Abstract and Applied Analysis
Volume 2013 (2013), Article ID 725495, 12 pages
http://dx.doi.org/10.1155/2013/725495
Research Article

Traveling Wavefronts of Competing Pioneer and Climax Model with Nonlocal Diffusion

Xiaojing Yu, Peixuan Weng, and Yehui Huang

School of Mathematics, South China Normal University, Guangzhou 510631, China

Received 17 November 2012; Revised 11 March 2013; Accepted 21 March 2013

Academic Editor: Dumitru Baleanu

Copyright © 2013 Xiaojing Yu 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

We study a competing pioneer-climax species model with nonlocal diffusion. By constructing a pair of upper-lower solutions and using the iterative technique, we establish the existence of traveling wavefronts connecting the pioneer-existence equilibrium and the coexistence equilibrium. We also discuss the asymptotic behavior of the wave tail for the traveling wavefronts as .