Abstract

In this study, bifurcation analysis and multi-objective nonlinear model predictive control is performed on a cholera 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 of a limit point. The MNLMC converged to the utopia solution. The limit point (which causes multiple steady-state solutions from a singular point) is very beneficial because it enables the multiobjective nonlinear model predictive control calculations to converge to the Utopia point (the best possible solution) in the model.

Keywords:Bifurcation; Optimization; Control; Cholera