# Analysis of The Impact of Diabetes on The Dynamical Transmission of Tuberculosis

D.P. Moualeu; S. Bowong; J.J. Tewa; Y. Emvudu

Mathematical Modelling of Natural Phenomena (2012)

- Volume: 7, Issue: 3, page 117-146
- ISSN: 0973-5348

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topMoualeu, D.P., et al. "Analysis of The Impact of Diabetes on The Dynamical Transmission of Tuberculosis." Mathematical Modelling of Natural Phenomena 7.3 (2012): 117-146. <http://eudml.org/doc/222424>.

@article{Moualeu2012,

abstract = {Tuberculosis (TB) remains a major global health problem. A possible risk factor for TB is
diabetes (DM), which is predicted to increase dramatically over the next two decades,
particularly in low and middle income countries, where TB is widespread. This study aimed
to assess the strength of the association between TB and DM. We present a deterministic
model for TB in a community in order to determine the impact of DM in the spread of the
disease. The important mathematical features of the TB model are thoroughly investigated.
The epidemic threshold known as the basic reproduction number and equilibria for the model
are determined and stabilities analyzed. The model is numerically analyzed to assess the
impact of DM on the transmission dynamics of TB. We perform sensitivity analysis on the
key parameters that drive the disease dynamics in order to determine their relative
importance to disease transmission and prevalence. Numerical simulations suggest that DM
enhances the TB transmission and progression to active TB in a community. The results
suggest that there is a need for increased attention to intervention strategies such as
the chemoprophylaxis of TB latent individuals and treatment of active TB in people with
DM, which may include testing for suspected diabetes, improved glucose control, and
increased clinical and therapeutic monitoring in order to reduce the burden of the
disease. },

author = {Moualeu, D.P., Bowong, S., Tewa, J.J., Emvudu, Y.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {nonlinear dynamical systems; epidemiological models; diabetes; tuberculosis; stability; bifurcation; bifurcations},

language = {eng},

month = {6},

number = {3},

pages = {117-146},

publisher = {EDP Sciences},

title = {Analysis of The Impact of Diabetes on The Dynamical Transmission of Tuberculosis},

url = {http://eudml.org/doc/222424},

volume = {7},

year = {2012},

}

TY - JOUR

AU - Moualeu, D.P.

AU - Bowong, S.

AU - Tewa, J.J.

AU - Emvudu, Y.

TI - Analysis of The Impact of Diabetes on The Dynamical Transmission of Tuberculosis

JO - Mathematical Modelling of Natural Phenomena

DA - 2012/6//

PB - EDP Sciences

VL - 7

IS - 3

SP - 117

EP - 146

AB - Tuberculosis (TB) remains a major global health problem. A possible risk factor for TB is
diabetes (DM), which is predicted to increase dramatically over the next two decades,
particularly in low and middle income countries, where TB is widespread. This study aimed
to assess the strength of the association between TB and DM. We present a deterministic
model for TB in a community in order to determine the impact of DM in the spread of the
disease. The important mathematical features of the TB model are thoroughly investigated.
The epidemic threshold known as the basic reproduction number and equilibria for the model
are determined and stabilities analyzed. The model is numerically analyzed to assess the
impact of DM on the transmission dynamics of TB. We perform sensitivity analysis on the
key parameters that drive the disease dynamics in order to determine their relative
importance to disease transmission and prevalence. Numerical simulations suggest that DM
enhances the TB transmission and progression to active TB in a community. The results
suggest that there is a need for increased attention to intervention strategies such as
the chemoprophylaxis of TB latent individuals and treatment of active TB in people with
DM, which may include testing for suspected diabetes, improved glucose control, and
increased clinical and therapeutic monitoring in order to reduce the burden of the
disease.

LA - eng

KW - nonlinear dynamical systems; epidemiological models; diabetes; tuberculosis; stability; bifurcation; bifurcations

UR - http://eudml.org/doc/222424

ER -

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