Near-optimal control of a stochastic SICA model with imprecise parameters
arXiv:2210.00865 · doi:10.23952/cot.2022.27
Abstract
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.
arXiv commentThis is a preprint of a paper whose final and definite form is published in 'Commun. Optim. Theory'. Submitted 27-June-2022; Revised and Accepted 27-Sept-2022. In memory of Professor Jack Warga on the occasion of his 100th birthday
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