Global analysis of tuberculosis dynamical model and optimal control strategies based on case data in the United States

Y Li, X Liu, Y Yuan, J Li, L Wang - Applied Mathematics and Computation, 2022 - Elsevier
… as tuberculosis, as is reflected in the differences in the structure of mathematical models,
which in turn leads to the differences in the predicted impact of interventions [100]. The first …

The prevention and control of tuberculosis: an analysis based on a tuberculosis dynamic model derived from the cases of Americans

Y Wu, M Huang, X Wang, Y Li, L Jiang, Y Yuan - BMC Public Health, 2020 - Springer
… dynamic model to study the transmission dynamics of TB, and then use global differential …
In this section, we introduce our new mathematical model, briefly explain the structure of our …

A mathematical model of the tuberculosis epidemic

AY Ayinla, WAM Othman, M Rabiu - Acta Biotheoretica, 2021 - Springer
… a mathematical model of tuberculosis. A compartmental model of seven classes was used
in the model … To establish the global stability of the DFE of the model (3), the use of the …

Modelling the global burden of drug-resistant tuberculosis avertable by a post-exposure vaccine

H Fu, JA Lewnard, I Frost, R Laxminarayan… - Nature …, 2021 - nature.com
… Using mathematical models, we seek to estimate the potential impact of a post-exposure TB
… As a form of model validation, we compared model projections for TB prevalence to findings …

Tuberculosis control interventions targeted to previously treated people in a high-incidence setting: a modelling study

FM Marx, R Yaesoubi, NA Menzies… - … Lancet Global Health, 2018 - thelancet.com
… We projected the effect of annual targeted active case finding in all individuals who had …
In this study, we used a calibrated population-based mathematical model to project the effect of …

Alternative dosing guidelines to improve outcomes in childhood tuberculosis: a mathematical modelling study

KK Radtke, KE Dooley, PJ Dodd… - … & Adolescent Health, 2019 - thelancet.com
… representative of true global populations, are … model predicted that less than half of children
younger than 5 years would reach the rifampicin exposure target, a key drug for tuberculosis

Mathematical model for the growth of Mycobacterium tuberculosis in the granuloma

E Ibargüen-Mondragón, L Esteva… - Mathematical …, 2018 - aimsciences.org
… affect the model results. In this section we are interesting to perform global sensitivity analysis
of … 26] As it was expected, the complexity of the results increased with the assumption of …

Modeling and dynamic analysis of tuberculosis in mainland China from 1998 to 2017: the effect of DOTS strategy and further control

S Liu, Y Bi, Y Liu - Theoretical Biology and Medical Modelling, 2020 - Springer
… the second stage in “Results” section, we forecast the value of S,… In this paper, we propose
mathematical models and use … (\mathcal {R}_{0}< 1\) ensures the global stability of the …

Potential effect of age of BCG vaccination on global paediatric tuberculosis mortality: a modelling study

P Roy, J Vekemans, A Clark, C Sanderson… - … Lancet Global Health, 2019 - thelancet.com
… and the potential reduction in global tuberculosis deaths that could be … effect of age of BCG
on tuberculosis mortality would be challenging for many reasons and mathematical modelling

Progression from latent infection to active disease in dynamic tuberculosis transmission models: a systematic review of the validity of modelling assumptions

NA Menzies, E Wolf, D Connors… - The Lancet Infectious …, 2018 - thelancet.com
Mathematical models necessarily make assumptions … modelled progression from initial
infection to active disease, and the implications of these assumptions for predicted tuberculosis