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arXiv · 2210.00865

Near-optimal control of a stochastic SICA model with imprecise parameters

Houssine Zine·Delfim F. M. Torres
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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.

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Houssine Zine, Delfim F. M. Torres. 2022-09-28. Near-optimal control of a stochastic SICA model with imprecise parameters. https://doi.org/10.23952/cot.2022.27

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