dc.contributor.author |
Kasereka Kabunga, Selain
|
|
dc.contributor.author |
Doungmo Goufo, Emile F.
|
|
dc.contributor.author |
Tuong, Vinh Ho
|
|
dc.date.accessioned |
2020-12-01T05:09:11Z |
|
dc.date.available |
2020-12-01T05:09:11Z |
|
dc.date.issued |
2020-11-16 |
|
dc.identifier.citation |
Advances in Difference Equations. 2020 Nov 16;2020(1):642 |
|
dc.identifier.uri |
https://doi.org/10.1186/s13662-020-03091-0 |
|
dc.identifier.uri |
http://hdl.handle.net/10500/26930 |
|
dc.description.abstract |
According to the World Health Organization reports, tuberculosis (TB) remains one of
the top 10 deadly diseases of recent decades in the world. In this paper, we present
the modeling, analysis and simulation of a mathematical model of TB transmission in
a population incorporating several factors and study their impact on the disease
dynamics. The spread of TB is modeled by eight compartments including different
groups, which are too often not taken into account in the projections of tuberculosis
incidence. The rigorous mathematical analysis of this model is provided, the basic
reproduction number (R0) is obtained and used for TB dynamics control. The results
obtained show that lost to follow-up and transferred individuals constitute a risk, but
less than the cases carrying germs. Rapidly evolving latent/exposed cases are
responsible for the incidence increasing in the short and medium term, while slower
evolving latent/exposed cases will be responsible for the persistent long-term
incidence and maintenance of TB and delay elimination in the population. The
numerical simulations of the model show that, with certain parameters, TB will die
out or sensibly reduce in the entire Democratic Republic of the Congo (DRC)
population. The strategies on which the DRC’s health system is currently based to
fight this disease show their weaknesses because the TB situation in the DRC remains
endemic. But monitoring contact, detection of latent individuals and their treatment
are actions to be taken to reduce the incidence of the disease and thus effectively
control it in the population. |
|
dc.format.extent |
1 online resource (19 pages) : color diagram, color graphs |
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dc.language.iso |
en |
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dc.rights |
© The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. |
en |
dc.rights.uri |
http://creativecommons.org/licenses/by/4.0/ |
|
dc.subject |
Tuberculosis |
en |
dc.subject |
Mathematical model |
en |
dc.subject |
Modeling-simulation |
en |
dc.subject |
DRC |
en |
dc.subject |
Equation-based model |
en |
dc.subject |
Differential equations |
en |
dc.subject.ddc |
614.542015118 |
|
dc.subject.lcsh |
Tuberculosis -- Transmission -- Congo (Democratic Republic) -- Mathematical models |
en |
dc.title |
Analysis and simulation of a mathematical model of tuberculosis transmission in Democratic Republic of the Congo |
en |
dc.type |
Article |
en |
dc.description.department |
Mathematical Sciences |
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dc.date.updated |
2020-12-01T05:09:11Z |
|
dc.rights.holder |
The Author(s) |
|