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Products of Compartmental Models in Epidemiology

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 01 Jan 2017Embargo end date: 01 Jan 2017 English Publisher:WileyJournal:Computational and Mathematical Methods in Medicine, volume 2,017, pages 1-16 (issn: 1748-670X, eissn: 1748-6718, Copyright policy )Funded by:NIH | Modeling contact investig...
Authors: Lee Worden; Travis C. Porco;

doi: 10.1155/2017/8613878 , 10.48550/arxiv.1702.00031

pmid: 28900467

pmc: PMC5576399

arXiv: http://arxiv.org/abs/1702.00031

Products of Compartmental Models in Epidemiology

Abstract

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.

Related Organizations
Keywords

Bioinformatics, Applied Mathematics, Biomedical Engineering, Populations and Evolution (q-bio.PE), Biological, Applied mathematics, Quantitative Biology - Quantitative Methods, Models, Biological, Mathematical Sciences, Engineering, Models, FOS: Biological sciences, Humans, Quantitative Biology - Populations and Evolution, Epidemiologic Methods, Biomedical engineering, Quantitative Methods (q-bio.QM), Research Article

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold