Spatiotemporal evolution in a (2+1)-dimensional chemotaxis model
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
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.
Spatio-temporal chaos, Chemotaxis model, Pattern formations, Wavelet spectra
IdentifiersURN: urn:nbn:se:umu:diva-50682DOI: 10.1016/j.physa.2011.07.053ISI: 000297230700015OAI: oai:DiVA.org:umu-50682DiVA: diva2:468193