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2013 Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model
Sheng Wang, Wenbin Liu, Zhengguang Guo, Weiming Wang
Abstr. Appl. Anal. 2013(SI55): 1-13 (2013). DOI: 10.1155/2013/216913


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.


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Sheng Wang. Wenbin Liu. Zhengguang Guo. Weiming Wang. "Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model." Abstr. Appl. Anal. 2013 (SI55) 1 - 13, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1291.35418
MathSciNet: MR3044984
Digital Object Identifier: 10.1155/2013/216913

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI55 • 2013
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