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SM Vaccines and Vaccination Journal

Analysis and Control of a Hepatitis B Virus Model

Abstract
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Received: 05-Nov-2025

Accepted: 15-Dec-2025

Published: 31-Dec-2025

Review Article | Volume 4 - Issue 1 | Article DOI :

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Lakshmi N. Sridhar*

Department of Chemical Engineering, University of Puerto Rico, USA

Corresponding Author:

Lakshmi N. Sridhar, Department of Chemical Engineering, University of Puerto Rico, USA

Keywords

Bifurcation; Optimization; Control; Hepatitis

Abstract

In this study, bifurcation analysis and multi-objective nonlinear model predictive control are performed on a Hepatitis B Virus 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 of branch points. The MNLMC converged to the Utopia solution. The branch points (which causes multiple steady-state solutions from a singular point) are very beneficial because they enable the Multiobjective nonlinear model predictive control calculations to converge to the Utopia point (the best possible solution) in the model.

Citation

Sridhar LN (2025) Analysis and Control of a Hepatitis B Virus Model: A Case Report. SM J Urol 5: 7.