论文标题
对具有不精确参数的随机SICA模型的近乎最佳控制
Near-optimal control of a stochastic SICA model with imprecise parameters
论文作者
论文摘要
与不精确参数的随机SICA(易感性感染 - 奇异辅助AID)的近乎最佳控制问题(易感性感染的chronic-AID)隔室流行模型。我们证明了随机系统的状态和共同状态变量的一些估计。然后,已建立的不等式被用来证明具有不精确参数的近距离控制的必要条件。这些证明涉及几种数学和随机工具,包括伯克霍尔德·戴维斯·冈迪不平等。
An adequate near-optimal control problem for a stochastic SICA (Susceptible-Infected-Chronic-AIDS) compartmental epidemic model for HIV transmission with imprecise parameters is formulated and investigated. We prove some estimates for the state and co-state variables of the stochastic system. The established inequalities are then used to prove a necessary and a sufficient condition for near-optimal control with imprecise parameters. The proofs involve several mathematical and stochastic tools, including the Burkholder-Davis-Gundy inequality.