Abstract and Applied Analysis
Volume 2011 (2011), Article ID 986738, 22 pages
http://dx.doi.org/10.1155/2011/986738
Research Article

Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements

Luisa Malaguti,1 Cristina Marcelli,2 and Serena Matucci3

1Department of Engineering Sciences and Methods, University of Modena and Reggio Emilia, 42122 Reggio Emilia, Italy
2Department of Mathematical Sciences, Polytechnic University of Marche, 60131 Ancona, Italy
3Department of Electronic and Telecommunications, University of Florence, 50139 Florence, Italy

Received 26 July 2011; Revised 18 October 2011; Accepted 18 October 2011

Academic Editor: Michiel Bertsch

Copyright © 2011 Luisa Malaguti et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper deals with a degenerate reaction-diffusion equation, including aggregative movements and convective terms. The model also incorporates a real parameter causing the change from a purely diffusive to a diffusive-aggregative and to a purely aggregative regime. Existence and qualitative properties of traveling wave solutions are investigated, and estimates of their threshold speeds are furnished. Further, the continuous dependence of the threshold wave speed and of the wave profiles on a real parameter is studied, both when the process maintains its diffusion-aggregation nature and when it switches from it to another regime.