liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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
Identifiers
URN: urn:nbn:se:liu:diva-76627DOI: 10.1016/j.compbiolchem.2011.11.003ISI: 000301766400003OAI: oai:DiVA.org:liu-76627DiVA: diva2:515426
Available from: 2012-04-13 Created: 2012-04-13 Last updated: 2017-12-07

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Pienaar, Elsje

Search in DiVA

By author/editor
Pienaar, Elsje
By organisation
Department of Clinical and Experimental MedicineFaculty of Health Sciences
In the same journal
Computational biology and chemistry (Print)
Medical and Health Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 38 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf