in biology
   MESOPROBIO
   H2020
   639638
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/333639
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact