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, issue 1

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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https://doi.org/10.1155/2013/216913

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:216913

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