Authors : Bassey B. Echeng and K.A. Lebedev
Abstract: In this study, we provide a very accurate numerical and semi-analytical solution to a system of non-linear differential equations derived in modeling the effect of bi-therapeutic treatment of Tuberculosis (TB) in a homogeneous population consisting of different groups (six different groups). The model studied the outcome of simultaneous application of isoniazid preventive therapy-IPT and antiretroviral therapy-ART in the treatment of TB. The numerical analysis made use of MATHCAD Program and the result showed that accelerated control and eradication of TB is predominantly affected by a number of the model’s input parameters such as: proportion of infectious individuals who use only IPT, the proportion of infectious individuals that use only ART, proportion of individuals who use both IPT and ART, the rate at which latently infected becomes infectious and the per capita rate of susceptible becoming latently infected. The model allowed us to evaluate the isolated performance of these treatment factors with ART indicating more active result. Our analysis show that effective eradication of TB can be achieved where a significant number of infected individual are exposed to free bi-therapeutic treatment and situation where this control measure is stipulated as a norm for the treatment and eradication of Tuberculosis (TB).
Bassey B. Echeng and K.A. Lebedev, 2015. On Mathematical Modeling of the Effect of Bi-Therapeutic Treatment of Tuberculosis Epidemic. Journal of Modern Mathematics and Statistics, 9: 1-7.