In this paper, we formulated an optimal control model for the spread and control of human African Trypanosomiasis (HAT). Firstly, the ordinary differential equation model of HAT with basic properties and equilibrium states is presented. We used the method to obtain the all-important epidemiological threshold called the basic reproductive number. Three time-dependent controls representing personal protection, treatment and insecticide use were incorporated into the model using Pontryagin’s principle. A numerical simulation was conducted to underscore the effects of optimal controls. The results show that the infective humans and tsetse flies have a downward trajectory with the three control strategies in place. In contrast, the susceptible humans and tsetse flies have an upward trajectory.
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