Mathematical Model of MDR-TB and XDR-TB with Isolation and Lost to Follow-Up
Joint Authors
Agusto, F. B.
Cook, J.
Shelton, P. D.
Wickers, M. G.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-29
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We present a deterministic model with isolation and lost to follow-up for the transmission dynamics of three strains of Mycobacterium tuberculosis (TB), namely, the drug sensitive, multi-drug-resistant (MDR), and extensively-drug-resistant (XDR) TB strains.
The model is analyzed to gain insights into the qualitative features of its associated equilibria.
Some of the theoretical and epidemiological findings indicate that the model has locally asymptotically stable (LAS) disease-free equilibrium when the associated reproduction number is less than unity.
Furthermore, the model undergoes in the presence of disease reinfection the phenomenon of backward bifurcation, where the stable disease-free equilibrium of the model coexists with a stable endemic equilibrium when the associated reproduction number is less than unity.
Further analysis of the model indicates that the disease-free equilibrium is globally asymptotically stable (GAS) in the absence of disease reinfection.
The result of the global sensitivity analysis indicates that the dominant parameters are the disease progression rate, the recovery rate, the infectivity parameter, the isolation rate, the rate of lost to follow-up, and fraction of fast progression rates.
Our results also show that increase in isolation rate leads to a decrease in the total number of individuals who are lost to follow-up.
American Psychological Association (APA)
Agusto, F. B.& Cook, J.& Shelton, P. D.& Wickers, M. G.. 2015. Mathematical Model of MDR-TB and XDR-TB with Isolation and Lost to Follow-Up. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1052125
Modern Language Association (MLA)
Agusto, F. B.…[et al.]. Mathematical Model of MDR-TB and XDR-TB with Isolation and Lost to Follow-Up. Abstract and Applied Analysis No. 2015 (2015), pp.1-21.
https://search.emarefa.net/detail/BIM-1052125
American Medical Association (AMA)
Agusto, F. B.& Cook, J.& Shelton, P. D.& Wickers, M. G.. Mathematical Model of MDR-TB and XDR-TB with Isolation and Lost to Follow-Up. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1052125
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052125