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1Department of Mathematics, Kennesaw State University, 365 Cobb Ave NW, MD#1601, Kennesaw, GA, 30144, USA. acroicu@kennesaw.edu.
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This study examines influenza transmission dynamics through mathematical modeling, vaccination strategies using optimal control, and the impact of key model parameters to the optimal control for the 2023-2024 influenza season in the United States. Using data from the CDC's FluView Interactive and FluVaxView databases, key parameters were estimated, revealing significant variability across states. Tailored vaccination strategies, designed to align with state-specific data and conditions, effectively reduced infections and reproduction numbers in all states. Sensitivity analysis of the optimal vaccination strategy and reproduction number revealed complex interactions among model parameters. These findings emphasize the need for carefully designed public health strategies to manage influenza effectively, supported by key recommendations presented in this paper.
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