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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...

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Detalles Bibliográficos
Autores principales: Posny, Drew, Wang, Jin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2014
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.
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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
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