Journal of Applied Mathematics
Volume 2012 (2012), Article ID 705197, 11 pages
http://dx.doi.org/10.1155/2012/705197
Research Article

Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay

Hai-Qin Zhao1 and San-Yang Liu2

1College of Mathematics and Information Science, Xianyang Normal University, Xianyang, Shaanxi 712000, China
2Department of Mathematics, Xidian University, Xi’an, Shaanxi 710071, China

Received 25 August 2012; Accepted 23 October 2012

Academic Editor: Wan-Tong Li

Copyright © 2012 Hai-Qin Zhao and San-Yang Liu. 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

This paper is concerned with the traveling fronts of a diffusive food-limited population model with spatiotemporal delay. Sufficient conditions are established for the existence of traveling wave fronts by choosing different kinds of delay kernels. The approach used here is the upper-lower solution method and monotone iteration technique. Our work extends and/or covers some previous results.