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Products of Compartmental Models in Epidemiology

We show that many structured epidemic models may be described using a straightforward product structure in this paper. Such products, derived from products of directed graphs, may represent useful refinements including geographic and demographic structure, age structure, gender, risk groups, or immu...

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Detalles Bibliográficos
Autores principales: Worden, Lee, Porco, Travis C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5576399/
https://www.ncbi.nlm.nih.gov/pubmed/28900467
http://dx.doi.org/10.1155/2017/8613878
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author Worden, Lee
Porco, Travis C.
author_facet Worden, Lee
Porco, Travis C.
author_sort Worden, Lee
collection PubMed
description We show that many structured epidemic models may be described using a straightforward product structure in this paper. Such products, derived from products of directed graphs, may represent useful refinements including geographic and demographic structure, age structure, gender, risk groups, or immunity status. Extension to multistrain dynamics, that is, pathogen heterogeneity, is also shown to be feasible in this framework. Systematic use of such products may aid in model development and exploration, can yield insight, and could form the basis of a systematic approach to numerical structural sensitivity analysis.
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spelling pubmed-55763992017-09-12 Products of Compartmental Models in Epidemiology Worden, Lee Porco, Travis C. Comput Math Methods Med Research Article We show that many structured epidemic models may be described using a straightforward product structure in this paper. Such products, derived from products of directed graphs, may represent useful refinements including geographic and demographic structure, age structure, gender, risk groups, or immunity status. Extension to multistrain dynamics, that is, pathogen heterogeneity, is also shown to be feasible in this framework. Systematic use of such products may aid in model development and exploration, can yield insight, and could form the basis of a systematic approach to numerical structural sensitivity analysis. Hindawi 2017 2017-08-16 /pmc/articles/PMC5576399/ /pubmed/28900467 http://dx.doi.org/10.1155/2017/8613878 Text en Copyright © 2017 Lee Worden and Travis C. Porco. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Worden, Lee
Porco, Travis C.
Products of Compartmental Models in Epidemiology
title Products of Compartmental Models in Epidemiology
title_full Products of Compartmental Models in Epidemiology
title_fullStr Products of Compartmental Models in Epidemiology
title_full_unstemmed Products of Compartmental Models in Epidemiology
title_short Products of Compartmental Models in Epidemiology
title_sort products of compartmental models in epidemiology
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5576399/
https://www.ncbi.nlm.nih.gov/pubmed/28900467
http://dx.doi.org/10.1155/2017/8613878
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