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A state-time epidemiology model of tuberculosis: Importance of re-infection
London School of Economics.
Linköping University, Department of Clinical and Experimental Medicine. Linköping University, Faculty of Health Sciences.
University of Nebraska.
2012 (English)In: Computational biology and chemistry (Print), ISSN 1476-9271, E-ISSN 1476-928X, Vol. 36, 15-22 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier , 2012. Vol. 36, 15-22 p.
Keyword [en]
Mathematical model, Tuberculosis, South Africa, Epidemiology, Drug-resistance, Reinfection, Partial differential equations, State-time
National Category
Medical and Health Sciences
URN: urn:nbn:se:liu:diva-76627DOI: 10.1016/j.compbiolchem.2011.11.003ISI: 000301766400003OAI: diva2:515426
Available from: 2012-04-13 Created: 2012-04-13 Last updated: 2012-04-13

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Pienaar, Elsje
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Department of Clinical and Experimental MedicineFaculty of Health Sciences
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