Dynamics of an age-of-infection cholera model
A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final s...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1335 |
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| author | Fred Brauer Zhisheng Shuai P. van den Driessche |
| author_facet | Fred Brauer Zhisheng Shuai P. van den Driessche |
| author_sort | Fred Brauer |
| collection | DOAJ |
| description | A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected. |
| format | Article |
| id | doaj-art-0d79e40d6a834f78b8870eed2366d15d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-0d79e40d6a834f78b8870eed2366d15d2025-01-24T02:26:34ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-07-01105&61335134910.3934/mbe.2013.10.1335Dynamics of an age-of-infection cholera modelFred Brauer0Zhisheng Shuai1P. van den Driessche2Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2Department of Mathematics and Statistics, University of Victoria, Victoria, B.C., V8W 3R4Department of Mathematics and Statistics, University of Victoria, Victoria B.C., Canada V8W 3P4A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1335lyapunov functionalcholera modelfinal size.global stabilityage-of-infection |
| spellingShingle | Fred Brauer Zhisheng Shuai P. van den Driessche Dynamics of an age-of-infection cholera model Mathematical Biosciences and Engineering lyapunov functional cholera model final size. global stability age-of-infection |
| title | Dynamics of an age-of-infection cholera model |
| title_full | Dynamics of an age-of-infection cholera model |
| title_fullStr | Dynamics of an age-of-infection cholera model |
| title_full_unstemmed | Dynamics of an age-of-infection cholera model |
| title_short | Dynamics of an age-of-infection cholera model |
| title_sort | dynamics of an age of infection cholera model |
| topic | lyapunov functional cholera model final size. global stability age-of-infection |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1335 |
| work_keys_str_mv | AT fredbrauer dynamicsofanageofinfectioncholeramodel AT zhishengshuai dynamicsofanageofinfectioncholeramodel AT pvandendriessche dynamicsofanageofinfectioncholeramodel |