Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model

Sheng Wang, Wenbin Liu, Zhengguang Guo and Weiming Wang

Abstract and Applied Analysis, 2013, vol. 2013, 1-13

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:216913

DOI: 10.1155/2013/216913

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