Existence of Traveling Wave Solutions for Cholera Model
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 saturate...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/201094 |
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| Summary: | 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 R0 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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| ISSN: | 1085-3375 1687-0409 |