Open Access
2014 Existence of Traveling Wave Solutions for Cholera Model
Tianran Zhang, Qingming Gou, Xiaoli Wang
Abstr. Appl. Anal. 2014(SI01): 1-11 (2014). DOI: 10.1155/2014/201094


To investigate the spreading speed of cholera, Codeço’s cholera model (2001) is developed by a reaction-diffusion model that incorporates both indirect environment-to-human and direct human-to-human transmissions and the pathogen diffusion. The two transmission incidences are supposed to be saturated with infective density and pathogen density. The basic reproduction number R 0 is defined and the formula for minimal wave speed c * is given. It is proved by shooting method that there exists a traveling wave solution with speed c for cholera model if and only if c c * .


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Tianran Zhang. Qingming Gou. Xiaoli Wang. "Existence of Traveling Wave Solutions for Cholera Model." Abstr. Appl. Anal. 2014 (SI01) 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07021919
MathSciNet: MR3191024
Digital Object Identifier: 10.1155/2014/201094

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI01 • 2014
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