论文标题
对HIV感染预防前预防的随机最佳控制
Stochastic optimal control of pre-exposure prophylaxis for HIV infection
论文作者
论文摘要
在本文中，我们研究了使用PREP的随机模型中PrEP疫苗的随机最佳控制问题。通过使用随机最大原理，我们得出了对无约束控制问题的PREP的随机最佳控制，以及两种不同类型的预算约束。我们通过数值示例来说明结果。我们首先以恒定的确定性预备率研究了前置差分方程动力学。然后，我们将其与无约束的情况下的随机最佳控制进行了比较。
In this paper, we study the stochastic optimal control problem for the PReP vaccine in the stochastic model for HIV/AIDS with PReP. By using the stochastic maximum principle, we derive the stochastic optimal control of PReP for the unconstrained control problem, as well as for two different types of budget constrains. We illustrate the results by a numerical example. We first study the PReP stochastic differential equation dynamics with a constant, deterministic PReP treatment rate. Then, we compare this to the stochastic optimal control in the unconstrained case.
