Numerical optimal control applied to an epidemiological model

A previously published SIR-ASI optimal control model of dengue fever is described and the optimal control problem is solved in this paper by an alternative solution approach, namely by a direct transcription method. In this method, the optimal control problem is substituted by a nonlinear programming problem. The nonlinear programming problem is solved by an interior point method. In the following an a posteriori check of the necessary optimality conditions of optimal control, which has not yet been done, is performed with the discretized states, adjoints, and controls. The check shows some accordance with the numerical results, but unfortunately in this setting a seldom discrepancy is observed, which seems to be connected with the modeling of the mechanical control.