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DOI: 10.23952/cot.2022.27
Received July 27, 2022; Accepted September 28, 2022; Published December 7, 2022
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.
How to Cite this Article:
H. Zine, D.F.M. Torres, Near-optimal control of a stochastic SICA model with imprecise parameters, Commun. Optim. Theory 2022 (2022) 27.