Change search
ReferencesLink to record
Permanent link

Direct link
Spatiotemporal evolution in a (2+1)-dimensional chemotaxis model
Umeå University, Faculty of Science and Technology, Department of Physics.
2012 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 391, no 1-2, 107-112 p.Article in journal (Refereed) Published
Abstract [en]

Simulations are performed to investigate the nonlinear dynamics of a (2 + 1)-dimensional chemotaxis model of Keller-Segel (KS) type, with a logistic growth term. Because of its ability to display auto-aggregation, the KS model has been widely used to simulate self-organization in many biological systems. We show that the corresponding dynamics may lead to steady-states, to divergencies in a finite time as well as to the formation of spatiotemporal irregular patterns. The latter, in particular, appears to be chaotic in part of the range of bounded solutions, as demonstrated by the analysis of wavelet power spectra. Steady-states are achieved with sufficiently large values of the chemotactic coefficient (chi) and/or with growth rates r below a critical value r(c). For r > r(c), the solutions of the differential equations of the model diverge in a finite time. We also report on the pattern formation regime, for different values of chi, r and of the diffusion coefficient D. (C) 2011 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
Amsterdam: Elsevier, 2012. Vol. 391, no 1-2, 107-112 p.
Keyword [en]
Spatio-temporal chaos, Chemotaxis model, Pattern formations, Wavelet spectra
National Category
Physical Sciences
URN: urn:nbn:se:umu:diva-50682DOI: 10.1016/j.physa.2011.07.053ISI: 000297230700015OAI: diva2:468193
Available from: 2011-12-20 Created: 2011-12-19 Last updated: 2015-10-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Misra, Amar P
By organisation
Department of Physics
In the same journal
Physica A: Statistical Mechanics and its Applications
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 58 hits
ReferencesLink to record
Permanent link

Direct link