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Modelling cholera in periodic environments
We propose a deterministic compartmental model for cholera dynamics in periodic environments. The model incorporates seasonal variation into a general formulation for the incidence (or, force of infection) and the pathogen concentration. The basic reproduction number of the periodic model is derived...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Taylor & Francis
2014
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220820/ https://www.ncbi.nlm.nih.gov/pubmed/24963974 http://dx.doi.org/10.1080/17513758.2014.896482 |
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author | Posny, Drew Wang, Jin |
author_facet | Posny, Drew Wang, Jin |
author_sort | Posny, Drew |
collection | PubMed |
description | We propose a deterministic compartmental model for cholera dynamics in periodic environments. The model incorporates seasonal variation into a general formulation for the incidence (or, force of infection) and the pathogen concentration. The basic reproduction number of the periodic model is derived, based on which a careful analysis is conducted on the epidemic and endemic dynamics of cholera. Several specific examples are presented to demonstrate this general model, and numerical simulation results are used to validate the analytical prediction. |
format | Online Article Text |
id | pubmed-4220820 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Taylor & Francis |
record_format | MEDLINE/PubMed |
spelling | pubmed-42208202014-11-17 Modelling cholera in periodic environments Posny, Drew Wang, Jin J Biol Dyn Original Articles We propose a deterministic compartmental model for cholera dynamics in periodic environments. The model incorporates seasonal variation into a general formulation for the incidence (or, force of infection) and the pathogen concentration. The basic reproduction number of the periodic model is derived, based on which a careful analysis is conducted on the epidemic and endemic dynamics of cholera. Several specific examples are presented to demonstrate this general model, and numerical simulation results are used to validate the analytical prediction. Taylor & Francis 2014-01-01 2014-03-10 /pmc/articles/PMC4220820/ /pubmed/24963974 http://dx.doi.org/10.1080/17513758.2014.896482 Text en © 2014 The Author(s). Published by Taylor & Francis. http://creativecommons.org/licenses/by/3.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The moral rights of the named author(s) have been asserted. |
spellingShingle | Original Articles Posny, Drew Wang, Jin Modelling cholera in periodic environments |
title | Modelling cholera in periodic environments |
title_full | Modelling cholera in periodic environments |
title_fullStr | Modelling cholera in periodic environments |
title_full_unstemmed | Modelling cholera in periodic environments |
title_short | Modelling cholera in periodic environments |
title_sort | modelling cholera in periodic environments |
topic | Original Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220820/ https://www.ncbi.nlm.nih.gov/pubmed/24963974 http://dx.doi.org/10.1080/17513758.2014.896482 |
work_keys_str_mv | AT posnydrew modellingcholerainperiodicenvironments AT wangjin modellingcholerainperiodicenvironments |