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Applied Mathematics and Nonlinear Sciences
Volume 2 (2017): Issue 1 (January 2017)
Open Access
On the stabilizing effect of chemotaxis on bacterial aggregation patterns
J. Alejandro Butanda
J. Alejandro Butanda
,
Carlos Málaga
Carlos Málaga
and
Ramón G. Plaza
Ramón G. Plaza
| May 16, 2017
Applied Mathematics and Nonlinear Sciences
Volume 2 (2017): Issue 1 (January 2017)
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Published Online:
May 16, 2017
Page range:
157 - 172
Received:
Feb 05, 2017
Accepted:
May 16, 2017
DOI:
https://doi.org/10.21042/AMNS.2017.1.00013
Keywords
Nutrient chemotaxis
,
non-linear cross diffusion
,
stability of fronts
© 2017 J. Alejandro Butanda, Carlos Málaga, Ramón G. Plaza, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Fig. 1
A sequence of three time steps, in rows, of the contour plots of u computed numerically, for three values of χ0, in columns, showing the change of morphology in the bacterial patterns. Notice the stabilizing effect of chemotaxis on the bacteria envelope front.
Fig. 2
Plot of Θ(v0, χ0) as a function of χ0 ≥ 0 for different fixed values of v0 = 0.5,0.75,1.0,1.5 (color plot online).