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On the stabilizing effect of chemotaxis on bacterial aggregation patterns

J. Alejandro Butanda

J. Alejandro Butanda

Centro de Investigación en Matemáticas A. C.Guanajuato, Mexico
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Butanda, J. Alejandro
, 
Carlos Málaga

Carlos Málaga

Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de MéxicoCd. de México, Mexico
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Málaga, Carlos
 and 
Ramón G. Plaza

Ramón G. Plaza

Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de MéxicoCd. de México, Mexico
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Plaza, Ramón G.
  
May 16, 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
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© 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.
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).
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).
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Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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