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Existence of Traveling Wave Solutions for Cholera Model
Joint Authors
Zhang, Tianran
Gou, Qingming
Wang, Xiaoli
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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*.
American Psychological Association (APA)
Zhang, Tianran& Gou, Qingming& Wang, Xiaoli. 2014. Existence of Traveling Wave Solutions for Cholera Model. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013465
Modern Language Association (MLA)
Zhang, Tianran…[et al.]. Existence of Traveling Wave Solutions for Cholera Model. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013465
American Medical Association (AMA)
Zhang, Tianran& Gou, Qingming& Wang, Xiaoli. Existence of Traveling Wave Solutions for Cholera Model. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013465
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013465