Abstract and Applied Analysis
Volume 2013 (2013), Article ID 216913, 13 pages
http://dx.doi.org/10.1155/2013/216913
Research Article

Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model

Sheng Wang,1 Wenbin Liu,2 Zhengguang Guo,1 and Weiming Wang1

1College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China
2College of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China

Received 4 February 2013; Revised 17 March 2013; Accepted 17 March 2013

Academic Editor: Anke Meyer-Baese

Copyright © 2013 Sheng Wang 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 investigate the traveling wave solutions in a reaction-diffusion epidemic model. The existence of the wave solutions is derived through monotone iteration of a pair of classical upper and lower solutions. The traveling wave solutions are shown to be unique and strictly monotonic. Furthermore, we determine the critical minimal wave speed.