We consider a free terminal time optimal control problemof human immunodeficiency virus(HIV) type 1 infection . We describe an optimal tracking problem attempting to move the state of the system from an “unhealthy” state (high virus load and low i...
We consider a free terminal time optimal control problemof human immunodeficiency virus(HIV) type 1 infection . We describe an optimal tracking problem attempting to move the state of the system from an “unhealthy” state (high virus load and low immune response) to a “healthy” one (with low viral load and high immune effector levels).We derive an optimal treatment time as well as HIV therapeutic strategies. We demonstrate optimal treatment protocol can lead to long-term control of HIV by the strong immune effector by numerical simulations.