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A state-time epidemiology model of tuberculosis: Importance of re-infection

Paper ID Volume ID Publish Year Pages File Format Full-Text
15204 1391 2012 8 PDF Available
Title
A state-time epidemiology model of tuberculosis: Importance of re-infection
Abstract

An epidemiological model is presented that considers five possible states of a population: susceptible (S), exposed (W), infectious (Y), in treatment (Z) and recovered (R). In certain instances transition rates (from one state to another) depend on the time spent in the state; therefore the states W, Y and Z depend on time and length of stay in that state - similar to age-structured models. The model is particularly amenable to describe delays of exposed persons to become infectious and re-infection of exposed persons. Other transitions that depend on state time include the case finding and diagnosis, increased death rate and treatment interruption. The mathematical model comprises of a set of partial differential and ordinary differential equations. Non-steady state solutions are first presented, followed by a bifurcation study of the stationary states.

Graphical abstractFigure optionsDownload full-size imageDownload as PowerPoint slideHighlights► State-time model can improve upon SEIR models. ► State-time captures important re-infection effects. ► Re-infection recycles individuals into high-transmission-risk phase. ► Increased diagnosis must coincide with increased treatment adherence.

Keywords
Mathematical model; Tuberculosis; South Africa; Epidemiology; Drug-resistance; Reinfection; Partial differential equations; State-time
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Publisher
Database: Elsevier - ScienceDirect
Journal: Computational Biology and Chemistry - Volume 36, February 2012, Pages 15–22
Authors
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Subjects
Physical Sciences and Engineering Chemical Engineering Bioengineering
Get Full-Text Now
Don't Miss Today's Special Offer
Price was $35.95
You save - $31
Price after discount Only $4.95
100% Money Back Guarantee
Full-text PDF Download
Online Support
Any Questions? feel free to contact us