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.
"Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model." Abstr. Appl. Anal. 2013 (SI55) 1 - 13, 2013. https://doi.org/10.1155/2013/216913