Optimal Control Strategies of a HIV/AIDS Epidemic Model

摘要

We formulate a HIV/AIDS epidemic model with interventions so as to address the impacts of three control strategies such as strengthening precaution, diagnosis and education, and then we re-formulate the model as an optimal control problem. We primarily focus on controlling the disease using an objective function based on a combination of minimizing the number of HIV infections and minimizing the systemic cost of control strategies. By using Pontryagin’s maximum principle we derive the optimal levels of the three controls. Then, the optimal system is solved using an iterative method. Numerical simulations of the optimal system indicate that the precaution strategy is more effective in reducing disease transmission than the other two control strategies. So the precaution measure should be emphasized.