Optimal Control of a Multi-scale HIV-Opioid Model

Explore a 48-minute lecture by Maia Martcheva from the University of Florida that introduces an HIV-opioid multi-scale immuno-epidemiological model fitted to real data. Learn how optimal control theory is applied using four distinct controls: opioid use treatment, HIV risk behavior reduction among opioid users, entry inhibiting antiviral therapy, and viral production-blocking antiviral therapy. Discover the comparative effectiveness of population-level and within-host level interventions, with findings suggesting that reducing HIV risk behaviors among opioid users has a stronger impact on co-affected populations than treating opioid disorder alone. Understand how within-host antiviral treatments affect both co-affected and HIV-only infected populations, ultimately revealing that the most effective strategy for managing these dual epidemics requires combining all controls at both within-host and between-host scales.