This paper analyzes the controllability of a stochastic model of lymphatic filariasis. Like other
diseases, the spread of lymphatic filariasis is subject to a degree of randomness due to fluctuations in
the natural environment. This provides an opportunity to formulate a mathematical model of lymphatic
filariasis that accounts for as much external stochasticity as possible. First, we use stochastic optimal
control theory to formulate the control problem associated with the model. We then study the existence
of an adapted optimal control and characterize the stochastic optimal control. Finally, we present some
numerical simulations to validate our results.

lymphatic filariasis; optimal control; stochastic model