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.