Journal of Applied Mathematics
Volume 2013 (2013), Article ID 536381, 8 pages
http://dx.doi.org/10.1155/2013/536381
Research Article

Global Attractor for a Chemotaxis Model with Reaction Term

School of Mathematics and Statistics, Xuchang University, Xuchang 461000, China

Received 15 December 2012; Revised 19 June 2013; Accepted 19 June 2013

Academic Editor: Marco H. Terra

Copyright © 2013 Xueyong Chen and Jianwei Shen. 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

A chemotaxis model with reproduction term in a bounded domain is discussed in this paper, where . First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.