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Submitted On:

October 30, 2025

Published On:

November 19, 2025

Updated On:

November 19, 2025

Correspondence:

Lakshmi N sridhar, chemical engineering department university of puerto rico, mayaguez, pr 00681, China

Citation

Sridhar LN. Analysis and control of a tuberculosis model. Paediatr Horiz Adv Neonatal Care. 2025;1(1):1–6.

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Analysis and control of a tuberculosis model

Abstract
In this study, bifurcation analysis and multi objective nonlinear model predictive control is performed on a tuberculosis disease model. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. Several factors must be considered, and multiple objectives must be met simultaneously. The MATLAB program MATCONT was used to perform the bifurcation analysis. The MNLMPC calculations were performed using the optimization language PYOMO in conjunction with the state-of-the-art global optimization solvers IPOPT and BARON. The bifurcation analysis revealed the existence branch points. The MNLMC converged to the utopia solution. The branch points (which cause multiple steady-state solutions from a singular point) are very beneficial because they enable the Multi objective nonlinear model predictive control calculations to converge to the Utopia point (the best possible solution) in the model.

Keywords: Bifurcation, optimization, control, tuberculosis

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