Optimal control of Human African Trypanosomiasis in a population with endemic malaria
Abstract
Optimal control theory is applied to a system of ordinary differential equations
modelling a co-infection of malaria and sleeping sickness. The objective is to minimisechances of a malaria individual acquiring sleeping sickness. Two controls areused, one preventing infection and another preventing bites by the tsetse fly to theco-infected. The optimal controls are characterized in terms of the optimality system,which is solved numerically for three different scenarios. Results show that
controlling co-infections of malaria and sleeping sickness can best be achieved if thebites from the tsetse fly are prevented.
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