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A state-time epidem...
A state-time epidemiology model of tuberculosis: Importance of re-infection
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- Viljoen, S (author)
- London School of Economics
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- Pienaar, Elsje (author)
- Linköpings universitet,Institutionen för klinisk och experimentell medicin,Hälsouniversitetet
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- Viljoen, N J (author)
- University of Nebraska
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(creator_code:org_t)
- Elsevier, 2012
- 2012
- English.
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In: Computational biology and chemistry (Print). - : Elsevier. - 1476-9271 .- 1476-928X. ; 36, s. 15-22
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- 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.
Keyword
- Mathematical model
- Tuberculosis
- South Africa
- Epidemiology
- Drug-resistance
- Reinfection
- Partial differential equations
- State-time
- MEDICINE
- MEDICIN
Publication and Content Type
- ref (subject category)
- art (subject category)
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