Abstract
Gonorrhoea is a serious global health problem with more than 80 million new cases in 2020.It is possible for infants born to infected mothers to acquire the infection during the birthing process. In infants, it is not uncommon for gonorrhoea to affect the eyes.It is necessary to understand the dynamics and develop strategies to be able to control the spread of this disease. In this work, bifurcation analysis and multiobjective nonlinear model predictive control (MNLMPC) calculations are performed on a gonorrhea transmission model. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. The MATLAB program MATCONT was used to perform the bifurcation analysis. Several factors must be considered, and multiple objectives must be met simultaneously.The MNLMPC calculations were performed using the optimization language PYOMOin conjunction with the state-of-the-art global optimization solvers IPOPT andBARON. The bifurcation analysis revealed the existence of branch points in the model. The branch points were beneficial because they enabled the multiobjective nonlinear model predictive control calculations to converge to the Utopia point in both problems, which is the most beneficial solution.
Keywords: Gonorrhea, optimization, bifurcation, control, nonlinear, infant