Optimal control and cost-effectiveness analysis for the human melioidosis model.

In this work, we formulated and investigated an optimal control problem of the melioidosis epidemic to explain the effectiveness of time-dependent control functions in controlling the spread of the epidemic. The basic reproduction number with control measures is obtained, using the next-generation matrix approach and the impact of the controls on is illustrated numerically. The optimal control problem is analyzed using Pontryagin's maximum principle to derive the optimality system.